{"id":19483,"date":"2020-05-04T21:48:00","date_gmt":"2020-05-04T13:48:00","guid":{"rendered":"https:\/\/swarma.org\/?p=19483"},"modified":"2020-05-04T21:48:00","modified_gmt":"2020-05-04T13:48:00","slug":"%e4%bb%80%e4%b9%88%e6%98%af%e7%a4%be%e5%9b%a2%e6%a3%80%e6%b5%8b%e4%b8%ad%e7%9a%84%e6%a8%a1%e5%9d%97%e5%ba%a6-%e9%9b%86%e6%99%ba%e7%99%be%e7%a7%91","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=19483","title":{"rendered":"\u4ec0\u4e48\u662f\u793e\u56e2\u68c0\u6d4b\u4e2d\u7684\u6a21\u5757\u5ea6 | \u96c6\u667a\u767e\u79d1"},"content":{"rendered":"
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\u201c\u96c6\u667a\u767e\u79d1\u7cbe\u9009\u201d\u662f\u4e00\u4e2a\u957f\u671f\u4e13\u680f\uff0c\u6301\u7eed\u4e3a\u5927\u5bb6\u63a8\u9001\u590d\u6742\u6027\u79d1\u5b66\u76f8\u5173\u7684\u57fa\u672c\u6982\u5ff5\u548c\u8d44\u6e90\u4fe1\u606f\u3002\u4f5c\u4e3a\u96c6\u667a\u4ff1\u4e50\u90e8\u7684\u5f00\u6e90\u79d1\u5b66\u9879\u76ee\uff0c\u96c6\u667a\u767e\u79d1\u5e0c\u671b\u6253\u9020\u590d\u6742\u6027\u79d1\u5b66\u9886\u57df\u6700\u5168\u9762\u7684\u767e\u79d1\u5168\u4e66\uff0c\u6b22\u8fce\u5bf9\u590d\u6742\u6027\u79d1\u5b66\u611f\u5174\u8da3\u3001\u70ed\u7231\u77e5\u8bc6\u6574\u7406\u548c\u5206\u4eab\u7684\u670b\u53cb\u52a0\u5165\uff01<\/span><\/section>\n

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\u4eca\u5929\u5206\u4eab\u7f51\u7edc\u79d1\u5b66\u9886\u57df\u91cc\u9762\u6a21\u5757\u5ea6\u8fd9\u4e00\u4e3b\u9898\u3002\u5982\u4f55\u63a2\u5bfb\u7f51\u7edc\u4e2d\u7684\u793e\u56e2\u7ed3\u6784\uff0c\u6316\u6398\u66f4\u591a\u7f51\u7edc\u80cc\u540e\u7684\u4fe1\u606f\u3002\u672c\u6587\u5c06\u4ecb\u7ecd\u6a21\u5757\u5ea6\u7684\u57fa\u672c\u6982\u5ff5\uff0c\u6709\u54ea\u4e9b\u597d\u73a9\u7684\u6848\u4f8b\uff0c\u77e5\u540d\u7684\u7814\u7a76\u8005\u3001\u4e00\u4e9b\u5165\u95e8\u7684\u5b66\u4e60\u8d44\u6e90\u3002<\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n
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\u56db\u3001\u76f8\u5173\u8d44\u6e90\u63a8\u4ecb<\/strong><\/strong><\/strong><\/p>\n

\u4e94\u3001\u96c6\u667a\u767e\u79d1\u8bcd\u6761\u5fd7\u613f\u8005\u62db\u52df<\/strong><\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n

