{"id":20491,"date":"2023-06-28T11:08:30","date_gmt":"2023-06-28T03:08:30","guid":{"rendered":"https:\/\/achieve.dhcn.cn\/?p=20491"},"modified":"2024-04-04T01:24:44","modified_gmt":"2024-04-03T17:24:44","slug":"%e6%8c%89%e5%9b%be%e8%83%bd%e5%90%a6%e7%b4%a2%e9%aa%a5-%e5%85%b3%e4%ba%8e%e7%a4%be%e4%bc%9a%e7%bd%91%e7%bb%9c%e5%88%86%e6%9e%90%e7%9a%84%e4%b8%80%e7%82%b9%e6%80%9d%e8%80%83","status":"publish","type":"post","link":"https:\/\/achieve.dhcn.cn\/en\/site\/works\/dhjournal\/202201\/20491.html","title":{"rendered":"\u6309\u56fe\u80fd\u5426\u7d22\u9aa5\u2014\u2014\u5173\u4e8e\u793e\u4f1a\u7f51\u7edc\u5206\u6790\u7684\u4e00\u70b9\u601d\u8003"},"content":{"rendered":"<p>\u674e\u60e0 \/ \u5357\u4eac\u519c\u4e1a\u5927\u5b66\u4eba\u6587\u4e0e\u793e\u4f1a\u53d1\u5c55\u5b66\u9662<\/p>\n\n\n\n<p><strong>\u6458 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\u6570\u5b57\u4eba\u6587 \u65e0\u6807\u5ea6\u7f51\u7edc \u7f51\u7edc\u4e2d\u5fc3\u6027 \u793e\u533a\u53d1\u73b0<\/p>\n\n\n\n<p><strong>\u5f15 \u8a00<\/strong><\/p>\n\n\n\n<p>\u590d\u6742\u7f51\u7edc\uff08Complex Networks\uff09\u662f\u73b0\u5b9e\u4e16\u754c\u4e2d\u590d\u6742\u7cfb\u7edf\u7684\u62d3\u6251\u62bd\u8c61\uff0c\u4ece\u6570\u5b66\u7684\u89d2\u5ea6\uff0c\u53ef\u4ee5\u5b9a\u4e49\u4e3a\u4ee5\u591a\u79cd\u7c7b\u578b\u7684\u5b9e\u4f53\u4e3a\u8282\u70b9\u3001\u4ee5\u5b9e\u4f53\u4e4b\u95f4\u7684\u76f8\u4e92\u4f5c\u7528\u5173\u7cfb\u4e3a\u8fb9\u6784\u6210\u7684\u56fe\u3002\u6bd4\u8f83\u5e38\u89c1\u7684\u590d\u6742\u7f51\u7edc\u6709\u4ea4\u901a\u7f51\u7edc\u3001\u91d1\u878d\u7f51\u7edc\u3001\u793e\u4f1a\u7f51\u7edc\u7b49\u3002\u793e\u4f1a\u7f51\u7edc\u5206\u6790\uff08Social Network Analysis\uff0c\u7b80\u79f0SNA\uff09\u662f\u4f7f\u7528\u7f51\u7edc\u548c\u56fe\u7684\u76f8\u5173\u7406\u8bba\u548c\u65b9\u6cd5\u63a2\u7d22\u793e\u4f1a\u5173\u7cfb\u7684\u5177\u4f53\u5b9e\u8df5\uff0c\u65e2\u5173\u6ce8\u4e2a\u4f53\u884c\u4e3a\uff0c\u4e5f\u5173\u6ce8\u7f51\u7edc\u6574\u4f53\u62d3\u6251\u7ed3\u6784\u53cd\u6620\u7684\u5173\u7cfb\u6a21\u5f0f\u3002<\/p>\n\n\n\n<p>\u793e\u4f1a\u7f51\u7edc\u5206\u6790\u7684\u96cf\u5f62\uff0c\u73b0\u53ef\u8ffd\u6eaf\u81f319\u4e16\u7eaa\u4e2d\u671f\u793e\u4f1a\u5b66\u7684\u521b\u59cb\u4eba\u4e4b\u4e00\u3001\u6cd5\u56fd\u54f2\u5b66\u5bb6Auguste Comte\u5bf9\u793e\u4f1a\u7cfb\u7edf\u5185\u90e8\u5173\u7cfb\u7684\u7814\u7a76\uff0c\u201c\u5bb6\u5ead\u6f14\u53d8\u6210\u90e8\u843d\uff0c\u90e8\u843d\u6f14\u53d8\u6210\u56fd\u5bb6\u201d\u3002[1]\u4e4b\u540e\uff0c\u5fb7\u56fd\u6559\u5e08Johannes Delitsch\u57281900\u5e74\u7528\u77e9\u9635\u63cf\u8ff0\u4e86\u6240\u4efb\u6559\u73ed\u7ea753\u540d\u7537\u751f\u57281880\u52301881\u5e74\u95f4\u7684\u53cb\u8c0a\u5173\u7cfb\uff0c[2]\u4ed6\u53d1\u73b0\uff0c\u5b66\u751f\u5b66\u4e1a\u8868\u73b0\u7684\u6392\u540d\u4e0e\u8be5\u751f\u7684\u53d7\u6b22\u8fce\u7a0b\u5ea6\u5bc6\u5207\u76f8\u5173\u3002\u76f8\u4f3c\u7684\uff0c1934\u5e74\u533b\u5b66\u535a\u58ebJacob Moreno\u5728\u6240\u64b0\u7684\u793e\u4f1a\u8ba1\u91cf\u5b66\u8457\u4f5c<em>Who shall Survive[3]<\/em>\u4e2d\uff0c\u7528\u793e\u4f1a\u5173\u7cfb\u56fe\u5206\u6790\u4e86\u7ebd\u7ea6\u67d0\u611f\u5316\u9662\u4e2d\u5c11\u5973\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u4ee5\u6b64\u6765\u5236\u5b9a\u653f\u7b56\uff0c\u65e8\u5728\u51cf\u5c11\u9752\u5c11\u5e74\u7684\u53db\u9006\u884c\u4e3a\u3002\u793e\u4f1a\u8ba1\u91cf\u5b66\u91c7\u7528\u91cf\u5316\u7814\u7a76\u65b9\u6cd5\u5f00\u5c55\u5b9e\u9a8c\uff0c\u65e8\u5728\u63a2\u7d22\u4e2a\u4eba\u5728\u7fa4\u4f53\u4e2d\u7684\u5730\u4f4d\u4ee5\u53ca\u7fa4\u4f53\u7684\u6f14\u53d8\u89c4\u5f8b\u548c\u7ec4\u7ec7\u67b6\u6784\uff0c\u800c\u8fd9\u79cd\u5bf9\u793e\u4f1a\u7fa4\u4f53\u7ed3\u6784\u7684\u5173\u6ce8\u6b63\u662f\u793e\u4f1a\u7f51\u7edc\u7814\u7a76\u7684\u6838\u5fc3\u3002\u52301930\u5e74\u4ee3\u672b\uff0c\u793e\u4f1a\u7f51\u7edc\u7814\u7a76\u5c31\u5df2\u5177\u5907\u4e86\u793e\u4f1a\u5b66\u5bb6Linton Freeman[4]\u6240\u5b9a\u4e49\u7684\u73b0\u4ee3\u793e\u4f1a\u7f51\u7edc\u5206\u6790\u7684\u56db\u8981\u7d20\uff1a\uff081\uff09\u5efa\u7acb\u7ed3\u6784\u6027\u7684\u601d\u7ef4\u76f4\u89c9\uff1b\uff082\uff09\u7cfb\u7edf\u6027\u5730\u641c\u96c6\u5173\u7cfb\u6570\u636e\uff1b\uff083\uff09\u7f51\u7edc\u7ed3\u6784\u53ef\u89c6\u5316\uff1b\uff084\uff09\u6784\u5efa\u6570\u5b66\u6a21\u578b\u548c\u8ba1\u7b97\u6a21\u578b\u3002\u968f\u7740\u8be5\u9886\u57df\u5b66\u8005\u5728\u9ad8\u6821\u95f4\u7684\u5de5\u4f5c\u8c03\u52a8\u548c\u5b66\u672f\u4ea4\u6d41\u3001\u4fe1\u606f\u6280\u672f\u7684\u53d1\u5c55\u3001\u56fd\u9645\u6027\u4f1a\u8bae\u7684\u53ec\u5f00\u548c\u5b66\u672f\u671f\u520a\u7684\u521b\u529e\uff0c\u793e\u4f1a\u7f51\u7edc\u7684\u6982\u5ff5\u4f20\u64ad\u81f3\u66f4\u5e7f\u6cdb\u7684\u5b66\u79d1\u9886\u57df\uff0c\u53d7\u5230\u591a\u5b66\u79d1\u5b66\u672f\u6743\u5a01\u7684\u8ba4\u53ef\u3002<\/p>\n\n\n\n<p>\u968f\u7740\u6570\u5b57\u5316\u6570\u636e\u8d44\u6e90\u65e5\u76ca\u4e30\u5bcc\uff0c\u6108\u6765\u6108\u591a\u7684\u4eba\u6587\u5b66\u8005\u5f00\u59cb\u63a2\u7d22\u5927\u89c4\u6a21\u6587\u732e\u7684\u5171\u6027\u7279\u5f81\uff0c\u4ee5\u53ca\u5386\u53f2\u53d1\u5c55\u4e2d\u4e8b\u7269\u4e4b\u95f4\uff08\u5982\u4eba\u7269\u3001\u4e8b\u4ef6\u3001\u5730\u70b9\u3001\u7269\u4f53\u3001\u6982\u5ff5\u7b49\uff09\u7684\u76f8\u4e92\u4f5c\u7528\u5173\u7cfb\uff0c\u5982\u5386\u53f2\u5b66\u8005Maximilian Schich\u7b49[5]\u57282014\u5e74\u57fa\u4e8e\u4e24\u5343\u5e74\u95f4\u6b27\u6d32\u548c\u5317\u7f8e\u540d\u4eba\u7684\u51fa\u751f\u5730\u548c\u6b7b\u4ea1\u5730\u6570\u636e\uff0c\u53ef\u89c6\u5316\u5730\u5448\u73b0\u6b27\u6d32\u4ece\u53e4\u7f57\u9a6c\u65f6\u671f\u81f3\u4eca\u7684\u6587\u5316\u540d\u4eba\u7684\u8fc1\u5f99\u7f51\u7edc\uff1b\u5386\u53f2\u5b66\u8005Ruth