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\u7ed3\u6784\u6027\u8d28\u7684\u6982\u5ff5\u6700\u65e9\u662f\u7531 Lin (1974) \u63d0\u51fa\u7684\uff0c\u7136\u540e\u7531 Glover \u548c Silverman (1976)\u6269\u5c55\u3002\u4e3b\u8981\u7684\u95ee\u9898\u662f\uff0c\u5bf9\u4e8e\u53ef\u53d8\u7cfb\u7edf\u53c2\u6570\u6765\u8bf4\uff0c\u7f3a\u4e4f\u53ef\u63a7\u6027\u6216\u53ef\u89c2\u6d4b\u6027\u662f\u5426\u662f\u666e\u904d\u5b58\u5728\u7684\u73b0\u8c61\u3002\u5728\u7ed3\u6784\u63a7\u5236\u7684\u6846\u67b6\u91cc\uff0c\u7cfb\u7edf\u53c2\u6570\u8981\u4e48\u662f\u72ec\u7acb\u81ea\u7531\u53d8\u91cf\uff0c\u8981\u4e48\u662f\u56fa\u5b9a\u76840\u3002\u8fd9\u5bf9\u4e8e\u7269\u7406\u7cfb\u7edf\u7684\u6a21\u578b\u662f\u4e00\u81f4\u7684\uff0c\u56e0\u4e3a\u53c2\u6570\u503c\u6c38\u8fdc\u4e0d\u4f1a\u51c6\u786e\u5730\u83b7\u5f97\uff0c\u96f6\u503c\u9664\u5916\uff0c\u96f6\u503c\u4ee3\u8868\u6ca1\u6709\u4ea4\u4e92\u548c\u8fde\u63a5\u3002<\/span><\/p>\n


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\u6700\u5927\u5339\u914d<\/span><\/strong><\/span><\/h3>\n

\u5728\u56fe\u8bba\u4e2d\uff0c\u5339\u914d\uff08\u56fe\u8bba\uff09\u662f\u4e00\u7ec4\u6ca1\u6709\u5171\u540c\u9876\u70b9\u7684\u8fb9\u3002Liu\u7b49\u4eba\u5c06\u6b64\u5b9a\u4e49\u6269\u5c55\u5230\u6709\u5411\u56fe\uff0c\u5176\u4e2d\u5339\u914d\u662f\u4e00\u7ec4\u4e0d\u5171\u4eab\u8d77\u59cb\u6216\u7ec8\u6b62\u9876\u70b9\u7684\u6709\u5411\u8fb9\u3002\u5f88\u5bb9\u6613\u77e5\u9053\uff0c\u6709\u5411\u56fe\u7684\u5339\u914d\u7531\u4e00\u7ec4\u9876\u70b9\u4e0d\u76f8\u4ea4\u7684\u7b80\u5355\u8def\u5f84\u548c\u5468\u671f\u7ec4\u6210\u3002\u5b9a\u5411\u7f51\u7edc\u7684\u6700\u5927\u5339\u914d\u53ef\u4ee5\u901a\u8fc7\u5728\u4e8c\u90e8\u56fe\u8868\u793a Bipartite Representation\u4e2d\u4f7f\u7528\u7ecf\u5178\u7684Hopcroft-Karp \u7b97\u6cd5\u6765\u9ad8\u6548\u5730\u8ba1\u7b97\uff0c\u8be5\u7b97\u6cd5\u5728\u6700\u574f\u60c5\u51b5\u4e0b\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u662fO(E)\u3002\u5bf9\u4e8e\u65e0\u5411\u56fe\uff0c\u7edf\u8ba1\u7269\u7406\u4e2d\u5f00\u53d1\u7684\u7a7a\u8154\u6cd5 Cavity Method\u7814\u7a76\u4e86\u6700\u5927\u5339\u914d\u7684\u5927\u5c0f\u548c\u6570\u91cf\u7684\u89e3\u6790\u89e3\u3002Liu\u7b49\u4eba\u6269\u5c55\u4e86\u6709\u5411\u56fe\u7684\u8ba1\u7b97\u8303\u56f4\u3002<\/span><\/p>\n