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\u4e00\u3001\u4ec0\u4e48\u662f\u6a21\u5757\u5ea6 \uff1f<\/span><\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n
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\u4fe1\u606f\u7f51\u7edc\u3001\u793e\u4f1a\u7f51\u7edc\u3001\u751f\u7269\u7f51\u7edc\u7b49\u5404\u7c7b\u7f51\u7edc\u4e2d\u4f1a\u5b58\u5728\u4e00\u4e9b\u7d27\u5bc6\u8fde\u63a5\u7684\u533a\u57df\u3002\u8fd9\u4e9b\u533a\u57df\uff08\u8282\u70b9\u96c6\uff09\u5e38\u5bf9\u5e94\u67d0\u79cd\u529f\u80fd\uff0c\u79f0\u4e3a\u793e\u56e2\uff08Community\uff09<\/strong>\uff0c\u89c1\u4e0b\u56fe\u3002\u793e\u56e2\u5185\u90e8\u8fde\u63a5\u7d27\u5bc6\uff0c\u800c\u793e\u56e2\u5916\u90e8\u7684\u8fde\u63a5\u5219\u76f8\u5bf9\u7a00\u758f\uff0c\u5373\u201c\u5185\u7d27\u5916\u677e\u201d\u3002\u6839\u636e\u8fd9\u4e2a\u7279\u70b9\uff0c\u4eba\u4eec\u8bbe\u8ba1\u4e86\u7b97\u6cd5\u6765\u63a2\u6d4b\u7f51\u7edc\u4e2d\u7684\u793e\u56e2\u7ed3\u6784\uff0c\u4ece\u800c\u66f4\u597d\u5730\u7406\u89e3\u7f51\u7edc\u4e2d\u8574\u542b\u7684\u4e30\u5bcc\u4fe1\u606f\u3002<\/span><\/p>\n

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\u56fe1\uff1a\u7f51\u7edc\u4e2d\u7684\u793e\u56e2\u7ed3\u6784\u53ef\u89c6\u5316<\/span><\/strong><\/p>\n

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\u76f8\u5173\u9605\u8bfb\uff1a<\/span>
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\u4ec0\u4e48\u662f\u793e\u56e2\u7ed3\u6784 | \u96c6\u667a\u767e\u79d1<\/span><\/a>
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\u201c\u68c0\u6d4b\u7f51\u7edc\u4e2d\u7684\u793e\u56e2\u201d\u7b49\u540c\u4e8e\u201c\u7ed9\u8282\u70b9\u5206\u7ec4\u201d\u3002\u6a21\u5757\u5ea6\uff08Modularity\uff09<\/strong>\u662f\u4e00\u79cd\u5e38\u7528\u7684\u8861\u91cf\u8282\u70b9\u5206\u7ec4\u8d28\u91cf\u7684\u6807\u51c6\u3002\u6a21\u5757\u5ea6\u8d8a\u9ad8\u8bf4\u660e\u6240\u68c0\u6d4b\u5230\u7684\u793e\u56e2\u8d8a\u7b26\u5408\u201c\u5185\u7d27\u5916\u677e\u201d\u7684\u7279\u5f81\uff0c\u5206\u7ec4\u8d28\u91cf\u8d8a\u597d\u3002<\/span><\/p>\n


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\u57fa\u4e8e\u6a21\u5757\u5ea6\u7684\u6982\u5ff5\uff0c\u7f51\u7edc\u79d1\u5b66\u5960\u57fa\u4eba\u4e4b\u4e00Mark Newman\u4e8e2004\u5e74\u63d0\u51fa\u4e86\u4e00\u79cd\u7ecf\u5178\u7684\u793e\u56e2\u68c0\u6d4b\u65b9\u6cd5\u2014\u2014\u6a21\u5757\u5ea6\u6700\u5927\u503c\u6cd5\uff08Modularity maximization\uff09<\/strong>\u3002\u5b83\u901a\u8fc7\u8003\u8651\u7f51\u7edc\u4e2d\u6240\u6709\u53ef\u80fd\u7684\u8282\u70b9\u5206\u7ec4\uff0c\u627e\u5230\u4f7f\u5f97\u6a21\u5757\u5ea6\u6700\u5927\u7684\u5206\u7ec4\u65b9\u5f0f\u3002\u57fa\u4e8e\u6a21\u5757\u5ea6\u7684\u793e\u56e2\u68c0\u6d4b\u7b97\u6cd5\u81f3\u4eca\u4ecd\u88ab\u5e7f\u6cdb\u4f7f\u7528\u3002<\/span><\/p>\n


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\u56fe2\uff1a\u5728\u7f51\u7edc\u4e2d\u5212\u5206\u6a21\u5757<\/span><\/strong><\/section>\n

