{"id":43974,"date":"2023-07-25T21:39:16","date_gmt":"2023-07-25T13:39:16","guid":{"rendered":"https:\/\/swarma.org\/?p=43974"},"modified":"2023-07-25T21:39:16","modified_gmt":"2023-07-25T13:39:16","slug":"%e5%89%8d%e6%b2%bf%e8%bf%9b%e5%b1%95%ef%bc%9a%e9%ab%98%e9%98%b6%e7%bd%91%e7%bb%9c%e4%b8%ad%e7%9a%84%e5%9b%a2%e6%8e%92%e5%ba%8f","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=43974","title":{"rendered":"\u524d\u6cbf\u8fdb\u5c55\uff1a\u9ad8\u9636\u7f51\u7edc\u4e2d\u7684\u56e2\u6392\u5e8f"},"content":{"rendered":"
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Ranking cliques in higher-order complex networks<\/span><\/section>\n
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https:\/\/pubs.aip.org\/aip\/cha\/article\/33\/7\/073139\/2903051\/Ranking-cliques-in-higher-order-complex-networks<\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/blockquote>\n

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\u56e2<\/span>\uff08clique\uff09<\/span>\u662f\u7f51\u7edc\u4e2d\u5177\u6709\u7279\u5b9a\u987a\u5e8f\u7684\u5b8c\u5168\u5b50\u56fe\u3002p\u56e2<\/span>\uff08p-clique\uff09<\/span>\u7531p+1\u4e2a\u5b8c\u5168\u8054\u901a\u7684\u8282\u70b9\u7ec4\u6210\uff0c\u800c\u4e14\u8fd9p+1\u4e2a\u8282\u70b9\u7684\u6240\u6709\u5b50\u96c6\u90fd\u5305\u542b\u5728p\u56e2\u4e2d\u3002\u5176\u4e2d\u5177\u6709N\u4e2a\u8282\u70b9\u7684\u5b50\u96c6\u53eb\u505ap\u56e2\u4e2d\u7684Nsub<\/sub><\/span>\u9762(N<\/span>sub<\/sub><\/span>-face)\u3002\u6240\u6709\u7684p\u9762\u7ec4\u6210p\u56e2\u7684\u8fb9\u754c\u3002<\/span><\/section>\n

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\u5355\u7eaf\u5f62\u7f51\u7edc<\/strong><\/span>\uff08Simplicial network\uff09<\/span>\u5b9a\u4e49\u4e3a\uff1a<\/span><\/section>\n

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p,q \u56e2\u95f4\u5173\u8054\u77e9\u9635<\/strong><\/span>\uff08incidence matrix between a p-clique and a q-clique\uff09<\/span>Sp, q<\/sub><\/span>\uff08p<q\uff09\u77e9\u9635\u7684\u5927\u5c0f\u4e3aNcp<\/sub><\/span><\/span><\/span>\u00d7Ncq<\/sub><\/span><\/span>\uff0c\u5176\u4e2d\u5143\u7d20S<\/span>p, q<\/sub><\/span>=1\u4ee3\u8868p\u662fq\u7684\u5b50\u96c6\uff0c\u5426\u5219p\u4e0d\u662fq\u7684\u5b50\u96c6\u3002<\/span><\/section>\n

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n\u56e2\u7684\u90bb\u63a5\u77e9\u9635<\/strong><\/span>\uff08adjacency matrix of the n-clique\uff09<\/span><\/section>\n


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3. \u7ed3\u679c\u6bd4\u8f83<\/strong><\/strong><\/p>\n<\/section>\n

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\u4ec0\u4e48\u6837\u7684\u56e2\u7b97\u91cd\u8981\u5462\uff1f\u6838\u5fc3\u601d\u60f3\u662f\u201c\u7834\u574f\u6027\u68c0\u9a8c\u51fa\u91cd\u8981\u6027\u201d\u3002\u4ed6\u4eec\u5728\u5b9e\u9a8c\u4e2d\u7528\u56e2\u7ef4\u6301\u7f51\u7edc\u8fde\u901a\u6027\u3001\u4fbf\u4e8e\u540c\u6b65\u548c\u63a7\u5236\u4f20\u64ad\u7684\u80fd\u529b<\/strong>\u6765\u8861\u91cf\u56e2\u7684\u91cd\u8981\u6027\u3002<\/span><\/section>\n

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\u771f\u5b9e\u7f51\u7edc\u9c81\u68d2\u6027\u5206\u6790<\/strong><\/span><\/section>\n