\u901a\u8fc7\u8ba1\u7b97\u5404\u79cd\u771f\u5b9e\u7f51\u7edc\u7684\u6700\u5927\u5339\u914d\uff0cLiu\u7b49\u4eba\u65ad\u8a00\u9a71\u52a8\u8282\u70b9\u7684\u6570\u91cf\u4e3b\u8981\u7531\u7f51\u7edc\u5ea6\u5206\u5e03P(kin<\/sub>,kout<\/sub>)\u51b3\u5b9a\u3002\u4ed6\u4eec\u8fd8\u4f7f\u7528\u7a7a\u8154\u65b9\u6cd5\u8ba1\u7b97\u4e86\u5177\u6709\u4efb\u610f\u5ea6\u5206\u5e03\u7684\u7f51\u7edc\u96c6\u5408\u7684\u9a71\u52a8\u8282\u70b9\u7684\u5e73\u5747\u6570\u91cf\u3002\u6709\u8da3\u7684\u662f\uff0c\u5bf9\u4e8e\u94fe\u56fe Chain Graph\u548c\u5f31\u5bc6\u96c6\u8fde\u901a\u56fe Weak Densely Connected Graph\uff0c\u4e24\u8005\u90fd\u5177\u6709\u975e\u5e38\u4e0d\u540c\u7684\u8fdb\u51fa\u5ea6\u5206\u5e03\uff1bLiu\u7b49\u4eba\u7684\u516c\u5f0f\u5c06\u4f1a\u8ba1\u7b97\u5f97\u51fa\u51fanD\u7684\u76f8\u540c\u503c\u3002\u6b64\u5916\uff0c\u5bf9\u4e8e\u8bb8\u591a\u771f\u5b9e\u4e16\u754c\u5730\u7f51\u7edc\uff0c\u5373\u98df\u7269\u7f51\u3001\u795e\u7ecf\u5143\u548c\u4ee3\u8c22\u7f51\u7edc\uff0cLiu\u7b49\u4eba\u8ba1\u7b97\u7684n<\/span>D<\/sub>real<\/sup>\u548cn<\/span>D<\/sub>rand_degree<\/sup><\/span>\u503c\u7684\u4e0d\u5339\u914d \u3002\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0c\u5982\u679c\u53ef\u63a7\u6027\u7eaf\u7cb9\u7531\u5ea6\u51b3\u5b9a\uff0c\u90a3\u4e3a\u4ec0\u4e48n<\/span>D<\/sub>real<\/sup>\u548cn<\/span>D<\/sub>rand_degree<\/sup><\/span>\u5bf9\u4e8e\u8bb8\u591a\u73b0\u5b9e\u4e16\u754c\u7684\u7f51\u7edc\u6765\u8bf4\u662f\u5982\u6b64\u4e0d\u540c\uff1f\u5bf9\u4e8e\u7f51\u7edc\u4e2d\u7684\u63a7\u5236\u5065\u58ee\u6027\u662f\u5426\u66f4\u591a\u5730\u53d7\u5230\u57fa\u4e8e\u5ea6\u7684\u4e2d\u4ecb\u4e2d\u5fc3\u6027 Betweenness Centrality\u548c\u7d27\u5bc6\u5ea6\u4e2d\u5fc3\u6027 Closeness Centrality\u7684\u5f71\u54cd\uff0c\u4ecd\u7136\u662f\u5f00\u653e\u7684\u3002<\/span><\/p>\n


\u867d\u7136\u7a00\u758f\u56fe Sparser Graph\u66f4\u96be\u4ee5\u63a7\u5236\uff0c\u4f46\u662f\uff0c\u4e2d\u4ecb\u4e2d\u5fc3\u6027\u548c\u7d27\u5bc6\u5ea6\u4e2d\u5fc3\u6027\uff0c\u6216\u5ea6\u5f02\u8d28\u6027 Degree Heterogeneity\u5728\u51b3\u5b9a\u5177\u6709\u51e0\u4e4e\u76f8\u4f3c\u7684\u5ea6\u5206\u5e03\u7684\u7a00\u758f\u56fe\u7684\u53ef\u63a7\u6027\u4e2d\u662f\u5426\u8d77\u66f4\u91cd\u8981\u7684\u4f5c\u7528\uff1f\u8fd9\u662f\u4e2a\u6709\u8da3\u7684\u95ee\u9898\u3002<\/span><\/p>\n


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\u590d\u5408\u91cf\u5b50\u7cfb\u7edf\u7684\u63a7\u5236\u4e0e\u4ee3\u6570\u56fe\u8bba<\/span><\/strong><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

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\u4eba\u4eec\u8fd8\u5f00\u53d1\u4e86\u5728\u590d\u5408\u91cf\u5b50\u7cfb\u7edf\u7684\u901a\u7528\u63a7\u5236\u80cc\u666f\u4e0b\u7684\u7f51\u7edc\u63a7\u5236\u7406\u8bba\uff0c\u5176\u4e2d\u5b50\u7cfb\u7edf\u53ca\u5176\u76f8\u4e92\u4f5c\u7528\u5206\u522b\u4e0e\u8282\u70b9\u548c\u94fe\u8def\u76f8\u5173\u8054\u3002\u8be5\u6846\u67b6\u5141\u8bb8\u4f7f\u7528\u4ee3\u6570\u56fe\u8bba\u4e2d\u7684\u5de5\u5177\u901a\u8fc7\u56fe\u7684\u6700\u5c0f\u7b49\u7ea7\u548c\u76f8\u5173\u6982\u5ff5\u6765\u5236\u5b9a\u5361\u5c14\u66fc\u51c6\u5219 Kalman’s Criterion\u3002<\/span><\/p>\n