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\u8981\u8ba1\u7b97\u4e00\u4e2a\u7f51\u7edc\u7684\u6a21\u5757\u5ea6\uff0c\u9700\u8981\u6784\u9020\u4e00\u4e2a\u5177\u6709\u76f8\u540c\u8282\u70b9\u5ea6\u5206\u5e03\u7684\u968f\u673a\u7f51\u7edc\u4f5c\u4e3a\u53c2\u7167\u3002\u901a\u4fd7\u5730\u6765\u8bf4\uff0c\u6a21\u5757\u5ea6\u7684\u7269\u7406\u542b\u4e49\u662f\uff1a\u5728\u793e\u56e2\u5185\uff0c\u5b9e\u9645\u7684\u8fb9\u6570\u4e0e\u968f\u673a\u60c5\u51b5\u4e0b\u7684\u8fb9\u6570\u7684\u5dee\u8ddd\u3002\u5982\u679c\u5dee\u8ddd\u6bd4\u8f83\u5927\uff0c\u8bf4\u660e\u793e\u56e2\u5185\u90e8\u5bc6\u96c6\u7a0b\u5ea6\u663e\u8457\u9ad8\u4e8e\u968f\u673a\u60c5\u51b5\uff0c\u793e\u56e2\u5212\u5206\u7684\u8d28\u91cf\u8f83\u597d\u3002\u6a21\u5757\u5ea6\u53d6\u503c\u8303\u56f4\u5728[-0.5,1]\u4e4b\u95f4\u3002\u5982\u679c\u8282\u70b9\u7ec4\u4e2d\u7684\u8fde\u8fb9\u6570\u91cf\u8d85\u8fc7\u4e86\u968f\u673a\u5206\u914d\u65f6\u6240\u5f97\u5230\u7684\u671f\u671b\u8fde\u8fb9\u6570\u91cf\uff0c\u6a21\u5757\u5ea6\u4e3a\u6b63\u6570\u3002\u6ca1\u6709\u8d85\u8fc7\uff0c\u5219\u4e3a\u8d1f\u6570\u3002<\/span><\/section>\n

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\u6ce8\uff1a<\/strong>\u6a21\u5757\u5ea6\u7684\u516c\u5f0f\u63a8\u5bfc\uff0c\u8bf7\u70b9\u51fb\u6587\u672b\u201c\u9605\u8bfb\u539f\u6587\u201d\uff0c\u67e5\u9605\u96c6\u667a\u767e\u79d1\u539f\u6587\u3002<\/strong><\/span><\/section>\n


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\u4e8c\u3001\u6a21\u5757\u5ea6\u6700\u5927\u5316\u7b97\u6cd5<\/strong><\/span>
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\u6a21\u677f\u5ea6\u6700\u5927\u503c\u6cd5\u662f\u4f7f\u7528\u6700\u4e3a\u5e7f\u6cdb\u7684\u793e\u56e2\u68c0\u6d4b\u65b9\u6cd5\u4e4b\u4e00\u3002\u8be5\u65b9\u6cd5\u7684\u76ee\u6807\u662f\u4ece\u6240\u6709\u53ef\u80fd\u7684\u5206\u7ec4\u4e2d\u627e\u5230\u4f7f\u5f97\u6a21\u5757\u5ea6\u6700\u5927\u7684\u5206\u7ec4\u3002\u7531\u4e8e\u7a77\u4e3e\u6240\u6709\u53ef\u80fd\u7684\u5206\u7ec4\u5341\u5206\u56f0\u96be\uff0c\u6240\u4ee5\u5b9e\u9645\u7684\u7b97\u6cd5\u90fd\u91c7\u7528\u8fd1\u4f3c\u4f18\u5316\u65b9\u6cd5\u3002\u4f8b\u5982\uff0cMark Newman \u63d0\u51fa\u4e86\u6a21\u5757\u5ea6\u6700\u5927\u5316\u7684\u8d2a\u5a6a\u7b97\u6cd5 Fast NewMan (FN)<\/strong>\u3002\u8d2a\u5a6a\u7b97\u6cd5\u7684\u539f\u7406\u662f\u627e\u51fa\u6bcf\u4e2a\u5c40\u90e8\u6700\u4f18\u503c\uff0c\u6700\u7ec8\u5c06\u5c40\u90e8\u6700\u4f18\u503c\u6574\u5408\u6210\u6574\u4f53\u7684\u8fd1\u4f3c\u6700\u4f18\u503c\u3002<\/span><\/p>\n


