{"id":26619,"date":"2021-05-31T21:37:07","date_gmt":"2021-05-31T13:37:07","guid":{"rendered":"https:\/\/swarma.org\/?p=26619"},"modified":"2021-05-31T21:37:07","modified_gmt":"2021-05-31T13:37:07","slug":"%e7%bd%91%e7%bb%9c%e8%8a%82%e7%82%b9%e7%bb%84%e9%87%8d%e8%a6%81%e6%80%a7%e6%8c%87%e6%a0%87%ef%bc%9a%e5%88%a0%e5%90%8e%e7%9f%a9%e9%98%b5%e6%9c%80%e5%b0%8f%e7%89%b9%e5%be%81%e5%80%bc","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=26619","title":{"rendered":"\u7f51\u7edc\u8282\u70b9\u7ec4\u91cd\u8981\u6027\u6307\u6807\uff1a\u5220\u540e\u77e9\u9635\u6700\u5c0f\u7279\u5f81\u503c"},"content":{"rendered":"
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1. \u5355\u4e2a\u8282\u70b9\u7684\u91cd\u8981\u6027\u6392\u5e8f\u65b9\u6cd5<\/strong><\/strong><\/p>\n<\/section>\n

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\u76ee\u524d\u5bf9\u4e8e\u5355\u4e2a\u8282\u70b9\u7684\u91cd\u8981\u6027\u6392\u5e8f\u6709\u4e0d\u5c11\u65b9\u6cd5\uff0c\u8b6c\u5982\u8282\u70b9\u7684\u5ea6\uff08degree\uff09<\/strong>\uff0c\u5373\u8282\u70b9\u7684\u8fde\u8fb9\u6570\uff0c\u4e00\u822c\u8ba4\u4e3a\u5ea6\u6570\u9ad8\u7684\u8282\u70b9\u4e0e\u66f4\u591a\u7684\u8282\u70b9\u94fe\u63a5\uff0c\u6240\u4ee5\u6bd4\u8f83\u91cd\u8981\uff0c\u4f46\u662f\u540e\u6765<\/span>\u53d1\u73b0\u8282\u70b9\u5ea6\u6570\u9ad8\u7684\u8282\u70b9\u672a\u5fc5\u91cd\u8981\uff0c\u8981\u770b\u8282\u70b9\u662f\u4e0d\u662f\u5904\u4e8e\u7f51\u7edc\u7684\u6838\u5fc3\u4f4d\u7f6e\uff0c\u4eba\u4eec\u5f15\u5165\u4e86\u4e2d\u5fc3\u5ea6\uff08K-shell\uff09<\/strong>\u548c\u6838\u6570<\/strong>\u6982\u5ff5[1]\uff0c\u7f51\u7edc\u7684\u5916\u58f3\u548c\u8fb9\u7f18\u7684Ks\u4e3a1\uff0c\u7f51\u7edc\u7684\u6838\u5fc3K-shell\u503c\u5927, Ks\u8d8a\u9ad8\u5c31\u8bf4\u660e\u8fd9\u4e2a\u8282\u70b9\u66f4\u9760\u8fd1\u7f51\u7edc\u6838\u5fc3\uff0c\u6240\u4ee5\u8d8a\u91cd\u8981\u8d8a\u5177\u6709\u5f71\u54cd\u529b\u3002\u5ea6\u5927\u7684\u8282\u70b9k-shell\u4e0d\u4e00\u5b9a\u5927\uff0c\u5982\u56fe1\u3002<\/span><\/section>\n