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\u96c6\u667a\u89c6\u9891<\/span><\/strong><\/h3>\n


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\u6f2b\u8c08\u56fe\u8bba\u7684\u8d77\u6e90\u3001\u53d1\u5c55\u4e0e\u5e94\u7528<\/span><\/strong><\/h4>\n

https:\/\/campus.swarma.org\/course\/1745<\/span><\/p>\n

\u8bb2\u5e08\u4e3a\u8d75\u6d77\u5174\uff0c\u8bfe\u7a0b\u96be\u5ea6\u4e3a\u4e2d\u7ea7\u3002\u672c\u8bfe\u7a0b\u4e2d\uff0c\u4ecb\u7ecd\u4e86\u56fe\u8bba\u4e2d\u7684\u57fa\u672c\u6982\u5ff5\u548c\u7f51\u7edc\u79d1\u5b66\u4f7f\u7528\u7684\u5de5\u5177\uff0c\u53ef\u4ee5\u5e2e\u52a9\u8ba4\u8bc6\u771f\u5b9e\u7f51\u7edc\u7684\u5173\u952e\u6027\u8d28\u3002\u968f\u540e\u7684\u7ae0\u8282\u5c06\u7cfb\u7edf\u5730\u7814\u7a76\u8fd9\u4e9b\u7f51\u7edc\u6027\u8d28\uff0c\u6df1\u5165\u7406\u89e3\u8fd9\u4e9b\u7f51\u7edc\u6027\u8d28\u5728\u8ba4\u8bc6\u590d\u6742\u7cfb\u7edf\u65b9\u9762\u53d1\u6325\u7684\u91cd\u8981\u4f5c\u7528\u3002<\/span><\/p>\n

\u7f51\u7edc\u79d1\u5b66\u7814\u7a76\u4e2d\u8bb8\u591a\u7f51\u7edc\u5305\u542b\u6570\u5343\u4e2a\u751a\u81f3\u6570\u767e\u4e07\u4e2a\u8282\u70b9\u548c\u94fe\u63a5\u3002\u5728\u7814\u7a76\u5c0f\u7f51\u7edc\u7684\u57fa\u7840\u4e0a\uff0c\u8fd8\u9700\u8981\u8d70\u7684\u66f4\u8fdc\u3002\u5bf9\u4e8e\u5177\u6709\u5f88\u591a\u8282\u70b9\u548c\u8fde\u8fb9\u7684\u7f51\u7edc\uff0c\u8fc7\u4e8e\u590d\u6742\uff0c\u76ee\u6d4b\u7684\u65b9\u5f0f\u5bf9\u4e8e\u7406\u89e3\u548c\u8ba4\u8bc6\u8fd9\u7c7b\u7f51\u7edc\u4e0d\u518d\u9002\u7528\u3002\u9700\u8981\u9002\u7528\u7f51\u7edc\u79d1\u5b66\u7684\u5de5\u5177\u6765\u523b\u753b\u7f51\u7edc\u7684\u62d3\u6251\uff0c\u4f8b\u5982\uff1a\u5ea6\u3001\u5ea6\u5206\u5e03\u3001\u90bb\u63a5\u77e9\u9635\u3001\u52a0\u6743\u7f51\u7edc\u3001\u4e8c\u5206\u7f51\u7edc\u3001\u8def\u5f84\u3001\u8ddd\u79bb\u3001\u8fde\u901a\u6027\u3001\u96c6\u805a\u7cfb\u6570\u7b49\u3002<\/span><\/p>\n


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\u56fe3\uff1a\u8d75\u6d77\u5174\uff0c\u73b0\u4efb\u9752\u6d77\u5e08\u8303\u5927\u5b66\u6821\u957f\uff0c\u4e3b\u8981\u4ece\u4e8b\u7f51\u7edc\u79d1\u5b66\u548c\u4fe1\u606f\u5904\u7406\u7684\u7814\u7a76\u5de5\u4f5c\u3002<\/span><\/p>\n


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\u91cf\u5b50\u7cfb\u7edf\u7684\u6f14\u5316\uff1a\u859b\u5b9a\u8c14\u65b9\u7a0b<\/strong><\/span><\/h4>\n

https:\/\/campus.swarma.org\/course\/562<\/span><\/p>\n

\u672c\u8bfe\u7a0b\u96be\u5ea6\u4e3a\u521d\u7ea7\uff0c\u8bb2\u5e08\u4e3a\u5434\u91d1\u95ea\uff08\u56fe4\uff09\u3002\u5c06\u7ed3\u5408\u859b\u5b9a\u8c14\u65b9\u7a0b\u7684\u4f8b\u5b50\u4e3a\u4f60\u4ecb\u7ecd\u859b\u5b9a\u8c14\u65b9\u7a0b\uff0c\u540c\u65f6\u8fd8\u5c06\u6d89\u53ca\u7cfb\u672c\u5f81\u503c\u548c\u672c\u5f81\u5411\u91cf\u7684\u76f8\u5173\u5185\u5bb9\u3002<\/span><\/p>\n