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\u56fe3\uff1a\u6a21\u5757\u5ea6\u6700\u5927\u5316\u7b97\u6cd5\u68c0\u6d4b\u793e\u56e2\u793a\u610f\u56fe<\/span><\/strong>
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1. \u521d\u59cb\u65f6\u5c06\u7f51\u7edc\u4e2d\u7684\u6bcf\u4e2a\u8282\u70b9\u90fd\u770b\u6210\u72ec\u7acb\u7684\u5c0f\u793e\u56e2\u3002<\/span><\/p>\n

2. \u8003\u8651\u6240\u6709\u76f8\u8fde\u793e\u56e2\u4e24\u4e24\u5408\u5e76\u7684\u60c5\u51b5\uff0c\u8ba1\u7b97\u6bcf\u79cd\u5408\u5e76\u5e26\u6765\u7684\u6a21\u5757\u5ea6\u7684\u589e\u91cf\u3002<\/span><\/p>\n

3. \u57fa\u4e8e\u8d2a\u5a6a\u539f\u5219\uff0c\u9009\u53d6\u4f7f\u6a21\u5757\u5ea6\u589e\u957f\u6700\u5927\u7684\u4e24\u4e2a\u793e\u56e2\uff0c\u5c06\u5b83\u4eec\u5408\u5e76\u6210\u4e00\u4e2a\u793e\u56e2\u3002<\/span><\/p>\n

4. \u5982\u6b64\u5faa\u73af\u8fed\u4ee3\u3002\u968f\u7740\u8fed\u4ee3\u7684\u8fdb\u884c\uff0c\u6a21\u5757\u5ea6\u4e0d\u65ad\u53d8\u5316\uff0c\u5176\u6700\u5927\u503c\u65f6\u5bf9\u5e94\u6700\u4f18\u793e\u56e2\u5212\u5206\u3002 <\/span><\/p>\n


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\u540e\u6765\uff0cVincent Blondel\u7b49\u4eba\u8fd0\u7528\u6a21\u677f\u5ea6\u6700\u5927\u503c\u6cd5\u7684\u57fa\u672c\u539f\u7406\uff0c\u63d0\u51fa\u4e86Louvain\u7b97\u6cd5<\/strong>\uff0c\u5927\u5927\u964d\u4f4e\u4e86\u7b97\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u3002\u5341\u5206\u9002\u5408\u793e\u4f1a\u7f51\u7edc\u7b49\u8d85\u5927\u89c4\u6a21\u7f51\u7edc\u7684\u793e\u56e2\u68c0\u6d4b\u3002\u4e5f\u6210\u4e3a\u5e94\u7528\u6700\u5e7f\u7684\u7b97\u6cd5\u4e4b\u4e00\u3002\u4f7f\u7528Python\u7684\u7f51\u7edc\u79d1\u5b66\u5de5\u5177\u5305NetworkX , \u53ef\u4ee5\u8f7b\u677e\u8c03\u7528\u8be5\u7b97\u6cd5\uff0c\u5b9e\u73b0\u793e\u56e2\u68c0\u6d4b\u3002<\/span><\/strong><\/p>\n


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NetworkX\uff1a\u662fPython\u5728\u590d\u6742\u7f51\u7edc\u5206\u6790\u9886\u57df\u7684\u8f6f\u4ef6\u5305\uff0c\u7f51\u7edc\u5206\u6790\u7684\u5fc5\u5907\u795e\u5668\uff0c\u8c01\u7528\u8c01\u77e5\u9053\u3002\u5b83\u529f\u80fd\u5f3a\u5927\uff0c\u51e0\u4e4e\u8986\u76d6\u590d\u6742\u7f51\u7edc\u5206\u6790\u4e2d\u7684\u6240\u6709\u53ef\u8ba1\u7b97\u7684\u6982\u5ff5\u3002\u5c0f\u4f19\u4f34\u4eec\u53ea\u8981\u4f1a\u4f7f\u7528Python\u8fdb\u884c\u57fa\u672c\u7f16\u7a0b\uff0c\u5c31\u53ef\u4ee5\u7528\u8d77\u6765\u3002<\/span><\/p>\n