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\u8282\u70b9\u4ecb\u6570\uff08betweenness\uff09<\/strong>\u4e5f\u662f\u8861\u91cf\u8282\u70b9\u91cd\u8981\u6027\u7684\u6307\u6807[2]<\/span>\uff0c\u5b83\u6307\u901a\u8fc7\u8be5\u8282\u70b9\u6700\u77ed\u8def\u5f84\u7684\u6570\u76ee,\u53cd\u6620\u4e86\u8282\u70b9\u5728\u7f51\u7edc\u4e2d\u7684\u67a2\u7ebd\u6027\u3002\u8282\u70b9\u4ecb\u6570\u8d8a\u5927, \u8bf4\u660e\u5220\u9664\u8fd9\u6837\u7684\u8282\u70b9\u4f1a\u9020\u6210\u5927\u91cf\u8282\u70b9\u5bf9\u4e4b\u95f4\u7684\u6700\u77ed\u8def\u5f84\u53d8\u957f\u3002\u5ea6\u5927\u7684\u8282\u70b9\u4ecb\u6570\u4e0d\u4e00\u5b9a\u5927\uff0c\u5ea6\u5c0f\u7684\u8282\u70b9\u4ecb\u6570\u4e5f\u4e0d\u4e00\u5b9a\u5c0f\uff0c\u5982\u56fe2\u3002\u800c\u5728\u641c\u7d22\u5f15\u64ce\u4e2d\u7f51\u9875\u7684\u91cd\u8981\u6027\u901a\u8fc7PageRank \u7b97\u6cd5<\/strong>\uff0c\u5b83\u7684\u57fa\u672c\u601d\u60f3\u5c31\u662f\u7531\u8f83\u591a\u91cd\u8981\u7684\u7f51\u9875\u94fe\u63a5\u7684\u7f51\u9875\u5fc5\u5b9a\u662f\u91cd\u8981\u7684\u7f51\u9875[3]<\/span>\uff0cGoogle \u7684\u6210\u529f\u5f88\u5927\u7a0b\u5ea6\u4e0a\u51b3\u5b9a\u4e8e\u7f51\u9875\u6392\u5e8f\u7684PageRank \u7b97\u6cd5\u3002\u53e6\u5916\uff0c\u5728\u8bc4\u4ef7\u7814\u7a76\u8005\u5b66\u672f\u5f71\u54cd\u529b\u4e2d\u6709H-index<\/strong>[4]\uff0c\u5373\u9ad8\u88ab\u5f15\u6587\u7ae0\u6570\uff0c\u4f60\u7684\u5f15\u7528\u6570\u5c31\u662f\u4f60\u7684\u5ea6\uff0c\u5f15\u7528\u4f60\u670b\u53cb\u4e2d\u81f3\u5c11\u4e0e\u4f60\u4e00\u6837\u5389\u5bb3\u7684\u4eba\u6570\u5c31\u662f\u4f60\u7684\u4e00\u9636 H-index\uff0c\u5982\u56fe3\uff0c\u4e8c\u9636H-index\u5c31\u662f\u4f60\u670b\u53cb\u4e2d\u4e00\u9636 H-index\u6bd4\u4f60\u9ad8\u7684\u4eba\u6570, \u6240\u4ee5H-index\u53cd\u6620\u5f15\u7528\u4f60\u7684\u4eba\u4e2d\u9ad8\u88ab\u5f15\u6570\u9ad8\u4e0d\u9ad8\uff0c\u8fd9\u6bd4\u5355\u7eaf\u770b\u6587\u7ae0\u6570\u76ee\u66f4\u53cd\u6620\u5b66\u672f\u5f71\u54cd\u529b\u3002<\/span>[5]<\/span>\u5b9a\u4e49\u4e00\u4e2a\u7b97\u5b50<\/span>H\uff0c<\/span>\u5728<\/span>H\u7b97\u5b50\u4f5c\u7528<\/span>\u4e0b<\/span>\u5f97\u5230<\/span>H2<\/span>\uff0c<\/span>H3\u6307\u6570\uff0c\u4f9d\u6b21\u7c7b\u63a8<\/span>\uff0c<\/span>\u6700\u540e\u6536\u655b\u5230\u6838\u6570\u3002<\/span>\u4ece\u800c<\/span>\u4e09\u4e2a\u8282\u70b9\u5ea6\u91cf\u6307\u6807\uff1a<\/span>\u5ea6\u3001<\/span>H\u6307\u6570\u548c\u6838\u6570\uff0c\u53ef\u4ee5\u901a\u8fc7\u7b97\u5b50H\u8fde\u63a5\u8d77\u6765<\/span>\u4e86\u3002<\/span>[6]\u5c06\u8fd9\u4e00\u7ed3\u679c\u63a8\u5e7f\u5230\u4e86\u52a0\u6743\u7f51\u7edc<\/span>\u3002<\/span><\/section>\n

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3. \u5220\u540e\u77e9\u9635\u6700\u5c0f\u7279\u5f81\u503c<\/strong><\/strong><\/p>\n<\/section>\n