Ahnert\u7b49[6]\u57fa\u4e8e\u4ea8\u5229\u516b\u4e16\u5230\u4f0a\u4e3d\u838e\u767d\u4e00\u4e16\uff081509\u20141603\uff09\u4e5d\u5341\u4f59\u5e74\u95f4\u903e12\u4e07\u5c01\u4fe1\uff0c\u6784\u5efa\u4e86\u90fd\u94ce\u738b\u671d\u82f1\u56fd\u540d\u4eba\u7684\u4e66\u4fe1\u7f51\u7edc\uff1b\u65af\u5766\u798f\u5927\u5b66\u7684Kindred Britain\u9879\u76ee\uff0c[7]\u57fa\u4e8e1500\u5e74\u95f4\u82f1\u56fd\u7ea6\u4e09\u4e07\u4eba\u7684\u4eb2\u5c5e\u5173\u7cfb\u6784\u5efa\u7684\u793e\u4f1a\u7f51\u7edc\uff0c\u4ee5\u53ef\u89c6\u5316\u7684\u65b9\u5f0f\u5c55\u793a\u4e86\u82f1\u56fd\u540d\u4eba\u7684\u5bb6\u65cf\u8109\u7edc\u3002\u7531\u6b64\u53ef\u89c1\uff0c\u8d8a\u6765\u8d8a\u591a\u7684\u4eba\u6587\u5b66\u8005\u9009\u62e9\u793e\u4f1a\u7f51\u7edc\u5206\u6790\u7684\u8ba1\u7b97\u65b9\u6cd5\uff0c\u9ad8\u6548\u5730\u62bd\u53d6\u5927\u89c4\u6a21\u6570\u5b57\u5316\u8d44\u6e90\u4e2d\u9690\u542b\u7684\u5404\u79cd\u5173\u7cfb\uff0c\u5982\u4eba\u7269\u4eb2\u5c5e\u5173\u7cfb\u3001\u4eba\u9645\u4ea4\u5f80\u5173\u7cfb\u3001\u5171\u73b0\u5173\u7cfb\u7b49\u3002\u5728\u6b64\u57fa\u7840\u4e0a\uff0c\u8fdb\u800c\u89c2\u5bdf\u4e8b\u4ef6\u7684\u6f14\u53d8\u8d8b\u52bf\uff0c\u4e3a\u76f8\u5173\u5b66\u79d1\u63d0\u4f9b\u4e86\u65b0\u7684\u89e3\u8bfb\u89c6\u89d2\u4e0e\u7814\u7a76\u8def\u5f84\u3002<\/p>\n\n\n\n<p>\u73b0\u9636\u6bb5\u4eba\u6587\u9886\u57df\u793e\u4f1a\u7f51\u7edc\u5206\u6790\u7684\u7814\u7a76\u70ed\u70b9\uff0c\u591a\u4e3a\u6587\u732e\u4e2d\u5b9e\u4f53\u5173\u7cfb\u7684\u62bd\u53d6\u548c\u7f51\u7edc\u53ef\u89c6\u5316\u7684\u5448\u73b0\uff0c\u8fd9\u4e24\u79cd\u7814\u7a76\u76f8\u8f85\u76f8\u6210\uff0c\u4f46\u5bf9\u8ba1\u7b97\u65b9\u6cd5\u7684\u9009\u53d6\u4f9d\u636e\u548c\u8bc4\u4ef7\u6807\u51c6\uff0c\u5c1a\u672a\u6709\u660e\u6670\u7684\u8ba4\u77e5\uff1b\u4e14\u8bb8\u591a\u672a\u53c2\u4e0e\u8fc7\u201c\u6570\u5b57\u4eba\u6587\u201d\u7814\u7a76\u7684\u4eba\u6587\u5b66\u8005\uff0c\u5bf9\u7f51\u7edc\u5206\u6790\u7684\u6027\u8d28\u548c\u6548\u679c\u6301\u4fdd\u7559\u548c\u89c2\u671b\u7684\u6001\u5ea6\u3002\u56e0\u6b64\u672c\u6587\u4ece\u7814\u7a76\u4e2d\u5e38\u7528\u7684\u793e\u4f1a\u7f51\u7edc\u5206\u6790\u7684\u539f\u7406\u548c\u65b9\u6cd5\u5165\u624b\uff0c\u5c31\u65e0\u6807\u5ea6\u7f51\u7edc\u3001\u4e2d\u5fc3\u6027\u5ea6\u91cf\u548c\u793e\u533a\u53d1\u73b0\u8fd9\u4e09\u4e2a\u65b9\u9762\u5206\u6790\u5728\u5177\u4f53\u5b9e\u65bd\u4e2d\u7684\u96be\u70b9\u548c\u9700\u6ce8\u610f\u7684\u8981\u70b9\u52a0\u4ee5\u63a2\u8ba8\uff0c\u5e0c\u671b\u80fd\u591f\u4fc3\u6210\u5bf9\u793e\u4f1a\u7f51\u7edc\u5206\u6790\u66f4\u5168\u9762\u3001\u6df1\u5165\u7684\u7406\u89e3\uff0c\u4f7f\u4eba\u6587\u5b66\u8005\u5728\u5177\u4f53\u5e94\u7528\u4e2d\u6709\u7684\u653e\u77e2\uff0c\u5c06\u66f4\u591a\u7684\u7cbe\u529b\u6295\u5165\u5230\u95ee\u9898\u7684\u63d0\u51fa\u548c\u7ed3\u679c\u7684\u9610\u91ca\u5f53\u4e2d\u3002<\/p>\n\n\n\n<p><strong>\u4e00\u3001\u65e0\u6807\u5ea6\u7f51\u7edc\u548c\u5e42\u5f8b\u5206\u5e03<\/strong><\/p>\n\n\n\n<p>\u5173\u4e8e\u65e0\u6807\u5ea6\u7279\u6027\u548c\u5e42\u5f8b\u5206\u5e03\u7684\u7814\u7a76\uff0c\u76ee\u524d\u5df2\u8ffd\u6eaf\u81f3\u610f\u5927\u5229\u7ecf\u6d4e\u5b66\u5bb6Pareto[8]\u572819\u4e16\u7eaa\u672b\u7684\u8d22\u5bcc\u5206\u5e03\u8c03\u67e5\uff0c\u4ed6\u89c2\u5bdf\u5230\u610f\u5927\u522920%\u7684\u4eba\u53e3\u62e5\u670980%\u7684\u571f\u5730\u8d44\u6e90\u3002\u53d7\u6b64\u542f\u53d1\uff0c\u8d28\u91cf\u7ba1\u7406\u5b66\u5bb6Juran[9]\u572820\u4e16\u7eaa\u4e2d\u671f\u63d0\u51fa\u5e15\u7d2f\u6258\u6cd5\u5219\uff08Pareto Principle\uff0c\u4ea6\u88ab\u79f0\u4e3a\u4e8c\u516b\u5b9a\u5f8b\uff09\uff0c\u537320%\u7684\u53d8\u56e0\u5bfc\u81f4\u4e86\u7ea680%\u7684\u7ed3\u679c\uff0c\u6362\u8a00\u4e4b\uff0c\u6240\u6709\u53d8\u91cf\u4e2d\uff0c\u6700\u91cd\u8981\u7684\u4ec5\u5360\u5c11\u6570\uff0820%\uff09\u3002\u8fd9\u79cd\u201c\u5173\u952e\u5c11\u6570\u201d\u73b0\u8c61\u51fa\u73b0\u5728\u5f88\u591a\u9886\u57df\uff1a\u793e\u4f1a\u5173\u7cfb\u8ba1\u91cf\u5b66\u7684\u521b\u59cb\u4ebaMoreno\u548cJennings[10]\u57281938\u5e74\u901a\u8fc7\u7406\u8bba\u8ba1\u7b97\u4f50\u8bc1\u5e76\u62d3\u5c55\u4e86\u793e\u4f1a\u5b66\u5bb6Lazarsfeld\u7684\u6784\u60f3\uff0c\u5373\u5b66\u751f\u9009\u62e9\u4f19\u4f34\u65f6\uff0c\u4f1a\u6709\u4e00\u4e2a\u5b66\u751f\u88ab\u591a\u6570\u4eba\u9009\u62e9\uff0c\u4f46\u4ed6\/\u5979\u5e76\u4e0d\u4f1a\u76f8\u5e94\u5730\u9009\u62e9\u5176\u4ed6\u4eba\uff1b\u793e\u4f1a\u5b66\u5bb6Merton[11]\u63d0\u51fa\u9a6c\u592a\u6548\u5e94\uff08The Matthew Effect\uff09\uff0c\u5373\u76f8\u6bd4\u4e8e\u65e0\u540d\u5c0f\u5352\uff0c\u8457\u540d\u79d1\u5b66\u5bb6\u7684\u6210\u679c\u66f4\u5bb9\u6613\u83b7\u5f97\u8ba4\u53ef\u548c\u5609\u5956\uff1b\u7ecf\u6d4e\u5b66\u5bb6Simon[12]\u53d1\u73b0\u4e0d\u4ec5\u5728\u7ecf\u6d4e\u9886\u57df\uff0c\u5728\u793e\u4f1a\u548c\u751f\u7269\u9886\u57df\u4e2d\u4e5f\u5e7f\u6cdb\u5b58\u5728\u6307\u6570\u5927\u4e8e1\u7684\u5e42\u5f8b\u5206\u5e03\uff0c\u5373\u957f\u5c3e\u5206\u5e03\uff1b\u79d1\u5b66\u8ba1\u91cf\u4e4b\u7236Price[13]\u6307\u51fa\u79d1\u5b66\u6587\u732e\u7684\u6709\u5411\u5f15\u7528\u7f51\u7edc\u4e2d\uff0c\u8282\u70b9\u5ea6\u9075\u5faa\u5e42\u5f8b\u5206\u5e03\uff0c\u4e14\u5b58\u5728\u7d2f\u79ef\u4f18\u52bf\uff08Cumulative Advantage\uff0c\u4e5f\u79f0\u4e3a\u4f18\u5148\u94fe\u63a5\uff09\uff0c\u5982\u5f15\u7528\u7387\u8f83\u9ad8\u7684\u6587\u7ae0\u66f4\u6613\u83b7\u5f97\u65b0\u7684\u5f15\u7528\u3002\u7269\u7406\u5b66\u5bb6Barab\u00e1si[14]\u57281999\u5e74\u5c06\u4e92\u8054\u7f51\u6240\u5448\u73b0\u51fa\u7684\u7c7b\u4f3c\u73b0\u8c61\u91cf\u5316\u4e3a\u65e0\u6807\u5ea6\u7279\u6027\uff0c\u81ea\u6b64\u76f8\u5173\u7814\u7a76\u6210\u4e3a\u70ed\u70b9\u3002<\/p>\n\n\n\n<p>\u7ed9\u5b9a\u7f51\u7edc\u4e2d\uff0c\u82e5\u53ea\u6709\u5c11\u90e8\u5206\u8282\u70b9\u5177\u6709\u9ad8\u5ea6\u503c\uff0c\u800c\u5176\u4f59\u8282\u70b9\u7684\u5ea6\u503c\u90fd\u5f88\u4f4e\uff0c\u8fd9\u79cd\u73b0\u8c61\u5c31\u79f0\u4e3a\u7f51\u7edc\u7684\u65e0\u6807\u5ea6\u7279\u6027\uff08Scale-free