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https:\/\/networkx.github.io<\/p>\n<\/section>\n<\/section>\n<\/blockquote>\n


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\u56fe4\uff1a\u8fd0\u7528\u6a21\u5757\u5ea6\u6700\u5927\u503c\u7b97\u6cd5\u68c0\u6d4b\u51fa\u7684\u793e\u56e2\u3002\u8282\u70b9\u4e3a\u516c\u53f8\uff0c\u8fb9\u4e3a\u516c\u53f8\u95f4\u804c\u5458\u7684\u6d41\u52a8\u3002\u84dd\u8272\u4e3a\u7ebf\u4e0a\u4e3a\u4e3b\u7684\u516c\u53f8\u3001\u9ec4\u8272\u4e3a\u7ebf\u4e0b\u4e3a\u4e3b\u7684\u516c\u53f8\u3001\u7ea2\u8272\u4e3a\u7ebf\u4e0a\u7ebf\u4e0b\u517c\u987e\u7684\u516c\u53f8\u3002<\/span><\/strong><\/p>\n<\/section>\n

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\u8bba\u6587\u9898\u76ee\uff1a<\/span><\/p>\n

Global labor flow network reveals the hierarchical organization and dynamics of geo-industrial clusters<\/span><\/p>\n

\u8bba\u6587\u5730\u5740\uff1a<\/span><\/p>\n

https:\/\/www.nature.com\/articles\/s41467-019-11380-w<\/span><\/p>\n<\/section>\n<\/section>\n<\/blockquote>\n

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Mark Newman<\/span><\/strong><\/span><\/p>\n


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<\/strong>\u56fe5\uff1aMark Newman<\/strong><\/span><\/strong><\/p>\n


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\u7f8e\u56fd\u5bc6\u6b47\u6839\u5927\u5b66\u7269\u7406\u7cfb\u548c\u590d\u6742\u7cfb\u7edf\u7814\u7a76\u4e2d\u5fc3\u7279\u8058\u6559\u6388\u3002\u540c\u65f6\u4e5f\u662f\u5723\u5854\u83f2\u7814\u7a76\u6240 \uff08Santa Fe Institue\uff09\u5916\u8058\u6559\u6388\u3002\u7f51\u7edc\u79d1\u5b66\u7684\u5148\u9a71\u8005\u4e4b\u4e00\uff0c2014\u5e74\u88ab\u6388\u4e88\u62c9\u683c\u6717\u65e5\u5956\u3002\u4ed6\u7684\u8bba\u6587\u603b\u5f15\u7528\u91cf\u8d85\u8fc718\u4e07\uff0c\u8457\u6709\u7f51\u7edc\u79d1\u5b66\u7ecf\u5178\u8457\u4f5c\u300aNetworks: An Introduction\u300b\u3002<\/span><\/section>\n


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\u96c6\u667a\u63a8\u6587<\/strong><\/span><\/p>\n


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Nature\u901a\u8baf\uff1a\u79d1\u5b66\u5bb6\u5174\u8da3\u8f6c\u79fb\u6108\u53d1\u9891\u7e41\uff0c\u4f46\u5bf9\u79d1\u7814\u751f\u6daf\u53ef\u80fd\u4e0d\u5229<\/span><\/a>
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\u793e\u56e2\u7ed3\u6784\u5206\u6790\u2014\u2014\u57fa\u4e8e\u6a21\u5757\u5ea6\u4f18\u5316\u7684\u5feb\u901f\u5c55\u5f00\u7b97\u6cd5\uff08fast unfolding algorithm\uff09\u901a\u8fc7\u5feb\u901f\u5c55\u5f00\u7b97\u6cd5\u8bc6\u522b\u79d1\u5b66\u5bb6\u7684\u793e\u56e2\u7ed3\u6784\u3002<\/span><\/p>\n