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\u6700\u8fd1\u6211\u4eec\u5728[7, 8]\u4e2d\u63d0\u51fa\u4e00\u79cd\u7f51\u7edc\u8282\u70b9\u7ec4\u91cd\u8981\u6027\u6307\u6807\u2014\u2014\u5220\u540e\u77e9\u9635\u6700\u5c0f\u7279\u5f81\u503c\u3002\u7f51\u7edc\u53ef\u4ee5\u7528Laplacian\u77e9\u9635\u8868\u793a\uff0c\u5b83\u7684\u6bcf\u4e00\u884c\u4e4b\u548c\u4e3a0\uff0c\u5bf9\u89d2\u7ebf\u5143\u7d20\u4e3a\u8282\u70b9\u7684\u5ea6\u6570\uff0c\u5982\u679c\u6211\u4eec\u5173\u5fc3\u67d0\u4e9b\u70b9\u7ec4\u6210\u7684\u8282\u70b9\u7ec4\u7684\u91cd\u8981\u6027\uff0c\u9996\u5148\u5c06Laplacian\u77e9\u9635\u5220\u53bb\u8282\u70b9\u7ec4\u5bf9\u5e94\u7684\u884c\u548c\u5217\uff0c\u4f59\u4e0b\u7684\u4e3b\u5b50\u77e9\u9635\u79f0\u4e3a\u5220\u540e\u77e9\u9635<\/span>\uff08the grounded matrix\uff09<\/span>\u3002Laplacian\u77e9\u9635\u7684\u5220\u540e\u77e9\u9635\u7279\u5f81\u503c\u5747\u4e3a\u6b63\u7684\uff0c\u6211\u4eec\u5173\u6ce8\u7684\u662f\u5176\u4e2d\u6700\u5c0f\u7279\u5f81\u503c\u3002<\/span>
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\u901a\u8fc7\u56fe5\u6211\u4eec\u5f88\u5bb9\u6613\u638c\u63e1\u4e2d\u5220\u540e\u77e9\u9635\u6700\u5c0f\u7279\u5f81\u503c\u7684\u8ba1\u7b97\u8fc7\u7a0b\u3002\u8003\u8651\u7f51\u7edc I \u548c \u7f51\u7edc II \u4e2d\u8282\u70b94\u7684\u91cd\u8981\u6027\uff0c\u9996\u5148\u5199\u51fa\u7f51\u7edc\u7684Laplacian\u77e9\u9635\uff0c\u518d\u5220\u53bb\u8282\u70b94\uff0c\u8fd9\u91cc\u867d\u7136\u5220\u540e\u7684\u56fe\u76f8\u540c\uff0c\u4f46\u662f\u5b83\u4eec\u7684\u5220\u540e\u77e9\u9635\u662f\u4e0d\u540c\u7684\uff0c\u5176\u6700\u5c0f\u7279\u5f81\u503c\u4e5f\u4e0d\u540c\uff0c\u5206\u522b\u4e3a1\u548c0.4679\uff0c\u56e0\u6b64\u8282\u70b94\u5728\u7f51\u7edc I \u4e2d\u6bd4\u5728\u7f51\u7edc II \u4e2d\u66f4\u91cd\u8981\u3002\u540c\u65f6\u6211\u4eec\u770b\u5230\uff0c\u5220\u540e\u77e9\u9635\u4fdd\u7559\u4e86\u539f\u6765\u56fe<\/span>\uff08\u77e9\u9635\uff09<\/span>\u7684\u4fe1\u606f\uff0c\u56e0\u6b64\u56fe\u7684\u8282\u70b9\u5220\u9664\u8fc7\u7a0b\u4e2d\u5bf9\u5386\u53f2\u662f\u6709\u8bb0\u5fc6\u7684\u3002
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\u56fe5<\/span><\/section>\n

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4. \u5220\u540e\u77e9\u9635\u6700\u5c0f\u7279\u5f81\u503c\u662f\u8282\u70b9\u7ec4\u91cd\u8981\u6027\u6307\u6807<\/strong><\/strong><\/p>\n<\/section>\n

\n

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<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n


<\/p>\n

\u4ece\u52a8\u6001\u7f51\u7edc\u7684\u7275\u5236\u63a7\u5236\u65b9\u7a0b<\/strong>\u51fa\u53d1<\/span><\/section>\n