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\u6309\u6bcf\u79cd\u65b9\u6cd5\u5bf9\u7f51\u7edc\u4e2d\u7684\u8282\u70b9\u8fdb\u884c\u6392\u5e8f\uff0c\u4ece\u7f51\u7edc\u4e2d\u53bb\u6389\u201c\u6392\u5e8f\u6700\u524d\u201d\u7684\u56e2\u3002\u7cfb\u7edf\u5d29\u6e83\u5f97\u8d8a\u5feb<\/span>\uff08\u5373\u7f51\u7edc\u9c81\u68d2\u6027R\u8f83\u4f4e\uff09<\/span>\uff0c\u8bf4\u660e\u53bb\u6389\u7684\u56e2\u8d8a\u91cd\u8981\u3002<\/span><\/section>\n

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\u56fe3. \u516b\u4e2a\u6307\u6807\u5728\u771f\u5b9e\u7f51\u7edc\u4e2d\u7684\u6e17\u6d41\u6027\u80fd\u3002y\u8f74\u8868\u793a\u53bb\u9664\u56e2\uff08\u8282\u70b9\uff09\u540e\u7684\u7f51\u7edc\u9c81\u68d2\u6027\uff0cx\u8f74\u8868\u793a\u53bb\u9664\u56e2\uff08\u8282\u70b9\uff09\u7684\u6bd4\u4f8b\u3002<\/span><\/p>\n


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\u771f\u5b9e\u4e16\u754c\u7f51\u7edc\u7684\u540c\u6b65\u5206\u6790<\/strong><\/span><\/section>\n

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\u56fe4\u663e\u793a\u4e86\u7f51\u7edc\u7684\u540c\u6b65\u6027\u5982\u4f55\u968f\u7740\u56fa\u5b9a\u8282\u70b9\uff08\u56e2\uff09\u6bd4\u4f8bp\u7684\u589e\u52a0\u800c\u964d\u4f4e\u3002\u7531\u4e8e\u5173\u952e\u7ed3\u6784\u5bf9\u7f51\u7edc\u7684\u540c\u6b65\u6027\u6709\u91cd\u5927\u5f71\u54cd\uff0c\u4f5c\u8005\u5c06\u524d30%\u7684\u56e2\u56fa\u5b9a\u5728\u7f51\u7edc\u4e2d\uff0c\u53d1\u73b0\u5f53p\u5927\u4e8e30%\u65f6\uff0c\u5e76\u4e0d\u5f71\u54cd\u7ed3\u679c\u548c\u7ed3\u8bba\u3002\u5728\u56fe2\u4e2d\uff0c\u66f4\u5feb\u7684\u8870\u51cf\u5bf9\u5e94\u66f4\u597d\u7684\u540c\u6b65\u6027\u80fd\u3002<\/span><\/section>\n

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\u56fe4. \u516b\u4e2a\u6307\u6807\u5728\u771f\u5b9e\u7f51\u7edc\u4e2d\u7684\u540c\u6b65\u6027\u80fd\u3002y\u8f74\u8868\u793a\u9489\u4f4f\u4e00\u5c0f\u90e8\u5206\u56e2\uff08\u8282\u70b9\uff09\u540e\u7684\u7f51\u7edc\u540c\u6b65\uff0cx\u8f74\u8868\u793a\u9489\u4f4f\u7684\u56e2\uff08\u8282\u70b9\uff09\u7684\u6bd4\u4f8b\u3002<\/span><\/p>\n


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\u7531\u56fe4\uff0c\u4f5c\u8005\u5206\u6790\u51fa\uff0c\u5bf9\u4e8e\u6240\u6a21\u62df\u7684\u771f\u5b9e\u7f51\u7edc\uff0c\u4f4e\u9636\u5ea6\u91cf\u7684\u5f71\u54cd\u5e76\u4e0d\u80fd\u5f88\u597d\u5730\u533a\u5206\u91cd\u8981\u7ed3\u6784\uff0c\u4f46\u9ad8\u9636\u5ea6\u91cf\u53ef\u4ee5\u3002<\/span><\/section>\n

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\u771f\u5b9e\u7f51\u7edc\u6d41\u884c\u75c5\u4f20\u64ad\u5206\u6790<\/strong><\/span><\/section>\n