\u859b\u5b9a\u8c14\u65b9\u7a0b\u53c8\u79f0\u859b\u5b9a\u8c14\u6ce2\u52a8\u65b9\u7a0b\uff0c\u662f\u7531\u5965\u5730\u5229\u7269\u7406\u5b66\u5bb6\u859b\u5b9a\u8c14\u63d0\u51fa\u7684\u91cf\u5b50\u529b\u5b66\u4e2d\u7684\u4e00\u4e2a\u57fa\u672c\u65b9\u7a0b\uff0c\u4e5f\u662f\u91cf\u5b50\u529b\u5b66\u7684\u4e00\u4e2a\u57fa\u672c\u5047\u5b9a\u3002<\/span><\/p>\n

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\u56fe4\uff1a\u5434\u91d1\u95ea\uff0c\u5317\u4eac\u5e08\u8303\u5927\u5b66\u7cfb\u7edf\u79d1\u5b66\u6559\u6388\uff0c\u4e00\u76f4\u5728\u8df5\u884c\u548c\u547c\u5401\u878d\u5408\u8fb9\u754c\u7684\u7814\u7a76\u3001\u6559\u5b66\u548c\u601d\u8003\u3002<\/span><\/p>\n


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\u8bba\u6587\u89e3\u8bfb\uff1a\u7b26\u53f7\u4e00\u81f4\u6027\u7f51\u7edc\u7684\u53ef\u63a7\u6027\u548c\u7a33\u5b9a\u6027<\/span><\/strong><\/h4>\n

https:\/\/campus.swarma.org\/course\/2495<\/span><\/p>\n

\u8bb2\u5e08\u4e3a\u6731\u4f73\u4f1f\uff0c\u8bfe\u7a0b\u96be\u5ea6\u4e3a\u4e2d\u7ea7\u3002\u672c\u8bfe\u7a0b\u4e2d\uff0c\u4e3b\u8981\u8bb2\u89e3\u5229\u7528\u7b26\u53f7\u7f51\u7edc\u63cf\u8ff0\u5e26\u6709\u7ade\u4e89\u5173\u7cfb\u7684\u591a\u667a\u80fd\u4f53\u7cfb\u7edf\uff0c\u5e76\u5206\u6790\u7b26\u53f7\u4e00\u81f4\u6027\u7f51\u7edc\u7684\u53ef\u63a7\u6027\u548c\u7a33\u5b9a\u6027\u95ee\u9898\u3002<\/span><\/p>\n


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\u96c6\u667a\u6587\u7ae0<\/span><\/strong><\/h3>\n

Nature \u5386\u5e74\u7f51\u7edc\u79d1\u5b66\u6587\u96c6\uff1a\u7f51\u7edc\u5c42\u6b21\u548c\u7ed3\u6784<\/strong><\/a>
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\u8fd1\u5341\u5e74\u6765\u7f51\u7edc\u79d1\u5b66\u84ec\u52c3\u53d1\u5c55\uff0cNature \u7cfb\u5217\u671f\u520a\u4e0a\u53d1\u8868\u4e86\u8fd1\u767e\u7bc7\u4ee5\u7f51\u7edc\u4e3a\u4e3b\u9898\u7684\u8bba\u6587\u3002\u6211\u4eec\u9488\u5bf9\u4e3a\u8fd9\u4e9b\u8bba\u6587\u505a\u4e86\u5206\u7c7b\uff0c\u7f16\u8bd1\u4e86\u8bba\u6587\u6458\u8981\uff0c\u5e76\u505a\u7b80\u5355\u8bc4\u4ef7\uff0c\u4ee5\u5c55\u73b0\u7f51\u7edc\u79d1\u5b66\u7684\u53d1\u5c55\u7684\u8109\u7edc\u3002\u672c\u7bc7\u6574\u7406\u7684 21 \u7bc7\u8bba\u6587\u6d89\u53ca\u751f\u6001\u3001\u8fdb\u5316\u3001\u5927\u8111\u3001\u793e\u4ea4\u7b49\uff0c\u4e3b\u8981\u5173\u6ce8\u7f51\u7edc\u7684\u5c42\u7ea7\u548c\u7ed3\u6784\u3002<\/span><\/p>\n


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CSDN\u793e\u533a<\/span><\/strong><\/h3>\n