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\u8003\u8651\u7f51\u7edc\u81ea\u9002\u5e94\u53cd\u9988\u7275\u5236\u63a7\u5236<\/span>\u4e2a\u8282\u70b9[7<\/span>]<\/span><\/span><\/section>\n

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\u5f97\u5230\u7275\u5236\u63a7\u5236\u6210\u529f\u7684\u4e00\u4e2a\u91cd\u8981\u7684\u5145\u5206\u6761\u4ef6<\/strong> <\/span>\uff0c\u4e0d\u7b49\u5f0f\u5de6\u8fb9\u662f\u5220\u540e\u77e9\u9635\u6700\u5c0f\u7279\u5f81\u503c\uff0c\u53f3\u8fb9\u5e38\u6570<\/span>\u03b1<\/span>\u7531\u52a8\u529b\u5b66f\u548c\u5185\u8fde\u77e9\u9635P\u51b3\u5b9a\uff0cc\u662f\u7f51\u7edc\u7684\u8026\u5408\u5f3a\u5ea6\u3002\u5bf9\u4e8e\u7f51\u7edc\u7ebf\u6027\u53cd\u9988\u7275\u5236\u63a7\u5236\u95ee\u9898\u540c\u6837\u4e5f\u6709\u4e0a\u8ff0\u7ed3\u679c\u3002\u6240\u4ee5\uff0c\u4e0d\u7b49\u5f0f<\/span>\u8868\u660e\u5220\u540e\u4e3b\u5b50\u77e9\u9635\u6700\u5c0f\u7279\u5f81\u503c\u662f\u7275\u5236\u63a7\u5236\u7684\u5173\u952e\uff0c\u5b83\u7684\u503c\u8d8a\u5927\u8868\u793a\u7275\u5236\u7684\u8282\u70b9\u8d8a\u91cd\u8981\uff0c\u56e0\u6b64\u5220\u540e\u77e9\u9635\u6700\u5c0f\u7279\u5f81\u503c\u6210\u4e3a\u8282\u70b9\u7ec4\u91cd\u8981\u6027\u7684\u6307\u6807<\/strong>\u3002[8<\/span>]<\/span><\/span><\/section>\n