Network\uff09\u3002\u800c\u5e42\u5f8b\u5206\u5e03\uff08Power-law Distribution\uff09\u7684\u901a\u5f0f\u53ef\u5199\u4e3a<em>y=cx<\/em><em>-r<\/em>\uff0c\u5176\u4e2d<em>r<\/em>\u4e3a\u5e42\u6307\u6570\uff0c<em>c<\/em>\u4e3a\u5927\u4e8e\u96f6\u7684\u5e38\u6570\u3002\u5e42\u5f8b\u5206\u5e03\u7684\u5171\u6027\u662f\u53ea\u6709\u5c11\u6570\u4e8b\u4ef6\u7684\u53d1\u751f\u7387\u5f88\u9ad8\uff0c\u800c\u7edd\u5927\u591a\u6570\u4e8b\u4ef6\u7684\u53d1\u751f\u7387\u5f88\u4f4e\u3002[15]\u8fd1\u4e8c\u5341\u5e74\u5185\uff0c\u65e0\u6807\u5ea6\u7279\u6027\u548c\u5e42\u5f8b\u5206\u5e03\u5728\u5404\u5b66\u79d1\u9886\u57df\u6784\u5efa\u7684\u7f51\u7edc\u4e2d\u5747\u88ab\u53d1\u73b0\uff0c\u4ee5\u6211\u56fd\u7684\u6570\u5b57\u4eba\u6587\u9886\u57df\u4e3a\u4f8b\uff0c\u96c6\u4e2d\u5728\u73b0\u4ee3\u6c49\u8bed\u7684\u8bcd\u6c47\u7f51\u7edc\u3001\u8bed\u4e49\u573a\u7f51\u7edc\u3001\u4eba\u7269\u7f51\u7edc\u7b49\u3002\u4f46\u65e0\u6807\u5ea6\u7f51\u7edc\u662f\u5426\u7b49\u540c\u4e8e\u670d\u4ece\u5e42\u5f8b\u5206\u5e03\u7684\u7f51\u7edc\uff0c\u4ecd\u5904\u5728\u63a2\u8ba8\u4e4b\u4e2d\u3002Clauset\u7b49\u4eba[16]\u57282018\u5e74\u5bf9\u8fd1\u4e00\u5343\u4e2a\u793e\u4ea4\u3001\u751f\u7269\u3001\u4ea4\u901a\u7b49\u7f51\u7edc\u6570\u636e\u96c6\u5f00\u5c55\u5e42\u5f8b\u68c0\u9a8c\uff0c\u53d1\u73b0\u53ea\u6709\u7ea64%\u7684\u7f51\u7edc\uff0c\u663e\u793a\u51fa\u660e\u663e\u7684\u65e0\u6807\u5ea6\u7ed3\u6784\u7279\u6027\u3002\u4f46Barabasi\u7b49\u4eba[17]\u653e\u5bbd\u4e86\u5e42\u5f8b\u5206\u5e03\u7684\u516c\u5f0f\u5b9a\u4e49\uff0c\u5bf9115\u4e2a\u7f51\u7edc\u6570\u636e\u96c6\u5f00\u5c55\u68c0\u9a8c\uff0c\u53d1\u73b0\u65e0\u6807\u5ea6\u7f51\u7edc\u7684\u6bd4\u4f8b\u8981\u660e\u663e\u8981\u9ad8\u4e8eClauset\u7684\u7ed3\u8bba\u3002\u867d\u7136\u65e0\u6807\u5ea6\u7f51\u7edc\u7684\u5e42\u5f8b\u5206\u5e03\u5c1a\u672a\u6709\u5b9a\u8bba\uff0c\u4f46\u4e0d\u540c\u5b66\u8005\u591a\u5e74\u7814\u7a76\u57fa\u672c\u53ef\u4ee5\u8fbe\u6210\u4e00\u4e2a\u5171\u8bc6\uff1a<strong>\u591a\u6570\u5927\u89c4\u6a21\u7f51\u7edc\u7684\u5ea6\u5206\u5e03\u5177\u6709\u957f\u5c3e\u7279\u5f81<\/strong>\uff0c\u8fd9\u4e0e\u6570\u5b57\u4eba\u6587\u7814\u7a76\u4e2d\u7684\u8bf8\u591a\u53d1\u73b0\u4e5f\u662f\u4e00\u81f4\u7684\u3002\u5728\u5b9e\u9645\u7f51\u7edc\u5206\u6790\u4e2d\uff0c\u5e94\u201c\u7c97\u770b\u957f\u5c3e\u3001\u7ec6\u8fa8\u5e42\u5f8b\u201d\uff0c[18]\u5bf9\u4e8e\u5ea6\u5206\u5e03\u7684\u5e42\u5f8b\u68c0\u9a8c\u5e94\u8bbe\u5b9a\u7edf\u4e00\u6807\u51c6\uff0c\u529b\u6c42\u4e25\u8c28\u3002<\/p>\n\n\n\n<p><strong>\u4e8c\u3001\u7f51\u7edc\u4e2d\u5fc3\u6027<\/strong><\/p>\n\n\n\n<p>\u4e2d\u5fc3\u6027\uff08centrality\uff09\u662f\u793e\u4f1a\u7f51\u7edc\u5206\u6790\u4e2d\u5e38\u7528\u7684\u8bc4\u4ef7\u6307\u6807\uff0c\u4ece\u4e0d\u540c\u89d2\u5ea6\u523b\u753b\u4e86\u8282\u70b9\u5728\u7f51\u7edc\u4e2d\u7684\u91cd\u8981\u7a0b\u5ea6\u3002\u6570\u5b57\u4eba\u6587\u9886\u57df\u7684\u7814\u7a76\u8005\u7ecf\u5e38\u8fd0\u7528\u4e2d\u5fc3\u6027\u7684\u8ba1\u7b97\u65b9\u6cd5\uff0c\u8bc6\u522b\u7f51\u7edc\u4e2d\u7684\u4e2d\u5fc3\u4eba\u7269\/\u4eba\u7269\u5bf9\u3002\u672c\u6587\u5c06\u5e38\u7528\u7684\u4e2d\u5fc3\u5ea6\u3001\u4e2d\u4ecb\u4e2d\u5fc3\u6027\u3001\u63a5\u8fd1\u4e2d\u5fc3\u6027\u548cPageRank\u7684\u8ba1\u7b97\u65b9\u6cd5\uff0c\u7b80\u8ff0\u5982\u4e0b\u3002<\/p>\n\n\n\n<p><strong>\u2022<\/strong><strong>\u4e2d\u5fc3\u5ea6<\/strong>\uff08Degree Centrality\uff09\u3002\u5728\u65e0\u6743\u91cd\u65e0\u5411\u7684\u793e\u4f1a\u7f51\u7edc\u4e2d\uff0c\u7ed9\u5b9a\u8282\u70b9\u7684\u4e2d\u5fc3\u5ea6\u8ba1\u7b97\u4e3a\u4e0e\u8be5\u8282\u70b9\u76f8\u63a5\u7684\u8fb9\u7684\u6570\u76ee\u3002\u4e2d\u5fc3\u5ea6\u662f\u5bf9\u8282\u70b9\u91cd\u8981\u6027\u6700\u76f4\u89c2\u7684\u63cf\u8ff0\uff0c\u4f46\u6ca1\u6709\u5173\u6ce8\u8282\u70b9\u7684\u5468\u8fb9\u73af\u5883\uff08\u5982\u90bb\u63a5\u8282\u70b9\uff09\uff0c\u4e0d\u591f\u7cbe\u786e\u3002[19]<\/p>\n\n\n\n<p><strong>\u2022<\/strong><strong>\u4e2d\u4ecb\u4e2d\u5fc3\u6027<\/strong>\uff08Betweenness Centrality\uff09\u3002\u4e2d\u4ecb\u4e2d\u5fc3\u6027\u8861\u91cf\u8282\u70b9\u5728\u7f51\u7edc\u4e2d\u6240\u8d77\u5230\u7684\u5a92\u4ecb\u6216\u8005\u6865\u6881\u4f5c\u7528\uff0c\u662f\u5bf9\u8be5\u8282\u70b9\u5f71\u54cd\u529b\u7684\u8bc4\u4ef7\u6307\u6807\u3002\u4e2d\u4ecb\u4e2d\u5fc3\u6027\u8d8a\u9ad8\uff0c\u8be5\u8282\u70b9\u5bf9\u5176\u4ed6\u8282\u70b9\u4e4b\u95f4\u4fe1\u606f\u4f20\u9012\u7684\u63a7\u5236\u529b\u8d8a\u5f3a\u3002\u7ed9\u5b9a\u8282\u70b9\u7684\u4e2d\u4ecb\u4e2d\u5fc3\u6027\uff0c\u4e00\u822c\u8ba1\u7b97\u4e3a\u8be5\u8282\u70b9\u51fa\u73b0\u5728\u5176\u4ed6\u8282\u70b9\u95f4\u7684\u6700\u77ed\u8def\u5f84\u4e0a\u7684\u6982\u7387\u3002[20]<\/p>\n\n\n\n<p><strong>\u2022<\/strong><strong>\u63a5\u8fd1\u4e2d\u5fc3\u6027<\/strong>\uff08Closeness