{"id":32739,"date":"2022-02-27T22:12:25","date_gmt":"2022-02-27T14:12:25","guid":{"rendered":"https:\/\/swarma.org\/?p=32739"},"modified":"2022-02-27T22:12:25","modified_gmt":"2022-02-27T14:12:25","slug":"%e7%bd%91%e7%bb%9c%e4%b8%ad%e5%bf%83%e6%80%a7%ef%bc%9a%e5%a4%9a%e7%a7%8d%e4%b8%ad%e5%bf%83%e6%80%a7%e6%8c%87%e6%a0%87%e7%9a%84%e5%ae%9a%e4%b9%89%e4%b8%8e%e5%af%b9%e6%af%94-%e9%9b%86%e6%99%ba","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=32739","title":{"rendered":"\u7f51\u7edc\u4e2d\u5fc3\u6027\uff1a\u591a\u79cd\u4e2d\u5fc3\u6027\u6307\u6807\u7684\u5b9a\u4e49\u4e0e\u5bf9\u6bd4 | \u96c6\u667a\u767e\u79d1"},"content":{"rendered":"
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\u5728\u56fe\u8bba\u548c\u7f51\u7edc\u5206\u6790\u4e2d\uff0c\u4e2d\u5fc3\u6027 centrality \u6307\u6807\u7528\u4e8e\u8bc6\u522b\u56fe\u4e2d\u6700\u91cd\u8981\u7684\u9876\u70b9\u3002<\/span>\u5176\u5e94\u7528\u5305\u62ec\u5728\u793e\u4ea4\u7f51\u7edc\u4e2d\u8bc6\u522b\u51fa\u6700\u6709\u5f71\u54cd\u529b\u7684\u4e2a\u4eba\uff0c\u5728\u56e0\u7279\u7f51\u6216\u57ce\u5e02\u7f51\u7edc\u4e2d\u8bc6\u522b\u51fa\u6700\u4e3a\u5173\u952e\u7684\u57fa\u7840\u8bbe\u65bd\u8282\u70b9\uff0c\u4ee5\u53ca\u8bc6\u522b\u75be\u75c5\u7684\u8d85\u7ea7\u4f20\u64ad\u8005\u3002<\/span>\u4e2d\u5fc3\u6027\u7684\u6982\u5ff5\u6700\u521d\u662f\u5728\u793e\u4ea4\u7f51\u7edc\u5206\u6790\u4e2d\u53d1\u5c55\u8d77\u6765\u7684\uff0c\u8bb8\u591a\u7528\u4e8e\u8861\u91cf\u4e2d\u5fc3\u6027\u7684\u672f\u8bed\u90fd\u53cd\u6620\u51fa\u4e86\u5b83\u4eec\u7684\u793e\u4f1a\u5b66\u8d77\u6e90\u3002<\/span>\u4e2d\u5fc3\u6027\u4e0d\u5e94\u4e0e\u8282\u70b9\u5f71\u54cd\u5ea6\u76f8\u6df7\u6dc6\uff0c\u540e\u8005\u610f\u5728\u91cf\u5316\u7f51\u7edc\u4e2d\u6bcf\u4e2a\u8282\u70b9\u7684\u5f71\u54cd\u3002<\/span>
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\u53ef\u4ee5\u4ece\u4e2d\u5fc3\u6027\u7684\u6784\u9020\u65b9\u5f0f\u63a8\u5bfc\u51fa\u53e6\u4e00\u79cd\u5206\u7c7b\u65b9\u6cd5\u3002\u8fd9\u53c8\u5206\u6210\u4e86\u4e24\u4e2a\u7c7b\u3002\u4e2d\u5fc3\u6027\u53ef\u4ee5\u662f\u5f84\u5411\u7684\uff0c\u4e5f\u53ef\u4ee5\u662f\u4e2d\u95f4\u7684\u3002\u5f84\u5411\u4e2d\u5fc3\u6027\u8ba1\u7b97\u4ece\u7ed9\u5b9a\u9876\u70b9\u5f00\u59cb\/\u7ed3\u675f\u7684\u6b65\u6570\u3002\u5ea6\u4e2d\u5fc3\u6027\u548c\u7279\u5f81\u5411\u91cf\u4e2d\u5fc3\u6027\u662f\u5f84\u5411\u4e2d\u5fc3\u6027 Radial centralities\u7684\u4f8b\u5b50\uff0c\u8ba1\u7b97\u957f\u5ea6\u4e3a\u4e00\u6216\u65e0\u7a77\u5927\u7684\u6b65\u6570\u3002\u4e2d\u95f4\u4e2d\u5fc3\u6027 Medial centralities\u8ba1\u7b97\u901a\u8fc7\u7ed9\u5b9a\u9876\u70b9\u7684\u6b65\u6570\u3002\u5178\u578b\u7684\u4f8b\u5b50\u662fFreeman\u7684\u4e2d\u4ecb\u4e2d\u5fc3\u6027 Betweenness centrality\uff0c\u5373\u901a\u8fc7\u7ed9\u5b9a\u9876\u70b9\u7684\u6700\u77ed\u8def\u5f84\u7684\u6570\u91cf\u3002<\/span><\/p>\n