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\u6587\u732e[8]\u8fd8\u5229\u7528200\u5e74\u524d\u8457\u540d\u7684Cauchy \u7279\u5f81\u503c\u4ea4\u53c9\u5b9a\u7406<\/strong>[10]\u51fa\u53d1\uff0c\u5f97\u5230\u4e86\u6709\u5173\u5220\u540e\u77e9\u9635\u6700\u5c0f\u7279\u5f81\u503c\u7684\u51e0\u4e2a\u91cd\u8981\u6027\u8d28\u548c\u4f30\u8ba1\u5f0f<\/strong>\u3002\u8b6c\u5982\uff1a\u8003\u8651\u4e00\u4e2a\u8282\u70b9\u65f6\u5176\u5220\u540e\u4e3b\u5b50\u77e9\u9635\u6700\u5c0f\u7279\u5f81\u503c\u4e0d\u8d85\u8fc71\uff1b\u4e00\u822c\u60c5\u51b5\u4e0b\u5220\u540e\u4e3b\u5b50\u77e9\u9635\u7684\u6700\u5c0f\u7279\u5f81\u503c\u6709\u4e00\u4e2a\u4e0a\u754c\u2014\u2014\u8282\u70b9\u7ec4\u5916\u4e0e\u8282\u70b9\u7ec4\u8fde\u63a5\u7684\u5e73\u5747\u8fb9\u6570\uff0c\u7531\u4e8e\u8fd9\u4e2a\u4e0a\u754c\u53ea\u4e0e\u5ea6\u6709\u5173\uff0c\u6240\u4ee5\u5b83\u4e5f\u662f\u540e\u9762\u8fc7\u6ee4\u7b97\u6cd5\u7684\u4e00\u4e2a\u4e3b\u8981\u4f9d\u636e\u3002\u53e6\u5916\uff0c\u5220\u540e\u4e3b\u5b50\u77e9\u9635\u7684\u6700\u5c0f\u7279\u5f81\u503c\u4e0d\u4f1a\u8d85\u8fc7\u8282\u70b9\u7ec4\u5916\u7684\u8282\u70b9\u7684\u5ea6\u6570<\/strong>\uff0c\u8fd9\u4e00\u6027\u8d28\u53ef\u4ee5\u6e05\u695a\u5730\u89e3\u91ca\u5728\u5927\u89c4\u6a21\u7f51\u7edc\u4e2d\uff0c\u7275\u5236\u63a7\u5236\u4e2d\u7a76\u7adf\u4f18\u5148\u63a7\u5236\u5ea6\u5927\u8fd8\u662f\u5ea6\u5c0f\u8282\u70b9\u7684\u95ee\u9898\u53d6\u51b3\u4e8e\u63a7\u5236\u8282\u70b9\u7684\u6bd4\u4f8b\uff0c\u5f53\u7275\u5236\u8282\u70b9\u6570\u76ee\u8f83\u5c11\u65f6\u5e94\u4f18\u5148\u7275\u5236\u63a7\u5236\u5ea6\u5927\u8282\u70b9\u4e3a\u4e3b\uff0c\u800c\u5728\u7275\u5236\u8282\u70b9\u6570\u76ee\u5f88\u5927\u65f6\u6070\u6070\u76f8\u53cd\uff0c\u5e94\u4f18\u5148\u7275\u5236\u63a7\u5236\u5ea6\u5c0f\u8282\u70b9\u4e3a\u4e3b\u3002\u56fe6\u6a2a\u5750\u6807\u8868\u793a\u7275\u5236\u63a7\u5236\u8282\u70b9\u6570\u76ee\uff0c\u7eb5\u5750\u6807\u8868\u793a\u5220\u540e\u77e9\u9635\u6700\u5c0f\u7279\u5f81\u503c\uff0c\u56fe6\uff08a\uff09\u662fN=1000\u7684BA\u7f51\u7edc,\u6700\u5927\u5ea6113,\u6700\u5c0f\u5ea65\uff0c\uff08b\uff09\u662fN=1000\u7684NW\u7f51\u7edc,\u6700\u5927\u5ea619\uff0c\u6700\u5c0f\u5ea64\u3002\u5176\u4e2d\u53c2\u6570q\u5bf9\u5e94\u7684\u4e0d\u540c\u989c\u8272\u8868\u793a\u5ea6\u5927\u8282\u70b9\u6240\u5360\u7684\u6bd4\u4f8b\uff0cq=1\u548cq=0\u5206\u522b\u8868\u793a\u4e25\u683c\u4ece\u5ea6\u5927\u548c\u4ece\u5ea6\u5c0f\u4f18\u5148\u63a7\u5236\u3002\u4ece\u56fe\u4e2d\u770b\u51fa\uff0c\u5728\u63a7\u5236\u8282\u70b9\u8f83\u5c11\u65f6\u5e94\u63a7\u5236\u5ea6\u5927\u8282\u70b9\uff0c\u624d\u80fd\u591f\u4fdd\u8bc1\u5220\u540e\u77e9\u9635\u6700\u5c0f\u7279\u5f81\u503c\u6bd4\u8f83\u5927\uff0c\u800c\u5728\u63a7\u5236\u8282\u70b9\u8f83\u591a\u65f6\u6070\u6070\u76f8\u53cd\uff0c\u53ea\u6709\u63a7\u5236\u5ea6\u5c0f\u8282\u70b9\u624d\u80fd\u591f\u4fdd\u8bc1\u5220\u540e\u77e9\u9635\u6700\u5c0f\u7279\u5f81\u503c\u6bd4\u8f83\u5927\u3002<\/span><\/section>\n

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\u56fe6<\/span><\/section>\n

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5. \u5927\u89c4\u6a21\u7f51\u7edc\u5220\u540e\u77e9\u9635\u6700\u5c0f\u7279\u5f81\u503c\u7b97\u6cd5<\/strong><\/strong><\/p>\n<\/section>\n