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\u4e3a\u4e86\u8861\u91cf\u5404\u6307\u6807\u5bf9\u56e2\u6392\u5e8f\u7684\u6548\u7387\uff0c\u4f5c\u8005\u91c7\u7528SIS\u6a21\u578b\u6a21\u62df\u56e2\u6392\u5e8f\u5bf9\u75c5\u6bd2\u4f20\u64ad\u7684\u5f71\u54cd\u3002\u6309\u987a\u5e8f\u4ece\u7f51\u7edc\u4e2d\u9009\u62e9\u6392\u5e8f\u7684\u5c0f\u56e2\u4f53\u8fdb\u884c\u514d\u75ab\u3002\u7f51\u7edc\u7684\u53c2\u6570p\u662f\u6307\u7a33\u6001\u65f6\uff0c\u53d7\u611f\u67d3\u8282\u70b9\u7684\u6570\u91cf\u7684\u6bd4\u4f8b\u3002\u9ad8\u7684\u4f20\u64ad\u9608\u503c\u548c\u4f4e\u7684p\u503c\u5bf9\u5e94\u7740\u826f\u597d\u7684\u6027\u80fd\u3002\u4f5c\u8005\u5bf9100\u4e2a\u7f51\u7edc\u5b9e\u73b0\u8fdb\u884c\u4e86\u6240\u6709\u6a21\u62df\uff0c\u7136\u540e\u8003\u8651\u5b83\u4eec\u7684\u5e73\u5747\u503c\u3002<\/span><\/section>\n

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\u56fe5. \u6bcf\u4e00\u8861\u91cf\u6807\u51c6\u5bf9\u4f20\u67d3\u75c5\u5728\u771f\u5b9e\u7f51\u7edc\u4e2d\u4f20\u64ad\u7684\u5f71\u54cd\u3002y\u8f74\u8868\u793a\u8282\u70b9\u514d\u75ab\u540e\u5904\u4e8e\u7a33\u6001\u7684\u611f\u67d3\u8282\u70b9\u6bd4\u4f8b\uff0cx\u8f74\u8868\u793a\u611f\u67d3\u6982\u7387\u7684\u7f29\u653e\u3002<\/span><\/p>\n


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\u751f\u6210\u7f51\u7edc\u4e0a\u7684\u8868\u73b0<\/strong><\/span><\/section>\n

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\u56fe6. \u516b\u4e2a\u6307\u6807\u5728\u751f\u6210\u7f51\u7edc\u4e2d\u7684\u6e17\u6d41\u6027\u80fd\u3002y\u8f74\u8868\u793a\u53bb\u9664\u56e2\uff08\u8282\u70b9\uff09\u540e\u7684\u7f51\u7edc\u9c81\u68d2\u6027\uff0cx\u8f74\u8868\u793a\u53bb\u9664\u56e2\uff08\u8282\u70b9\uff09\u7684\u6bd4\u4f8b\u3002<\/span><\/p>\n


<\/em><\/span><\/section>\n
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\u56fe7. \u516b\u4e2a\u6307\u6807\u5728\u751f\u6210\u7f51\u7edc\u4e2d\u7684\u540c\u6b65\u6027\u80fd\u3002y\u8f74\u8868\u793a\u9489\u4f4f\u4e00\u5c0f\u90e8\u5206\u56e2(\u8282\u70b9)\u540e\u7684\u7f51\u7edc\u540c\u6b65\uff0cx\u8f74\u8868\u793a\u9489\u4f4f\u7684\u56e2(\u8282\u70b9)\u7684\u6bd4\u4f8b\u3002<\/span><\/p>\n


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\u56fe8. \u6bcf\u4e00\u8861\u91cf\u6807\u51c6\u5bf9\u4f20\u67d3\u75c5\u5728\u751f\u6210\u7f51\u7edc\u4e2d\u4f20\u64ad\u7684\u5f71\u54cd\u3002y\u8f74\u8868\u793a\u8282\u70b9\u514d\u75ab\u540e\u5904\u4e8e\u7a33\u6001\u7684\u611f\u67d3\u8282\u70b9\u6bd4\u4f8b\uff0cx\u8f74\u8868\u793a\u611f\u67d3\u6982\u7387\u7684\u7f29\u653e\u3002<\/span><\/p>\n


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\u9ad8\u9636\u7f51\u7edc\u793e\u533a<\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n