\u540c\u6837\u5730\uff0c\u8ba1\u6570\u53ef\u4ee5\u8bb0\u5f55\u884c\u8d70\u7684\u6570\u91cf\u6216\u957f\u5ea6\u3002\u91cf\u662f\u7ed9\u5b9a\u7c7b\u578b\u7684\u603b\u6b65\u6570\u3002\u4e0a\u4e00\u6bb5\u7684\u4e09\u4e2a\u4f8b\u5b50\u5c31\u5c5e\u4e8e\u8fd9\u4e00\u7c7b\u3002\u957f\u5ea6\u5219\u7ed9\u51fa\u4ece\u7ed9\u5b9a\u9876\u70b9\u5230\u56fe\u4e2d\u5176\u4f59\u9876\u70b9\u7684\u8ddd\u79bb\u3002Freeman\u7684\u63a5\u8fd1\u4e2d\u5fc3\u6027 Closeness centrality\uff0c\u5373\u4ece\u4e00\u4e2a\u7ed9\u5b9a\u9876\u70b9\u5230\u6240\u6709\u5176\u4ed6\u9876\u70b9\u7684\u603b\u6d4b\u5730\u7ebf\u8ddd\u79bb\uff0c\u662f\u6700\u8457\u540d\u7684\u4f8b\u5b50\u3002\u8bf7\u6ce8\u610f\uff0c\u8fd9\u79cd\u5206\u7c7b\u72ec\u7acb\u4e8e\u6b65\u884c\u8ba1\u6570\u7684\u7c7b\u578b\uff08\u5373\uff1a\u6b65\u884c\uff0c\u5c0f\u9053\uff0c\u8def\u5f84\uff0c\u6d4b\u5730\u7ebf\uff09\u3002<\/span><\/p>\n


Borgatti\u548cEverett\u63d0\u51fa\uff0c\u8fd9\u79cd\u7c7b\u578b\u4e3a\u5982\u4f55\u6700\u597d\u5730\u6bd4\u8f83\u4e2d\u5fc3\u6027\u5ea6\u91cf\u63d0\u4f9b\u4e86\u89c1\u89e3\u3002\u5728\u8fd9\u4e2a2\u00d72\u5206\u7c7b\u4e2d\uff0c\u653e\u5728\u540c\u4e00\u76d2\u5b50\u4e2d\u7684\u4e2d\u5fc3\u6027\u8db3\u591f\u76f8\u4f3c\uff0c\u53ef\u4ee5\u505a\u51fa\u5408\u7406\u7684\u9009\u62e9; \u4eba\u4eec\u53ef\u4ee5\u5408\u7406\u5730\u6bd4\u8f83\u54ea\u4e2a\u5bf9\u4e8e\u7ed9\u5b9a\u7684\u5e94\u7528\u66f4\u597d\u3002\u7136\u800c\uff0c\u4e0d\u540c\u76d2\u5b50\u4e2d\u7684\u5ea6\u91cf\u65b9\u6cd5\u662f\u622a\u7136\u4e0d\u540c\u7684\u3002\u53ea\u6709\u5728\u9884\u5148\u786e\u5b9a\u54ea\u4e2a\u7c7b\u522b\u66f4\u9002\u7528\u7684\u60c5\u51b5\u4e0b\uff0c\u5bf9\u76f8\u5bf9\u9002\u5e94\u6027\u7684\u8bc4\u4f30\u624d\u4f1a\u53d1\u751f\uff0c\u8fd9\u4f7f\u5f97\u6bd4\u8f83\u53d8\u5f97\u6beb\u65e0\u610f\u4e49\u3002<\/span><\/p>\n