\n

<\/section>\n

<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n


<\/p>\n

\u5b9e\u9645\u7f51\u7edc\u7684\u89c4\u6a21\u4e00\u822c\u90fd\u6bd4\u8f83\u5927\uff0c\u8981\u679a\u4e3e\u5730\u8ba1\u7b97\u6240\u6709\u53ef\u80fd\u7684\u5220\u540e\u77e9\u9635\u6700\u5c0f\u7279\u5f81\u503c\uff0c\u7136\u540e\u6bd4\u8f83\u54ea\u4e2a\u6700\u5927\u4ece\u800c\u786e\u5b9a\u6700\u91cd\u8981\u7684\u8282\u70b9\u7ec4\uff0c\u5219\u662f\u4e00\u4e2aNP-hard\u95ee\u9898\uff0c\u4e3a\u6b64\u6839\u636e[8]\u4e2d\u7684\u4e00\u4e2a\u4e0d\u7b49\u5f0f<\/span><\/span>\uff08\u5373\u5220\u540e\u4e3b\u5b50\u77e9\u9635\u7684\u6700\u5c0f\u7279\u5f81\u503c\u4e0d\u8d85\u8fc7\u8282\u70b9\u7ec4\u5916\u7684\u8282\u70b9\u4e0e\u8282\u70b9\u7ec4\u7684\u5e73\u5747\u8fde\u8fb9\u6570\uff09<\/span>\uff0c\u6211\u4eec\u63d0\u51fa\u4e00\u79cd\u7b5b\u9009\u7b97\u6cd5<\/strong>[9]\uff0c\u5927\u5927\u51cf\u5c0f\u4e86\u8ba1\u7b97\u91cf\u3002<\/span><\/section>\n

<\/span><\/section>\n
\u4f8b 1 <\/span><\/strong> N= 1000,  q= 5 \u7684 BA \u65e0\u6807\u5ea6\u7f51\u7edc\uff0c\u89c1\u56fe7\u3002<\/span><\/section>\n

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\u7275\u5236\u63a7\u5236\u4e24\u4e2a\u8282\u70b9<\/span>\uff08\u5373\u786e\u5b9a\u6700\u91cd\u8981\u76842\u4e2a\u8282\u70b9\uff09<\/span>\uff0c\u5982\u679c\u679a\u4e3e\u6cd5\u9700\u8ba1\u7b97998\u9636\u77e9\u9635\u7684\u6700\u5c0f\u7279\u5f81\u503c\uff0c\u5171\u8ba1\u7b97499500\u6b21\uff01\u6839\u636e\u7b5b\u9009\u7b97\u6cd5\u53ea\u8981\u8ba1\u7b9721\u6b21\u3002<\/span><\/section>\n

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\u7275\u5236\u63a7\u5236\u4e09\u4e2a\u8282\u70b9\uff0c\u5982\u679c\u679a\u4e3e\u6cd5\u9700\u8ba1\u7b97997\u9636\u77e9\u9635\u7684\u6700\u5c0f\u7279\u5f81\u503c\uff0c\u5171166167000\u6b21\uff01\u6839\u636e\u7b5b\u9009\u7b97\u6cd5\u53ea\u8981\u8ba1\u7b97120\u6b21\u3002<\/span><\/section>\n

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\u56fe7<\/span><\/section>\n

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6. \u4e0e\u5176\u4ed6\u7b97\u6cd5\u7684\u6bd4\u8f83<\/strong><\/strong><\/p>\n<\/section>\n

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<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n


<\/p>\n

\u4f8b 2 <\/span><\/strong>\u5229\u7528Dolphi<\/strong><\/span>n \u7f51\u7edc<\/strong>\u5b9e\u9645\u6570\u636e\uff0c\u9009\u7528\uff1a1)\u5ea6\u9009<\/span>\u70b9\uff0c2)BC(betweenness centrality)\uff0c3)K-shell \u7b97\u6cd5\uff0c4)<\/span><\/span>\u6700\u8fd1\u63d0\u51fa\u7684\u57fa\u4e8eESI \u6307\u6807\u7684\u7b97\u6cd5\uff0c\u4e0e5)\u5220\u540e\u77e9\u9635\u6700\u5c0f\u7279\u5f81\u503c\u7b5b\u9009\u7b97\u6cd5[9]\u6bd4\u8f83\u5982\u4e0b\uff1a<\/span><\/span><\/section>\n

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\u88681<\/span><\/section>\n

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\u56fe8<\/span><\/section>\n

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\u4f8b 3 <\/strong>\u5229\u7528Email\u7f51\u7edc<\/strong>\u5b9e\u9645\u6570\u636e\u6bd4\u8f83\u5982\u4e0b\uff1a<\/span><\/section>\n