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\u6587\u732e<\/span><\/strong><\/section>\n

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\u5728\u5927\u578b\u7f51\u7edc\u4e2d\u68c0\u6d4b\u793e\u56e2\u7ed3\u6784<\/span><\/p>\n

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\u8bba\u6587\u9898\u76ee\uff1a<\/span><\/p>\n

Finding community structure in very large networks<\/span><\/p>\n

\u8bba\u6587\u5730\u5740\uff1a<\/span><\/p>\n

http:\/\/ece-research.unm.edu\/ifis\/papers\/community-moore.pdf<\/span><\/p>\n<\/section>\n<\/section>\n<\/blockquote>\n

\u5b9a\u4e49\u6a21\u5757\u5ea6\u7684\u4f5c\u8005Newman and M. Girvan \u8bba\u6587\u2014\u2014\u7f51\u7edc\u793e\u56e2\u7ed3\u6784\u7684\u53d1\u73b0\u4e0e\u8bc4\u4ef7<\/span><\/p>\n

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\u8bba\u6587\u9898\u76ee\uff1a<\/span><\/p>\n

Finding and evaluating community structure in networks<\/span><\/p>\n

\u8bba\u6587\u5730\u5740\uff1a<\/span><\/p>\n

https:\/\/arxiv.org\/pdf\/cond-mat\/0308217.pdf<\/span><\/p>\n<\/section>\n<\/section>\n<\/blockquote>\n

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Modularity and community structure in networks<\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n
\u8bba\u6587\u5730\u5740\uff1a
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https:\/\/www.pnas.org\/content\/pnas\/103\/23\/8577.full.pdf<\/span><\/section>\n<\/section>\n<\/section>\n<\/blockquote>\n
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\u53c2\u8003\u8d44\u6599\uff1a<\/span><\/strong><\/span><\/p>\n


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\u6a21\u5757\u5ea6  \u96c6\u667a\u767e\u79d1\uff1a<\/span><\/p>\n

https:\/\/wiki.swarma.org\/index.php?title=\u6a21\u5757\u5ea6<\/span><\/p>\n

\u6a21\u5757\u5ea6 \u767e\u5ea6\u767e\u79d1\uff1a<\/span><\/p>\n

https:\/\/baike.baidu.com\/item\/\u6a21\u5757\u5ea6\/17556345?fr=aladdin<\/span><\/p>\n

\u6a21\u5757\u5ea6  \u7ef4\u57fa\u767e\u79d1\uff1a<\/span><\/p>\n

https:\/\/en.wikipedia.org\/wiki\/Modularity_(networks)<\/span><\/p>\n


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\u5206\u5f62\u51e0\u4f55\uff1a\u5bfb\u627e\u9690\u85cf\u7684\u7ef4\u5ea6 | \u96c6\u667a\u767e\u79d1<\/strong><\/span><\/a>
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\u4ec0\u4e48\u662f\u5143\u80de\u81ea\u52a8\u673a\uff1f| \u96c6\u667a\u767e\u79d1<\/strong><\/span><\/a>
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\u4ec0\u4e48\u662f\u793e\u56e2\u7ed3\u6784 | \u96c6\u667a\u767e\u79d1<\/strong><\/span><\/a>
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\u5982\u4f55\u68c0\u6d4b\u793e\u56e2\u5185\u7684\u5d4c\u5957\u7ed3\u6784\uff1f<\/a><\/strong><\/span><\/section>\n
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\u5546\u52a1\u5408\u4f5c\u53ca\u6295\u7a3f\u8f6c\u8f7d\uff5cswarma@swarma.org
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\u25c6 <\/span>\u25c6 <\/span>\u25c6<\/span><\/span><\/strong><\/strong><\/h1>\n<\/section>\n

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\u52a0\u5165\u201c\u6ca1\u6709\u56f4\u5899\u7684\u7814\u7a76\u6240\u201d<\/span><\/strong><\/span><\/p>\n

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\u8ba9\u82f9\u679c\u7838\u5f97\u66f4\u731b\u70c8\u4e9b\u5427\uff01<\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n


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