Centrality\uff09\u3002\u63a5\u8fd1\u4e2d\u5fc3\u6027\u5173\u6ce8\u7ed9\u5b9a\u8282\u70b9\u4e0e\u5176\u4ed6\u8282\u70b9\u95f4\u7684\u8ddd\u79bb\u3002\u5230\u8fbe\u5176\u4ed6\u8282\u70b9\u95f4\u7684\u8ddd\u79bb\u8d8a\u77ed\uff0c\u8be5\u8282\u70b9\u7684\u63a5\u8fd1\u4e2d\u5fc3\u6027\u8d8a\u9ad8\u3002\u7ed9\u5b9a\u8282\u70b9\u7684\u63a5\u8fd1\u4e2d\u5fc3\u6027\uff0c\u4e00\u822c\u8ba1\u7b97\u4e3a\u8be5\u8282\u70b9\u5230\u5176\u4ed6\u6240\u6709\u8282\u70b9\u6700\u77ed\u8def\u5f84\u5e73\u5747\u503c\u7684\u5012\u6570\u3002[21]<\/p>\n\n\n\n<p><strong>\u2022PageRank<\/strong>\u3002\u4e00\u4e2a\u8282\u70b9\u7684\u91cd\u8981\u7a0b\u5ea6\u4e0d\u4ec5\u4e0e\u81ea\u8eab\u6709\u5173\uff0c\u800c\u4e14\u4e0e\u5176\u90bb\u5c45\u8282\u70b9\u7684\u91cd\u8981\u7a0b\u5ea6\u76f8\u5173\u3002\u90bb\u5c45\u8282\u70b9\u5728\u7f51\u7edc\u4e2d\u7684\u8fde\u63a5\u8d8a\u591a\uff0c\u8fd9\u4e2a\u8282\u70b9\u5c31\u8d8a\u91cd\u8981\u3002\u7279\u5f81\u5411\u91cf\u4e2d\u5fc3\u6027\uff0c\u4e00\u822c\u8ba1\u7b97\u4e3a\u5bf9\u5e94\u56fe\u7684\u90bb\u63a5\u77e9\u9635\u7684\u6700\u5927\u7279\u5f81\u5411\u91cf\u503c\u3002\u57fa\u4e8e\u7279\u5f81\u5411\u91cf\u4e2d\u5fc3\u6027\u7684\u539f\u7406\uff0c\u8c37\u6b4c\u521b\u59cb\u4ebaPage\u548cBrin\u57281996\u5e74\u63d0\u51faPageRank\uff0c[22]\u7528\u4e8e\u8c37\u6b4c\u641c\u7d22\u5f15\u64ce\u6392\u5e8f\u7f51\u9875\u641c\u7d22\u7ed3\u679c\u7684\u7b97\u6cd5\u3002\u8be5\u7b97\u6cd5\u8ba4\u4e3a\u4e07\u7ef4\u7f51\u4e2d\u4e00\u4e2a\u9875\u9762\u7684\u91cd\u8981\u6027\u53d6\u51b3\u4e8e\u6307\u5411\u5b83\u7684\u5176\u4ed6\u9875\u9762\u7684\u6570\u91cf\u548c\u8d28\u91cf\u3002\u6362\u8a00\u4e4b\uff0c\u5982\u679c\u4e00\u4e2a\u7f51\u9875\u88ab\u5f88\u591a\u91cd\u8981\u7684\u7f51\u9875\u6307\u5411\uff0c\u5219\u8fd9\u4e2a\u7f51\u9875\u81ea\u8eab\u4e5f\u5f88\u91cd\u8981\u3002\u7ed9\u5b9a\u4efb\u610f\u8282\u70b9<em>t<\/em><em>i<\/em>\uff0c\u9884\u8bbe\u7f51\u7edc\u4e2d\u6709n\u4e2a\u8282\u70b9\uff08<em>t<\/em><em>1<\/em>\uff0c<em>t<\/em><em>2<\/em>\uff0c\u2026\u2026\uff0c<em>t<\/em><em>n<\/em>\uff09\u90fd\u6709\u8fb9\u6307\u5411<em>i<\/em>\uff0c\u90a3\u4e48\u91c7\u7528\u8fed\u4ee3\u7b97\u6cd5\uff0cPageRank\u53ef\u7528\u5982\u4e0b\u516c\u5f0f\u8ba1\u7b97\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"144\" src=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2023\/06\/Tu_1-12-1024x144.png\" alt=\"\" class=\"wp-image-20496\" srcset=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2023\/06\/Tu_1-12-1024x144.png 1024w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2023\/06\/Tu_1-12-300x42.png 300w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2023\/06\/Tu_1-12-768x108.png 768w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2023\/06\/Tu_1-12-18x3.png 18w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2023\/06\/Tu_1-12.png 1105w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p><em>d<\/em>\u4ee3\u8868\u963b\u5c3c\u7cfb\u6570\uff0c\u53d6\u503c\u57280\u548c1\u4e4b\u95f4\uff0c<em>C<\/em>(<em>t<\/em><em>j<\/em>)\u4ee3\u8868\u8282\u70b9<em>t<\/em><em>j<\/em>\u7684\u51fa\u5ea6\u3002\u8fd9\u4e9b\u7ecf\u5178\u7684\u7f51\u7edc\u4e2d\u5fc3\u6027\u8ba1\u7b97\u65b9\u6cd5\uff0c\u5206\u522b\u4ece\u4e0d\u540c\u7684\u89d2\u5ea6\u8861\u91cf\u4e86\u7279\u5b9a\u7f51\u7edc\u4e2d\u8282\u70b9\u7684\u91cd\u8981\u6027\u3002\u4f46\u5728\u5b9e\u9645\u7684\u6848\u4f8b\u5206\u6790\u4e2d\uff0c\u4ecd\u5b58\u5728\u7740\u4e89\u8bae\u3002<\/p>\n\n\n\n<p>1.\u4e0d\u540c\u7684\u4e2d\u5fc3\u6027\u8ba1\u7b97\u65b9\u6cd5\u5f97\u51fa\u7684\u4e2d\u5fc3\u8282\u70b9\u53ef\u80fd\u662f\u4e0d\u4e00\u81f4\u7684\uff0c\u4f8b\u5982\u7ecf\u5178\u7684\u98ce\u7b5d\u7f51\u7edc\uff08Krackhardt Kite Graph\uff09\uff08\u5982\u56fe1\u6240\u793a\uff09\uff0c\u4e2d\u5fc3\u5ea6\u6570\u503c\u6700\u9ad8\u7684\u662f\u8282\u70b9A\uff0c\u4e2d\u4ecb\u4e2d\u5fc3\u6027\u6700\u9ad8\u7684\u662f\u8282\u70b9D\uff0c\u63a5\u8fd1\u4e2d\u5fc3\u6027\u6700\u9ad8\u7684\u662f\u8282\u70b9B\u548cC\u3002\u4e2d\u5fc3\u5ea6\u76f8\u540c\u7684\u8282\u70b9\uff0c\u672a\u5fc5\u5728\u7f51\u7edc\u4e2d\u62e5\u6709\u540c\u6837\u91cd\u8981\u7684\u5730\u4f4d\uff1b\u5176\u6b21\uff0c\u5728\u5b9e\u9645\u7f51\u7edc\u4e2d\uff0c\u4fe1\u606f\u6709\u65f6\u5019\u5e76\u975e\u6cbf\u7740\u6700\u77ed\u8def\u5f84\u6d41\u52a8\uff0c\u800c\u662f\u6309\u610f\u613f\u968f\u673a\u6d41\u52a8\uff0c\u56e0\u800c\u5728\u8fd9\u4e9b\u7f51\u7edc\u4e2d\uff0c\u4e2d\u4ecb\u4e2d\u5fc3\u6027\u5e76\u4e0d\u9002\u7528\uff1b\u518d\u8005\uff0c\u63a5\u8fd1\u4e2d\u5fc3\u6027\u4e0e\u4e2d\u5fc3\u5ea6\u9ad8\u5ea6\u76f8\u5173\uff0c\u4ec5\u9002\u5408\u4e8e\u661f\u578b\u7f51\u7edc\uff0c\u5e76\u4e0d\u9002\u5408\u6b63\u5219\u56fe\u6216\u8005\u968f\u673a\u7f51\u7edc\u3002\u8fc4\u4eca\u4e3a\u6b62\uff0c\u5c1a\u672a\u6709\u7edf\u4e00\u7684\u6807\u51c6\u5bf9\u5404\u79cd\u8ba1\u7b97\u65b9\u6cd5\u5f00\u5c55\u6d4b\u8bc4\uff0c\u5982\u4f55\u5ba2\u89c2\u51c6\u786e\u5730\u8bc4\u4f30\u7b97\u6cd5\u4f18\u52a3\u4ecd\u4e3a\u4e00\u5927\u6311\u6218\u3002\u76ee\u524d\u8f83\u5e38\u7528\u7684\u65b9\u6cd5\u6709\u5229\u7528\u8282\u70b9\u6392\u5e8f\u7684\u76f8\u5173\u6027\u3001\u7f51\u7edc\u7684\u9c81\u68d2\u6027\uff08robustness\uff09\u3001\u4f20\u64ad\u52a8\u529b\u5b66\u6a21\u578b\u7b49\u8bc4\u4ef7\u6392\u5e8f\u7b97\u6cd5\u3002\u4f46\u5728\u8003\u8651\u5404\u79cd\u4e2d\u5fc3\u6027\u7b97\u6cd5\u7ed3\u679c\u4e0d\u4e00\u81f4\u7684\u524d\u63d0\u4e0b\uff0c\u662f\u5426\u53ef\u4ee5\u5229\u7528\u591a\u79cd\u65b9\u6cd5\u8fdb\u884c\u7efc\u5408\u8bc4\u4ef7\uff0c\u5f97\u51fa\u6700\u4f18\u89e3\u3002\u6bd4\u5982\u9009\u53d6\u591a\u79cd\u8ba1\u7b97\u65b9\u6cd5\u5ea6\u91cf\u7f51\u7edc\u8282\u70b9\u7684\u91cd\u8981\u6027\uff0c\u5bf9\u83b7\u5f97\u7684\u6570\u503c\u6807\u51c6\u5316\uff0c\u8d4b\u4e88\u4e0d\u540c\u7684\u6743\u91cd\uff0c\u5f62\u6210\u6700\u7ec8\u7684\u6392\u5e8f\uff1b\u53c8\u6216\u8005\u4f7f\u7528\u771f\u5b9e\u7684\u5927\u89c4\u6a21\u590d\u6742\u7f51\u7edc\u6765\u9a8c\u8bc1\u7b97\u6cd5\u5f97\u51fa\u7684\u91cd\u8981\u8282\u70b9\u7684\u771f\u5b9e\u5f71\u54cd\u529b\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"458\" src=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2023\/06\/Tu_2-12-1024x458.png\" alt=\"\" class=\"wp-image-20497\" srcset=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2023\/06\/Tu_2-12-1024x458.png 1024w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2023\/06\/Tu_2-12-300x134.png 300w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2023\/06\/Tu_2-12-768x343.png 768w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2023\/06\/Tu_2-12-18x8.png 18w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2023\/06\/Tu_2-12.png 1125w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p class=\"has-text-align-center\">\u56fe1 \u98ce\u7b5d\u7f51\u7edc\uff08Krackhardt Kite Graph\uff09\u793a\u4f8b<\/p>\n\n\n\n<p>2.