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\u4ece\u8fd9\u4e24\u4e2a\u5b9e\u9645\u7f51\u7edc\u6570\u636e\u7684\u4e0d\u540c\u9009\u70b9\u65b9\u6cd5\u6bd4\u8f83\u53ef\u89c1\uff0c\u5220\u540e\u77e9\u9635\u6700\u5c0f\u7279\u5f81\u503c\u7b5b\u9009\u7b97\u6cd5\u6709\u660e\u663e\u7684\u4f18\u52bf\u3002<\/span><\/section>\n

<\/span><\/section>\n
\u6ce8\uff1aDolphin \u7f51\u7edc\u53ca Email \u7f51\u7edc\u6570\u636e\u6765\u81ea\uff1a<\/span><\/section>\n
[Physicians  network  dataset,  KONECT  http:\/\/konect.uniko blenz.de\/networks\/ [2017.9.9]<\/span><\/section>\n

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7. \u5176\u4ed6\u5e94\u7528\u5b9e\u4f8b<\/strong><\/strong><\/p>\n<\/section>\n

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<\/section>\n

<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n


<\/p>\n

\u4f8b 4 <\/span><\/strong>\u4e00\u6839\u6c34\u5e73\u6a11\u5982\u4f55\u9009\u62e9\u4e24\u4e2a\u57fa\u70b9\u5c06\u5b83\u540a\u8d77,\u5047\u8bbe\u6a11\u957f\u5ea6\u4e3a 1\uff0c\u7136\u540e\u4f5c\u7ec6\u7b49\u5206<\/span>\uff08\u53ea\u8981\u7ec6\u5206\u8db3\u591f\u5bc6\uff0c\u79bb\u6563\u7f51\u7edc\u7684\u8282\u70b9\u7ec4\u6392\u5e8f\u53ef\u903c\u8fd1\u8fde\u7eed\u95ee\u9898\u7684\u57fa\u70b9\u9009\u62e9\uff09<\/span>\uff0c\u5206\u70b9\u89c6\u4e3a\u8282\u70b9\uff0c\u4fbf\u6210\u4e3a\u4e00\u4e2a\u94fe\u72b6\u7f51\u7edc\u3002\u8bbeN= 82\uff0c\u6839\u636e\u5bf9\u79f0\u6027\uff0c\u7b2c\u4e00\u4e2a\u57fa\u70b9\u8282\u70b9\u4ece\u8282\u70b91\u523041\u4e2d\u9009\uff0c\u53e6\u4e00\u4e2a\u4ece82\u523042\u4e2d\u9009\u3002\u5f53\u4e24\u4e2a\u8282\u70b9\u9009\u53d6(21,62)\u65f6\u7279\u5f81\u503c\u53d6\u5f97\u6700\u5927\u503c\u3002\u5f53\u4e24\u4e2a\u8282\u70b9\u90fd\u53d6\u4e24\u7aef(1,82)\u6216\u8005\u4e2d\u95f4(41,42)\u65f6\uff0c\u5220\u540e\u77e9\u9635\u6700\u5c0f\u7279\u5f81\u503c\u8fbe\u6700\u5c0f\u503c\u3002\u4e5f\u5c31\u662f\u8bf4\u5bf9\u4e8e\u94fe\u72b6\u56fe\u6700\u4f18\u8282\u70b9\u63a5\u8fd1\u57281\/4\u548c3\/4\u7684\u4f4d\u7f6e\u3002<\/span><\/section>\n

\u5982\u679c\u53d6N=302\u7684\u94fe\uff0c\u7ecf\u8ba1\u7b97\u6700\u4f18\u8282\u70b9\u4e3a\uff0876,227)\uff0c\u4e5f\u7b26\u5408\u4e0a\u8ff01\/4\u548c3\/4\u7684\u89c4\u5f8b\u3002<\/span><\/section>\n

<\/span><\/section>\n
\u4f8b 5<\/span><\/strong> \u5bfb\u627e\u6b63\u65b9\u5f62\u4e2d\u6700\u91cd\u8981\u76842\u4e2a\u548c4\u4e2a\u8282\u70b9\u3002<\/span><\/section>\n