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\u5149\u8c31\u4e0a\u5b58\u5728\u7684\u5f84\u5411\u91cf\u4e2d\u5fc3<\/span><\/strong><\/span><\/h3>\n

\u6b65\u884c\u7ed3\u6784\u7684\u7279\u5f81\u8868\u660e\uff0c\u51e0\u4e4e\u6240\u6709\u5e7f\u6cdb\u4f7f\u7528\u7684\u4e2d\u5fc3\u6027\u90fd\u662f\u5f84\u5411\u91cf\u7684\u8861\u91cf\u3002\u8fd9\u5f97\u51fa\u7ed3\u8bba\u9876\u70b9\u7684\u4e2d\u5fc3\u6027\u662f\u4e0e\u4e4b\u76f8\u5173\u8054\u7684\u9876\u70b9\u4e2d\u5fc3\u6027\u7684\u51fd\u6570\u3002\u4e2d\u5fc3\u6027\u6839\u636e\u5982\u4f55\u5b9a\u4e49\u5173\u8054\u800c\u4e0d\u540c\u3002<\/span><\/p>\n


Bonacich\u6307\u51fa\uff0c\u5982\u679c\u8054\u60f3\u662f\u6839\u636e\u884c\u8d70\u6765\u5b9a\u4e49\u7684\uff0c\u90a3\u4e48\u53ef\u4ee5\u6839\u636e\u8003\u8651\u7684\u884c\u8d70\u957f\u5ea6\u6765\u5b9a\u4e49\u4e00\u4e2a\u4e2d\u5fc3\u6027\u5bb6\u65cf\u3002\u5ea6\u4e2d\u5fc3\u6027\u8ba1\u7b97\u957f\u5ea6\u4e3a1\u7684\u884c\u8d70\uff0c\u7279\u5f81\u5411\u91cf\u4e2d\u5fc3\u6027\u8ba1\u7b97\u957f\u5ea6\u4e3a\u65e0\u7a77\u5927\u7684\u884c\u8d70\u3002\u5173\u8054\u7684\u5176\u4ed6\u5b9a\u4e49\u4e5f\u662f\u5408\u7406\u7684\u3002\u963f\u5c14\u6cd5\u4e2d\u5fc3\u6027 Alpha centrality\u5141\u8bb8\u9876\u70b9\u6709\u4e00\u4e2a\u5916\u90e8\u5f71\u54cd\u6e90\u3002Estrada\u7684\u5b50\u56fe\u4e2d\u5fc3\u6027 Subgraph centrality\u63d0\u51fa\u53ea\u8ba1\u7b97\u5c01\u95ed\u8def\u5f84\uff08\u4e09\u89d2\u5f62\u3001\u6b63\u65b9\u5f62\u7b49\uff09\u3002<\/span><\/p>\n


\u8fd9\u4e9b\u5ea6\u91cf\u65b9\u6cd5\u7684\u6838\u5fc3\u662f\u8fd9\u79cd\u73b0\u8c61\uff1a\u56fe\u4e2d\u90bb\u63a5\u77e9\u9635\u7684\u5e42\u7ed9\u51fa\u4e86\u7531\u8be5\u5e42\u7ed9\u51fa\u7684\u6b65\u957f\u7684\u6570\u76ee\u3002\u540c\u6837\uff0c\u77e9\u9635\u6307\u6570\u4e5f\u4e0e\u7ed9\u5b9a\u6b65\u957f\u7684\u6570\u76ee\u5bc6\u5207\u76f8\u5173\u3002\u90bb\u63a5\u77e9\u9635\u7684\u521d\u59cb\u8f6c\u6362\u5141\u8bb8\u5bf9\u6b65\u884c\u8ba1\u6570\u7684\u7c7b\u578b\u8fdb\u884c\u4e0d\u540c\u7684\u5b9a\u4e49\u3002\u65e0\u8bba\u91c7\u7528\u54ea\u79cd\u65b9\u6cd5\uff0c\u9876\u70b9\u7684\u4e2d\u5fc3\u6027\u90fd\u53ef\u4ee5\u8868\u793a\u4e3a\u65e0\u7a77\u548c<\/span><\/p>\n


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\u77e9\u9635\u5e42\u6216\u8005<\/span><\/p>\n


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\u77e9\u9635\u6307\u6570\uff0c\u5176\u4e2d<\/span><\/p>\n