\u4e2d\u5fc3\u6027\u5f80\u5f80\u805a\u7126\u4e8e\u5bf9\u7f51\u7edc\u4e2d\uff08\u6700\uff09\u91cd\u8981\u8282\u70b9\u7684\u5ea6\u91cf\uff0c\u4f46\u5bf9\u5176\u4ed6\u8282\u70b9\u7684\u8bc4\u4f30\u7ed3\u679c\u5e76\u4e0d\u4e00\u5b9a\u53ef\u9760\uff0c\u5982\u7f51\u9875\u641c\u7d22\u5e38\u7528\u7684PageRank\u7b97\u6cd5\uff0c\u5f80\u5f80\u53ea\u80fd\u4fdd\u8bc1\u524d\u51e0\u4e2a\u9875\u9762\u6392\u5e8f\u7684\u51c6\u786e\u3002[23]\u5173\u4e8e\u5982\u4f55\u8861\u91cf\u7f51\u7edc\u4e2d\u4e0d\u540c\u7b49\u7ea7\u8282\u70b9\u7684\u91cd\u8981\u6027\uff0cKitsak\u7b49\u4eba\u63d0\u51fa\u7528k-shell\u5206\u89e3\u6cd5\uff08k-shell decomposition\uff09\uff0c\u6839\u636e\u8282\u70b9\u7684\u4e2d\u5fc3\u5ea6\u6570\u503c\uff0c\u5c06\u8282\u70b9\u5206\u79bb\u6210\u591a\u5c42\u3002\u5206\u89e3\u8fc7\u7a0b\u7b80\u8ff0\u5982\u4e0b[24]\uff1a\u9884\u8bbe\u7f51\u7edc\u4e2d\u65e0\u8fde\u63a5\u7684\u5b64\u7acb\u8282\u70b9\u5df2\u8fc7\u6ee4\u6389\uff1b\u5148\u5c06\u5ea6\u503c\u4e3a1\u7684\u8282\u70b9\u53ca\u5176\u6240\u90bb\u63a5\u7684\u8fb9\u53bb\u9664\uff0c\u4e4b\u540e\u518d\u5c06\u7f51\u7edc\u4e2d\u65b0\u51fa\u73b0\u7684\u5ea6\u503c\u4e3a1\u7684\u8282\u70b9\u5220\u9664\uff0c\u91cd\u590d\u4e0a\u8ff0\u64cd\u4f5c\uff0c\u76f4\u81f3\u7f51\u7edc\u4e2d\u4e0d\u518d\u6709\u5ea6\u503c\u4e3a1\u7684\u8282\u70b9\u3002\u6240\u6709\u5df2\u88ab\u5220\u9664\u7684\u8282\u70b9\u548c\u5b83\u4eec\u6240\u90bb\u63a5\u7684\u8fb9\u7ec4\u6210\u7b2c\u4e00\u5c42\uff0c\u79f0\u4e3a1-shell 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Detection\uff0c\u4e5f\u8bd1\u4e3a\u793e\u533a\u68c0\u6d4b\uff09\u65e8\u5728\u4ece\u7ed9\u5b9a\u7f51\u7edc\u4e2d\u627e\u51fa\u793e\u533a\u7ed3\u6784\uff0c\u51c6\u786e\u5730\u7406\u89e3\u590d\u6742\u7cfb\u7edf\u7684\u7ec4\u7ec7\u539f\u5219\u3001\u62d3\u6251\u7ed3\u6784\u4e0e\u52a8\u529b\u5b66\u7279\u6027\u3002[29]<\/p>\n\n\n\n<p>\u6839\u636e\u7f51\u7edc\u4e2d\u4e0d\u540c\u793e\u533a\u8282\u70b9\u7684\u91cd\u53e0\u7a0b\u5ea6\uff0c\u53ef\u5c06\u793e\u533a\u5212\u5206\u4e3a\u91cd\u53e0\u793e\u533a\uff08Overlapping Community\uff09\u548c\u975e\u91cd\u53e0\u793e\u533a\uff08Disjoint Community\uff09\u3002\u975e\u91cd\u53e0\u793e\u533a\uff0c\u5373\u7f51\u7edc\u4e2d\u6bcf\u4e2a\u8282\u70b9\u4ec5\u5c5e\u4e8e\u4e00\u4e2a\u793e\u533a\uff0c\u793e\u533a\u4e4b\u95f4\u6ca1\u6709\u4ea4\u96c6\u3002\u5927\u90e8\u5206\u793e\u533a\u53d1\u73b0\u7684\u7ecf\u5178\u7b97\u6cd5\u90fd\u662f\u9762\u5411\u975e\u91cd\u53e0\u793e\u533a\u63d0\u51fa\u7684\uff0c\u5728\u6570\u5b57\u4eba\u6587\u9886\u57df\u5e94\u7528\u8f83\u591a\u7684\u4e3a\u57fa\u4e8e\u6a21\u5757\u5ea6\u7684\u7b97\u6cd5\uff0c\u7b80\u8ff0\u5982\u4e0b\u3002<\/p>\n\n\n\n<p><strong>\u6a21\u5757\u5ea6 <\/strong>\u6a21\u5757\u5ea6\uff08Modularity\uff09\u662fNewman\u4e8e2004\u5e74[29]\u63d0\u51fa\u7684\uff0c2006\u5e74\u6539\u8fdb\u4e86\u8ba1\u7b97\u516c\u5f0f[31]\u5e76\u6269\u5927\u4e86\u9002\u7528\u8303\u56f4\u3002\u6a21\u5757\u5ea6\u4e0d\u4ec5\u662f\u5927\u91cf\u793e\u533a\u53d1\u73b0\u7684\u7b97\u6cd5\u57fa\u7840\uff0c\u73b0\u4e5f\u6210\u4e3a\u8bc4\u4ef7\u793e\u533a\u68c0\u6d4b\u7684\u4e00\u79cd\u5e38\u7528\u91cf\u5316\u6307\u6807\u3002\u6a21\u5757\u5ea6\u7684\u4e3b\u8981\u601d\u60f3\u4e3a\u793e\u533a\u5185\u90e8\u8fb9\u6570\u5360\u603b\u8fb9\u6570\u7684\u6bd4\u503c\u5e94\u5927\u4e8e\u968f\u673a\u60c5\u51b5\u4e0b\u8be5\u6bd4\u503c\u7684\u671f\u671b\u503c\u3002\u5b9e\u9645\u793e\u533a\u5185\u90e8\u8fb9\u6570\u4e0e\u671f\u671b\u503c\u7684\u5dee\u8d8a\u5927\uff0c\u8bf4\u660e\u8be5\u7f51\u7edc\u4e0e\u968f\u673a\u7f51\u7edc\u7684\u5dee\u5f02\u8d8a\u5927\uff0c\u6362\u8a00\u4e4b\uff0c\u8be5\u7f51\u7edc\u7684\u793e\u533a\u7ed3\u6784\u8d8a\u660e\u663e\u3002\u6a21\u5757\u5ea6\u7684\u6570\u503c\u8303\u56f4\u57280\u52301\u4e4b\u95f4\uff0c\u901a\u5e38\u8ba4\u4e3a\u503c\u8d8a\u5927\uff0c\u793e\u533a\u53d1\u73b0\u7684\u7b97\u6cd5\u6548\u679c\u8d8a\u597d\uff0c\u5212\u5206\u8d8a\u5408\u7406\u3002\u4f46\u771f\u5b9e\u7f51\u7edc\u4e2d\u7684\u6a21\u5757\u5ea6\u4e00\u822c\u53d6\u503c\u57280.3\u52300.7\u4e4b\u95f4\u3002<\/p>\n\n\n\n<p>\u867d\u7136\u793e\u533a\u53d1\u73b0\u7684\u7ecf\u5178\u7b97\u6cd5\u5927\u591a\u662f\u56f4\u7ed5\u975e\u91cd\u53e0\u793e\u533a\u5c55\u5f00\u7684\uff0c\u4f46\u73b0\u5b9e\u4e16\u754c\u7684\u590d\u6742\u7f51\u7edc\u4e2d\uff0c\u5176\u5b9e\u5927\u90e8\u5206\u7684\u8282\u70b9\u5b58\u5728\u540c\u65f6\u4ece\u5c5e\u4e8e\u591a\u4e2a\u793e\u533a\u7684\u60c5\u51b5\uff0c\u6bd4\u5982\u793e\u4f1a\u7f51\u7edc\u4e2d\u7684\u4e00\u4e2a\u4eba\u53ef\u80fd\u540c\u65f6\u5c5e\u4e8e\u591a\u4e2a\u4ea4\u9645\u5708\uff08\u4eb2\u53cb\u5708\u3001\u5de5\u4f5c\u5708\u3001\u5b66\u4e60\u5708\u7b49\uff09\uff0c\u6362\u8a00\u4e4b\uff0c\u8fd9\u4e9b\u7f51\u7edc\u662f\u7531\u91cd\u53e0\u793e\u533a\u6784\u6210\u7684\u3002\u4e0e\u6b64\u540c\u65f6\uff0c\u7f51\u7edc\u4e2d\u4e5f\u5b58\u5728\u7740\u4e00\u90e8\u5206\u8282\u70b9\uff0c\u4e0d\u5c5e\u4e8e\u4efb\u4f55\u7684\u793e\u533a\u3002\u8fd9\u4e9b\u5b64\u7acb\u7684\u8282\u70b9\u8be5\u5982\u4f55\u8003\u91cf\uff0c\u662f\u5426\u5e94\u8be5\u770b\u6210\u5355\u4e2a\u8282\u70b9\u7ec4\u6210\u7684\u82e5\u5e72\u793e\u533a\u3002\u8fd9\u65f6\u5c31\u53ef\u4ee5\u9009\u53d6\u51dd\u805a\u5b50\u7fa4\u7684\u8ba1\u7b97\u65b9\u6cd5\uff0c\u6765\u5e2e\u52a9\u7814\u7a76\u8005\u53d1\u73b0\u4e0d\u540c\u793e\u533a\u5171\u6709\u7684\u8282\u70b9\u548c\u7f51\u7edc\u4e2d\u7684\u5b64\u7acb\u8282\u70b9\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"322\" src=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2023\/06\/Tu_3-12-1024x322.png\" alt=\"\" class=\"wp-image-20498\" srcset=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2023\/06\/Tu_3-12-1024x322.png 