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\u7531\u7535\u5b50\u79d1\u6280\u5927\u5b66\u5415\u7433\u5a9b\u8001\u5e08\u3001\u4efb\u6653\u9f99\u8001\u5e08\u53ca\u4e2d\u56fd\u5730\u8d28\u5927\u5b66\uff08\u5317\u4eac\uff09\u7ba1\u9752\u8001\u5e08\u5728\u96c6\u667a\u4ff1\u4e50\u90e8\u8054\u5408\u53d1\u8d77\u4e86\u3010\u9ad8\u9636\u7f51\u7edc\u8bfb\u4e66\u4f1a<\/a><\/span>\u3011\u3002\u8bfb\u4e66\u4f1a\u56f4\u7ed5\u9ad8\u9636\u4ea4\u4e92\u7f51\u7edc\u7684\u57fa\u672c\u6982\u5ff5\u3001\u6a21\u578b\u3001\u65b9\u6cd5\u4e0e\u5e94\u7528\u7b49\u7814\u7a76\u8fdb\u884c\u7814\u8ba8\uff0c\u6309\u7167\u300c\u57fa\u7840\u7406\u8bba\u300d+\u300c\u6df1\u5165\u7406\u8bba\u300d+\u300c\u6848\u4f8b\u7814\u8ba8\u300d\u7684\u6a21\u5f0f\u5c55\u5f00\u3002\u8bfb\u4e66\u4f1a\u7b2c\u4e00\u5b63\u5df2\u7ecf\u5706\u6ee1\u7ed3\u675f\uff0c\u7b2c\u4e8c\u5b63\u6b63\u5728\u7b79\u5907\u4e2d\u3002\u73b0\u5728\u62a5\u540d\u52a0\u5165\u53ef\u4ee5\u89e3\u9501\u7b2c\u4e00\u5b63\u5168\u90e8\u5f55\u64ad\u89c6\u9891\u5e76\u52a0\u5165\u793e\u7fa4\u4ea4\u6d41\u3002<\/span><\/section>\n


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\u8be6\u60c5\u8bf7\u89c1\uff1a<\/span><\/p>\n

\u63a2\u7d22\u590d\u6742\u7cfb\u7edf\u9ad8\u9636\u4ea4\u4e92\u7684\u5965\u79d8 | \u9ad8\u9636\u7f51\u7edc\u8bfb\u4e66\u4f1a\u542f\u52a8<\/strong><\/a>
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\u63a8\u8350\u9605\u8bfb<\/span><\/strong><\/strong><\/p>\n

\u200d<\/span>1. <\/strong>Physics Reports \u6700\u65b0\u7efc\u8ff0\uff1a\u9ad8\u9636\u4e92\u52a8\u7f51\u7edc\u7684\u7ed3\u6784\u548c\u52a8\u529b\u5b66<\/a><\/strong><\/span><\/strong><\/strong><\/section>\n
2.<\/strong> \u5355\u7eaf\u590d\u5f62\u91cd\u6784\uff1a\u5982\u4f55\u4ece\u6570\u636e\u4e2d\u53d1\u73b0\u590d\u6742\u7f51\u7edc\u6f5c\u5728\u9ad8\u9636\u5173\u7cfb\uff1f<\/a><\/strong><\/span><\/strong><\/section>\n
3. <\/strong><\/strong>\u739b\u4e3d\u5973\u738b\u5927\u5b66 Ginestra Bianconi\uff1a\u9ad8\u9636\u7f51\u7edc\u7684\u62d3\u6251\u7ed3\u6784\u4e0e\u52a8\u529b\u5b66<\/a><\/strong><\/strong><\/span><\/strong><\/strong><\/section>\n
<\/strong><\/strong><\/strong><\/section>\n
4. <\/strong><\/strong><\/span>\u5f20\u6c5f\uff1a\u7b2c\u4e09\u4ee3\u4eba\u5de5\u667a\u80fd\u6280\u672f\u57fa\u7840\u2014\u2014\u4ece\u53ef\u5fae\u5206\u7f16\u7a0b\u5230\u56e0\u679c\u63a8\u7406 | \u96c6\u667a\u5b66\u56ed\u5168\u65b0\u8bfe\u7a0b<\/a><\/strong><\/strong><\/span><\/section>\n
5. \u300a\u5f20\u6c5f\u00b7\u590d\u6742\u79d1\u5b66\u524d\u6cbf27\u8bb2\u300b\u5b8c\u6574\u4e0a\u7ebf\uff01<\/strong><\/a><\/strong><\/strong><\/strong><\/section>\n
6. <\/strong><\/strong>\u52a0\u5165\u96c6\u667a\u5b66\u56edVIP\uff0c\u83b7\u5f9720\u5468\u5e74\u201c\u6d8c\u73b0\u201d\u5b66\u672f\u5e74\u4f1a\u5165\u573a\u5238\uff01<\/a><\/strong><\/strong><\/strong><\/strong><\/span><\/section>\n
7. <\/strong>\u52a0\u5165\u96c6\u667a\uff0c\u4e00\u8d77\u590d\u6742\uff01<\/strong><\/span><\/a><\/section>\n

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\u70b9\u51fb\u201c\u9605\u8bfb\u539f\u6587\u201d\uff0c\u62a5\u540d\u8bfb\u4e66\u4f1a<\/strong><\/strong><\/span><\/strong><\/section>\n

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