<\/span><\/section>\n

<\/section>\n
\u56fe10<\/span><\/section>\n

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\u4f8b 6 <\/span><\/strong> \u6bd4\u8f83\u4e09\u4e2a\u793e\u56e2\u5728\u7f51\u7edc\u4e2d\u7684\u91cd\u8981\u6027<\/span><\/section>\n

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\u7ea2\u8272 8\u4e2a\u8282\u70b9\uff0c\u84dd\u8272 7 \u4e2a\u8282\u70b9\uff0c\u7eff\u8272 6 \u4e2a\u8282\u70b9\u3002\u5b83\u4eec\u7684 Laplacian \u77e9\u9635\u7684\u5220\u540e\u4e3b\u5b50\u77e9\u9635\u6700\u5c0f\u7279\u5f81\u503c\u5206\u522b\u4e3a 0.1905,0.1792,0.1597\uff0c\u8bf4\u660e\u7ea2\u8272\u7ec4\u6700\u91cd\u8981\uff0c\u5176\u6b21\u4e3a\u84dd\u8272\uff0c\u6700\u540e\u4e3a\u7eff\u8272\u3002<\/span><\/section>\n

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\u53c2\u8003\u6587\u732e\uff1a<\/span><\/strong><\/span><\/section>\n

[1] M. Kitsak, L. K. Gallos, S. Havlin, F. Liljeros, L. Muchnik, H. E. Stanley, and H. A. Makse, \u201cIdentifification of <\/span>influential <\/span>spreaders in complex networks,\u201d Nature Physics, vol. 6, no. 11, pp. 888\u2013893, 2010<\/span><\/p>\n

[2] L. C. Freeman, \u201cA set of measures of centrality based on betweenness.\u201d Sociometry, vol. 40, no. 1, pp. 35\u201341, 1977.<\/span><\/p>\n

[3] K. Bryan and T. Leise, \u201cThe $ 25,000,000,000 eigenvector: The linear algebra behind google,\u201d SIAM Review, vol. 48, no. 3, pp. 569\u2013581, 2010<\/span><\/p>\n

[4] Hirsch, J. E. (2005). An index toquantify an individual’s scientific research output. Proceedings of theNational academy of Sciences of the United States of America, 102(46),16569-16572.<\/span><\/p>\n

[5] L. L\u00fc, T. Zhou, Q.-M. Zhang, H. E. Stanley, The H-index of a network nodeand its relation to degree and coreness, Nature Communication 7 (2016) 10168<\/span><\/p>\n

[6] Xiaoqun Wu , Wenbin Wei, Longkun Tang , Jun\u2019an Lu, and Jinhu L\u00fc ,Coreness and h-Index for Weighted Networks, Transactions on Circuits and Systems\u2013I: Regular Papers, VOL. 66, NO. 8, AUGUST 2019, 3113-3122<\/span><\/p>\n

[7] Jin Zhou, Jun-an Lu and Jinhu L\u00fc, \u201cPinning Adaptive Synchronization of A General Complex Dynamical Network,\u201d Automatica, vol. 44, no. 4, pp. 996-1003, 2008.<\/span><\/p>\n

[8]Hui Liu , Xuanhong Xu, Jun-An Lu, Guanrong Chen , and Zhigang Zeng \uff0cOptimizing Pinning Control of Complex Dynamical Networks Based on Spectral Properties of Grounded Laplacian Matrices\uff0cIEEE TRANSACTIONS ON SYSTEMS, MAN, AND CYBERNETICS: SYSTEMS, VOL. 51, NO. 2,786-796  2021<\/span><\/p>\n

[9]\u5218\u6167\uff0c\u738b\u70b3\u73fa\uff0c\u9646\u541b\u5b89\uff0c\u674e\u589e\u626c\uff0c\u590d\u6742\u7f51\u7edc\u7275\u5236\u63a7\u5236\u4f18\u5316\u9009\u70b9\u7b97\u6cd5\u53ca\u8282\u70b9\u7ec4\u91cd\u8981\u6027\u6392\u5e8f\uff0c\u7269\u7406\u5b66\u62a5 Acta Phys. Sin. Vol. 70, No. 5 (2021) 056401   <\/span><\/p>\n

[10]R. B. Bapat, Graphs and Matrices. New Delhi, India: Hindustan Book Agency & Springer, 2010<\/span><\/p>\n

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