1024w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2023\/06\/Tu_3-12-300x94.png 300w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2023\/06\/Tu_3-12-768x241.png 768w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2023\/06\/Tu_3-12-18x6.png 18w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2023\/06\/Tu_3-12.png 1449w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p class=\"has-text-align-center\">\u56fe2 \u51dd\u805a\u5b50\u7fa4\uff08Cohesive Subgroup\uff09\u793a\u4f8b<\/p>\n\n\n\n<p><strong>\u51dd\u805a\u5b50\u7fa4<\/strong> \u5728\u793e\u4f1a\u7f51\u7edc\u9886\u57df\uff0c\u51dd\u805a\u5b50\u7fa4\uff08Cohesive Subgroup\uff09\u53ef\u5b9a\u4e49\u4e3a\u7f51\u7edc\u4e2d\u8054\u7cfb\u9891\u7e41\u3001\u5f3a\u70c8\u800c\u76f4\u63a5\u7684\u8282\u70b9\u5b50\u96c6\uff0c[32]\u800c\u5206\u6790\u7f51\u7edc\u4e2d\u5b58\u5728\u591a\u5c11\u8fd9\u6837\u7684\u5b50\u7fa4\u3001\u5b50\u7fa4\u4e4b\u95f4\u7684\u5173\u7cfb\u3001\u5b50\u7fa4\u5185\u90e8\u8282\u70b9\u95f4\u7684\u5173\u7cfb\u7b49\uff0c\u662f\u51dd\u805a\u5b50\u7fa4\u5206\u6790\u7684\u4e3b\u8981\u4efb\u52a1\u3002[33]\u7ecf\u5178\u7684\u8ba1\u7b97\u65b9\u6cd5\u6709\u5c0f\u56e2\u4f53\uff08clique\uff09\u3001K-\u4e1b\uff08K-plex\uff09\u3001K-\u6838\uff08K-core\uff09\u7b49\u3002\u5c0f\u56e2\u4f53[34]\u6307\u4ee3\u65e0\u5411\u7f51\u7edc\u4e2d\u7684\u6700\u5927\u5b8c\u5168\u5b50\u56fe\uff0c\u5b50\u56fe\u5185\u90e8\u8282\u70b9\u4e4b\u95f4\u90fd\u6709\u8fb9\u76f8\u8fde\u3002\u5982\u56fe2\uff08a\uff09\u6240\u793a\uff0c{2\uff0c3\uff0c4\uff0c5}\u548c{1\uff0c2\uff0c3}\u662f\u4e24\u4e2a\u5c0f\u56e2\u4f53\uff0c\u8fd9\u4e24\u4e2a\u5c0f\u56e2\u4f53\u5c31\u5b58\u5728\u90e8\u5206\u8282\u70b9\uff082\u548c3\uff09\u7684\u91cd\u53e0\u3002K-\u4e1b\u662f\u6307\u7ed9\u5b9a\u5305\u542bn\u4e2a\u8282\u70b9\u7684\u5b50\u7fa4\u5185\uff0c\u6bcf\u4e2a\u8282\u70b9\u81f3\u5c11\u4e0e\u5176\u4f59n-k\u4e2a\u8282\u70b9\u76f8\u8fde\uff0c\u5373\u6bcf\u4e2a\u8282\u70b9\u7684\u5ea6\u6570\u81f3\u5c11\u4e3an-k\u3002\u5982\u56fe2\uff08b\uff09\u6240\u793a\uff0c{3\uff0c4\uff0c5\uff0c6}\u662f\u4e00\u4e2a1\u4e1b\uff0c{1\uff0c3\uff0c4\uff0c5\uff0c6}\u662f\u4e00\u4e2a2\u4e1b\uff0c{1\uff0c2\uff0c3\uff0c4\uff0c5\uff0c6}\u662f\u4e00\u4e2a3\u4e1b\u3002K-\u6838\uff0c[35]\u662f\u6307\u65e0\u5411\u7f51\u7edc\u4e2d\u7684\u6700\u5927\u5bfc\u51fa\u5b50\u56fe\uff0c\u8be5\u5b50\u56fe\u5185\u90e8\u8282\u70b9\u7684\u5ea6\u4e0d\u5c0f\u4e8e\u6570\u503ck\u3002\u5982\u56fe2\uff08c\uff09\u6240\u793a\uff0c\u9ed1\u8272\u8282\u70b9\u5c42\u5c5e\u4e8e\u8be5\u56fe\u76840\u6838\uff0c\u4e3a\u6ca1\u6709\u8fde\u63a5\u7684\u5b64\u7acb\u8282\u70b9\u96c6\u5408\uff1b1\u6838\u5c31\u662f\u53bb\u6389\u5b64\u7acb\u8282\u70b9\u5c42\u7684\u5b50\u56fe\uff0c\u7ea2\u8272\u8282\u70b9\u5c42\u4e3a3\u6838\u3002\u8be5\u7b97\u6cd5\u7684\u8ba1\u7b97\u590d\u6742\u5ea6\u5c0f\uff0c\u5e38\u7528\u4e8e\u53d1\u73b0\u7f51\u7edc\u4e2d\u7684\u793e\u533a\u7ed3\u6784\u3002<\/p>\n\n\n\n<p>\u9664\u4e86\u4e0a\u8ff0\u7b80\u4ecb\u7684\u793e\u533a\u53d1\u73b0\u7b97\u6cd5\uff0c\u76ee\u524d\u7f51\u7edc\u79d1\u5b66\u9886\u57df\u5df2\u6d8c\u73b0\u51fa\u5927\u91cf\u7684\u793e\u533a\u53d1\u73b0\u7b97\u6cd5\uff0c\u5982Edge Betweenness\u3001Random Walk\u3001Infomap\u7b49\uff0c\u90a3\u4e48\u5982\u4f55\u5ba2\u89c2\u5730\u8861\u91cf\u793e\u533a\u53d1\u73b0\u7684\u4f18\u52a3\u5ea6\u5df2\u6210\u4e3a\u793e\u533a\u53d1\u73b0\u9886\u57df\u6240\u9762\u4e34\u7684\u4e00\u4e2a\u4e3b\u8981\u95ee\u9898\u3002[36]\u76ee\u524d\u5c1a\u672a\u6709\u7edf\u4e00\u7684\u6807\u51c6\u53bb\u8bc4\u4f30\u6216\u6bd4\u8f83\u4e0d\u540c\u793e\u533a\u53d1\u73b0\u7684\u7b97\u6cd5\u6548\u679c\uff0c\u6bd4\u8f83\u5e38\u7528\u7684\u8bc4\u4ef7\u6307\u6807\u6709\u6807\u51c6\u5316\u4e92\u4fe1\u606f\u3001\u6a21\u5757\u5ea6\u548cLRF\u6307\u6807\uff08\u6a21\u5757\u5ea6\u5df2\u5728\u4e0a\u6587\u4e2d\u4ecb\u7ecd\uff0c\u6b64\u5904\u4e0d\u518d\u8d58\u8ff0\uff09\u3002<\/p>\n\n\n\n<p>1.\u5df2\u77e5\u771f\u5b9e\u793e\u533a\u7684\u5212\u5206\u60c5\u51b5<\/p>\n\n\n\n<p>\u6807\u51c6\u5316\u4e92\u4fe1\u606f\uff08Normalized Mutual Information, NMI\uff09[37]\u5e38\u7528\u4e8e\u805a\u7c7b\u4efb\u52a1\u4e2d\uff0c\u5ea6\u91cf\u4e24\u79cd\u5b9e\u9a8c\u7ed3\u679c\u7684\u5dee\u5f02\u7a0b\u5ea6\uff0c\u540e\u62d3\u5c55\u5230\u793e\u533a\u53d1\u73b0\u9886\u57df\uff0c\u8bc4\u4f30\u5b9e\u9a8c\u7ed3\u679c\u4e0e\u771f\u5b9e\u5212\u5206\u4e4b\u95f4\u7684\u5dee\u5f02\u6027\u3002NMI\u662f\u57fa\u4e8e\u6df7\u6dc6\u77e9\u9635\u800c\u5b9a\u4e49\u7684\uff0c\u5177\u4f53\u8ba1\u7b97\u65b9\u6cd5\u7b80\u8ff0\u5982\u4e0b\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"758\" height=\"207\" src=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2023\/06\/Tu_4-10.png\" alt=\"\" class=\"wp-image-20499\" srcset=\"https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2023\/06\/Tu_4-10.png 758w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2023\/06\/Tu_4-10-300x82.png 300w, https:\/\/achieve.dhcn.cn\/wp-content\/uploads\/2023\/06\/Tu_4-10-18x5.png 18w\" sizes=\"auto, (max-width: 758px) 100vw, 758px\" \/><\/figure>\n\n\n\n<p>N\u6307\u4ee3\u6df7\u6dc6\u77e9\u9635\uff0c\u8be5\u77e9\u9635\u7684\u884c\u5bf9\u5e94\u771f\u5b9e\u7684\u793e\u533a\uff0c\u6570\u76ee\u4e3a<em>C<\/em><em>A<\/em>\uff0c\u5217\u5bf9\u5e94\u4e8e\u793e\u533a\u53d1\u73b0\u7684\u7b97\u6cd5\u68c0\u6d4b\u5230\u7684\u793e\u533a\uff0c\u6570\u76ee\u4e3a<em>C<\/em><em>B<\/em>\u3002<em>N<\/em><em>i<\/em><em>.<\/em>\u8868\u793a\u77e9\u9635<em>N<\/em>\u4e2d\u7b2c<em>i<\/em>\u884c\u7684\u548c\uff0c<em>N.<\/em><em>j<\/em>\u8868\u793a\u77e9\u9635<em>N<\/em>\u4e2d\u7b2c<em>j<\/em>\u5217\u7684\u548c\u3002I(A,B)\u7684\u6570\u503c\u57280\u52301\u4e4b\u95f4\uff0c\u82e5\u68c0\u6d4b\u5230\u7684\u793e\u533a\u4e0e\u771f\u5b9e\u793e\u533a\u4e00\u81f4\uff0cI(A,B)=1\uff1b\u82e5\u5b8c\u5168\u4e0d\u540c\uff0cI(A,B)=0\u3002\u6570\u503c\u8d8a\u5927\uff0c\u8bf4\u660e\u8be5\u7b97\u6cd5\u7684\u5212\u5206\u7ed3\u679c\u8d8a\u51c6\u786e\u3002<\/p>\n\n\n\n<p>2.\u672a\u77e5\u771f\u5b9e\u793e\u533a\u7684\u5212\u5206\u60c5\u51b5<\/p>\n\n\n\n<p>\u73b0\u5b9e\u751f\u6d3b\u7684\u590d\u6742\u7f51\u7edc\uff0c\u7531\u4e8e\u7c7b\u578b\u4f17\u591a\uff0c\u5f88\u96be\u638c\u63e1\u5176\u5185\u90e8\u7684\u793e\u533a\u5212\u5206\uff0c\u8003\u8651\u5230\u6807\u6ce8\u6570\u636e\u7684\u89c4\u6a21\u9650\u5236\u6027\uff0c\u82e5\u80fd\u751f\u6210\u6a21\u62df\u771f\u5b9e\u7f51\u7edc\u7684\u4eba\u5de5\u7f51\u7edc\uff0c\u5373\u53ef\u6d4b\u8bc4\u793e\u533a\u68c0\u6d4b\u7b97\u6cd5\u7684\u6709\u6548\u6027\uff0c\u6bd4\u8f83\u4e0d\u540c\u7b97\u6cd5\u7684\u4f18\u52a3\u7a0b\u5ea6\u3002Lancichinetti\u7b49\u4eba\u57fa\u4e8eGirvan\u548cNewman\u7684GN\u57fa\u51c6\uff0c\u63d0\u51faLFR\u57fa\u51c6\uff08Lancichinetti\u2013Fortunato\u2013Radicchi benchmark\uff09\uff0c[38]\u5728\u751f\u6210\u968f\u673a\u7f51\u7edc\u7684\u540c\u65f6\uff0c\u4fdd\u8bc1\u4e86\u73b0\u5b9e\u7f51\u7edc\u4e2d\u7684\u5ea6\u5206\u5e03\u548c\u793e\u533a\u5206\u5e03\u89c4\u6a21\u7684\u4e0d\u5747\u8861\u6027\u3002\u8be5\u57fa\u51c6\u7b80\u8ff0\u5982\u4e0b\uff1a<\/p>\n\n\n\n<p>\uff081\uff09\u7f51\u7edc\u4e2d\u7684\u8282\u70b9\u670d\u4ece\u6307\u6570\u4e3a\u03b3\u7684\u5e42\u5f8b\u5206\u5e03\uff0c\u5ea6\u503c\u6700\u5c0f\u8bbe\u4e3a<em>k<\/em><em>min<\/em>\uff0c\u6700\u5927\u8bbe\u4e3a<em>k<\/em><em>max<\/em>\uff0c\u4fdd\u8bc1\u5e73\u5747\u5ea6\u4e3a&lt;<em>k<\/em>&gt;\u3002\u4f7f\u7528\u914d\u7f6e\u6a21\u578b\u751f\u6210\u7ed9\u5b9a\u5ea6\u5206\u5e03\u4e0b\u7684\u968f\u673a\u7f51\u7edc\u3002<\/p>\n\n\n\n<p>\uff082\uff09\u8bbe\u7f6e\u6df7\u5408\u7cfb\u6570<em>\u00b5<\/em>\uff0c\u4f7f\u5f97\u6bcf\u4e2a\u8282\u70b9\u548c\u6240\u5728\u793e\u533a\u5360\u6bd4\u4e3a1-<em>\u00b5<\/em>\u7684\u5176\u4f59\u8282\u70b9\u76f8\u8fde\uff0c\u5e76\u4e0e\u793e\u533a\u5916\u7f51\u7edc\u4e2d\u5360\u6bd4\u4e3a<em>\u00b5<\/em>\u7684\u8282\u70b9\u76f8\u8fde\u3002<\/p>\n\n\n\n<p>\uff083\uff09\u793e\u533a\u7684\u89c4\u6a21\u670d\u4ece\u6307\u6570\u4e3a\u03b2\u7684\u5e42\u5f8b\u5206\u5e03\uff0c\u793e\u533a\u89c4\u6a21\u6700\u5c0f\u8bbe\u4e3a<em>s<\/em><em>min<\/em>\uff0c\u6700\u5927\u8bbe\u4e3a<em>s<\/em><em>max<\/em>\uff0c\u4ee4<em>s<\/em><em>min<\/em>&gt;<em>k<\/em><em>min<\/em>\u4e14<em>s<\/em><em>max<\/em>&gt;<em>k<\/em><em>max<\/em>\uff0c\u4fdd\u8bc1\u6bcf\u4e2a\u8282\u70b9\u90fd\u80fd\u5212\u5206\u5165\u81f3\u5c11\u4e00\u4e2a\u793e\u533a\u3002<\/p>\n\n\n\n<p>\uff084\uff09\u8d77\u521d\uff0c\u6240\u6709\u8282\u70b9\u672a\u88ab\u5206\u914d\u793e\u533a\u3002\u7b2c\u4e00\u6b21\u8fed\u4ee3\u65f6\uff0c\u6bcf\u4e2a\u8282\u70b9\u88ab\u968f\u673a\u5206\u914d\u793e\u533a\uff1b\u5982\u679c\u4e00\u4e2a\u793e\u533a\u7684\u89c4\u6a21\u8d85\u8fc7\u8be5\u8282\u70b9\u7684\u793e\u533a\u5185\u90e8\u8fde\u63a5\u5ea6\uff0c\u8be5\u8282\u70b9\u52a0\u5165\u8be5\u793e\u533a\uff0c\u5426\u5219\u4e0d\u52a0\u5165\u3002\u6b64\u8fc7\u7a0b\u4e0d\u65ad\u91cd\u590d\u76f4\u5230\u6240\u6709\u8282\u70b9\u90fd\u8fdb\u5165\u793e\u533a\u3002<\/p>\n\n\n\n<p>\uff085\uff09\u4e3a\u4e86\u786e\u4fdd\u793e\u533a\u5185\u90e8\u8282\u70b9\u7684\u8fde\u63a5\u6ee1\u8db3\u6df7\u5408\u7cfb\u6570<em>\u00b5<\/em>\uff0c\u9700\u904d\u5386\u6bcf\u4e2a\u8282\u70b9\uff0c\u5bf9\u4e0d\u6ee1\u8db3\u6761\u4ef6\u7684\u8282\u70b9\u8fdb\u884c\u8c03\u6574\u3002<\/p>\n\n\n\n<p>\u5728\u6b64\u57fa\u7840\u4e0a\uff0c\u518d\u7ed3\u5408\u6807\u51c6\u5316\u4e92\u4fe1\u606fNMI\u5bf9\u793e\u533a\u53d1\u73b0\u7b97\u6cd5\u7684\u6709\u6548\u6027\u5f00\u5c55\u8bc4\u4f30\u3002\u4e92\u4fe1\u606f\u503c\u4e3a1\uff0c\u8bf4\u660e\u68c0\u6d4b\u5230\u7684\u793e\u533a\u4e0e\u57fa\u51c6\u793e\u533a\u5b8c\u5168\u4e00\u81f4\uff1b\u4e92\u4fe1\u606f\u503c\u4e3a0\uff0c\u8bf4\u660e\u4e8c\u8005\u5b8c\u5168\u4e0d\u540c\u3002<\/p>\n\n\n\n<p><strong>\u7ed3 \u8bba<\/strong><\/p>\n\n\n\n<p>\u793e\u4f1a\u7f51\u7edc\u5206\u6790\u6253\u7834\u4e86\u4f20\u7edf\u7684\u5b66\u79d1\u754c\u9650\uff0c\u5c06\u793e\u4f1a\u79d1\u5b66\uff08\u5982\u793e\u4f1a\u5b66\u3001\u5fc3\u7406\u5b66\u3001\u65b0\u95fb\u5b66\u7b49\uff09\u3001\u81ea\u7136\u79d1\u5b66\uff08\u6570\u5b66\u3001\u751f\u7269\u3001\u7269\u7406\u7b49\uff09\u548c\u4eba\u6587\u5b66\u79d1\uff08\u5982\u827a\u672f\u5b66\u3001\u6587\u5b66\u3001\u8bed\u8a00\u5b66\u3001\u5386\u53f2\u5b66\u7b49\uff09\u7b49\u8bf8\u591a\u9886\u57df\u7684\u5b66\u8005\u6c47\u805a\u5230\u4e00\u8d77\uff0c\u5171\u540c\u63a2\u7d22\u590d\u6742\u7cfb\u7edf\u5185\u90e8\u7684\u7f51\u7edc\u7279\u6027\u3002\u8fd9\u79cd\u8de8\u5b66\u79d1\u7684\u878d\u5408\uff0c\u4f1a\u62d3\u5bbd\u89c6\u91ce\u3001\u521b\u65b0\u89c1\u89e3\uff0c\u4fc3\u8fdb\u77e5\u8bc6\u7684\u66f4\u65b0\u4e0e\u53d1\u5c55\u3002\u5728\u4eba\u6587\u7814\u7a76\u4e2d\uff0c\u5b66\u8005\u4eec\u5df2\u7ecf\u4ece\u6587\u672c\u3001\u56fe\u50cf\u3001\u97f3\u9891\u7b49\u5927\u89c4\u6a21\u6570\u636e\u4e2d\uff0c\u62bd\u53d6\u5173\u7cfb\u6570\u636e\u6784\u5efa\u590d\u6742\u7f51\u7edc\uff0c\u7f51\u7edc\u4e2d\u7684\u8282\u70b9\u4ee3\u8868\u5404\u79cd\u5b9e\u4f53\uff0c\u8fb9\u4ee3\u8868\u5b9e\u4f53\u95f4\u7684\u5173\u7cfb\u3002\u8282\u70b9\u548c\u8fb9\u5747\u53ef\u9644\u52a0\u5c5e\u6027\uff0c\u5982\u4e0e\u8282\u70b9\u76f8\u5173\u7684\u5730\u70b9\u3001\u65f6\u95f4\u7b49\u4fe1\u606f\u53ef\u4f5c\u4e3a\u8282\u70b9\u5c5e\u6027\uff0c\u8282\u70b9\u4e4b\u95f4\u7684\u7d27\u5bc6\u7a0b\u5ea6\u53ef\u91cf\u5316\u4e3a\u8fb9\u5c5e\u6027\uff0c\u800c\u8fb9\u7684\u65b9\u5411\u6027\u5219\u8bf4\u660e\u4e86\u4fe1\u606f\u7684\u4f20\u64ad\u6307\u5411\u3002\u8fd9\u79cd\u7f51\u7edc\u5efa\u6a21\u7684\u601d\u60f3\uff0c\u53ef\u4ee5\u5e2e\u52a9\u5b66\u8005\u5c06\u6563\u843d\u5728\u591a\u5f20\u8868\u3001\u591a\u4e2a\u5e93\u4e2d\u7684\u6570\u636e\u8fde\u63a5\u8d77\u6765\u5e76\u4e88\u4ee5\u6574\u5408\uff0c\u4ee5\u4e00\u79cd\u5168\u5c40\u7684\u601d\u60f3\u89c2\u5bdf\u5e76\u5206\u6790\u5b9e\u4f53\u5173\u7cfb\u548c\u793e\u4f1a\u884c\u4e3a\u7684\u9884\u8bbe\u6a21\u5f0f\u4e0e\u89c4\u5219\u3002\u7f8e\u4e2d\u4e0d\u8db3\u7684\u662f\uff0c\u5f88\u591a\u7814\u7a76\u4ee5\u753b\u51fa\u6f02\u4eae\u7684\u7f51\u7edc\u56fe\u4e3a\u76ee\u7684\uff0c\u6b62\u6b65\u4e8e\u201c\u53ef\u89c6\u5316\u201d\uff0c[39]\u5bf9\u7f51\u7edc\u7684\u6df1\u5c42\u63a2\u7d22\u5c1a\u4e3a\u6570\u4e0d\u591a\u3002\u672c\u6587\u805a\u7126\u4e8e\u65e0\u6807\u5ea6\u7f51\u7edc\u7279\u6027\u3001\u4e2d\u5fc3\u6027\u5ea6\u91cf\u53ca\u793e\u533a\u53d1\u73b0\u4e0e\u8bc4\u4f30\u8fd9\u4e09\u65b9\u9762\uff0c\u9488\u5bf9\u5177\u4f53\u5b9e\u65bd\u4e2d\u7684\u96be\u70b9\uff0c\u63d0\u51fa\u53ef\u884c\u7684\u89e3\u51b3\u65b9\u6848\uff0c\u4e3a\u4eba\u6587\u5b66\u8005\u5728\u793e\u4f1a\u7f51\u7edc\u5206\u6790\u7684\u5b9e\u9645\u5e94\u7528\u4e2d\u63d0\u4f9b\u53c2\u8003\u3002<\/p>\n\n\n\n<p><strong>Some Thoughts on Social Network Analysis and its Use Cases in Humanities<\/strong><\/p>\n\n\n\n<p>Li Hui<\/p>\n\n\n\n<p><strong>Abstract:<\/strong> Social Network Analysis is a paradigm that integrates theories, methods and applications of social networks. It is widely applied in the research area of natural science, social science and humanities. Social network analysis can help researchers to scrutinize the relationships and behavioral patterns of individuals or groups within the network, and also to explore the organizational structure and evolutionary patterns of the whole network. This paper discusses the methods and considerations of scale-free networks, centrality measures, and community detection, which are frequently used in network research.<\/p>\n\n\n\n<p><strong>Keywords: <\/strong>Social Network Analysis; Digital Humanities; Scale-free Network; Network Centrality; Community Detection<\/p>\n\n\n\n<p class=\"has-text-align-right\">\uff08\u7f16\u8f91\uff1a\u8d75\u8587\uff09<\/p>\n\n\n\n<p><strong>\u6ce8\u91ca\uff1a<\/strong><\/p>\n\n\n\n<p>[1]Harriet Martineau, <em>The Positive Philosophy of Auguste Comte<\/em>, v. 2, Kitchener: Batoche Books, 2000, p. 234.<\/p>\n\n\n\n<p>[2]Johannes Delitsch, \u201c\u00dcber Sch\u00fclerfreundschaften in einer Volksschule,\u201d<em>Zeitschrift f\u00fcr Kinderforschung<\/em>,<\/p>\n\n\n\n<p>vol. 5, 1900, pp. 150-162.<\/p>\n\n\n\n<p>[3]Jacob L. Moreno,<em> Who Shall Survive<\/em>, Washington DC: Nervous and Mental Disease Publishing, 1934.<\/p>\n\n\n\n<p>[4]Linton Freeman, <em>The Development of Social Network Analysis: A Study in the Sociology of Science<\/em>, New York: Empirical Press, 2004, p. 3.<\/p>\n\n\n\n<p>[5]Maximilian Schich et al., \u201cNetwork Framework of Cultural History,\u201d<em>Science<\/em>, vol. 345, no. 6196, 2014, pp.<\/p>\n\n\n\n<p>558-562.<\/p>\n\n\n\n<p>[6]Tudor Networks, http:\/\/tudornetworks.net\/, accessed June 1, 2021.<\/p>\n\n\n\n<p>[7]Kindred Britain, https:\/\/kindred.stanford.edu\/notes.html, accessed June 1, 2021.<\/p>\n\n\n\n<p>[8]Vilfredo Pareto, <em>Cours d\u2019\u00c9conomie Politique<\/em>, vol. I, Lausanne: F. Rouge, 1896, p. 430; Vilfredo Pareto, <em>Cours d\u2019\u00c9conomie Politique<\/em>, vol. II, 1897, p. 426.<\/p>\n\n\n\n<p>[9]Joseph Juran, \u201cPioneer in Quality Control,\u201d https:\/\/www.nytimes.com\/2008\/03\/03\/business\/03juran. html, accessed June 1, 2021.<\/p>\n\n\n\n<p>[10]J. L. Moreno, H. H. Jennings, \u201cStatistics of Social Configurations,\u201d<em>Sociometry<\/em>, vol. 1, 1938, pp. 342-374.<\/p>\n\n\n\n<p>[11]R. K. Merton, \u201cThe Matthew Effect in Science: The Reward and Communication Systems of Science are Considered,\u201d<em>Science<\/em>, vol. 159, no. 3810, 1968, pp. 56-63.<\/p>\n\n\n\n<p>[12]H. A. Simon, \u201cOn a Class of Skew Distribution Functions,\u201d<em>Biometrika<\/em>, vol. 42, no. 3\/4, 1955, pp. 425-440.<\/p>\n\n\n\n<p>[13]D. J. de S. Price, \u201cNetworks of Scientific Papers,\u201d<em>Science<\/em>, vol. 149, no. 3683, 1965, pp. 510-515.<\/p>\n\n\n\n<p>[14]A. L. Barab\u00e1si, R. Albert, \u201cEmergence of Scaling in Random Networks,\u201d<em>Science<\/em>, vol. 286, no. 5439, 1999, pp. 509-512.<\/p>\n\n\n\n<p>[15]\u80e1\u6d77\u6ce2\u3001\u738b\u6797\uff1a\u300a\u5e42\u5f8b\u5206\u5e03\u7814\u7a76\u7b80\u53f2\u300b\uff0c\u300a\u7269\u7406\u300b2005\u5e74\u7b2c12\u671f\u3002<\/p>\n\n\n\n<p>[16]A. D. Broido, A. Clauset, \u201cScale-free Networks are Rare,\u201d<em>Nature Communications<\/em>, vol. 10, no. 1017, 2019, pp. 1-10.<\/p>\n\n\n\n<p>[17]I. 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