{"id":33360,"date":"2022-03-26T21:15:01","date_gmt":"2022-03-26T13:15:01","guid":{"rendered":"https:\/\/swarma.org\/?p=33360"},"modified":"2022-03-26T21:15:01","modified_gmt":"2022-03-26T13:15:01","slug":"%e5%b9%bf%e6%b3%9b%e5%ba%94%e7%94%a8%e7%9a%84%e4%ba%8c%e5%88%86%e5%9b%be%ef%bc%9a%e7%90%83%e5%91%98%e4%b8%8e%e4%bf%b1%e4%b9%90%e9%83%a8%ef%bc%8c%e5%88%97%e8%bd%a6%e4%b8%8e%e7%81%ab%e8%bd%a6%e7%ab%99","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=33360","title":{"rendered":"\u5e7f\u6cdb\u5e94\u7528\u7684\u4e8c\u5206\u56fe\uff1a\u7403\u5458\u4e0e\u4ff1\u4e50\u90e8\uff0c\u5217\u8f66\u4e0e\u706b\u8f66\u7ad9 | \u96c6\u667a\u767e\u79d1"},"content":{"rendered":"
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    \u5728\u4e00\u4e2a\u5b8c\u5168\u4e8c\u5206\u56fe\u4e2d\uff0c\u5206\u522b\u7531m\u548cn\u7684\u9876\u70b9\uff08\u7528Km,n\u8868\u793a\uff09\u7ec4\u6210\u7684\u4e24\u4e2a\u4e0d\u76f8\u4ea4\u7684\u96c6\u5408U\u548cV\uff0c\u8fde\u8fb9E\u7531\u5206\u522b\u5728\u96c6\u5408U\u548cV\u7684\u4e24\u4e2a\u9876\u70b9\u8fde\u63a5\u3002\u8be5\u4e8c\u5206\u56fe\u8868\u793a\u4e3aG =\uff08U\uff0cV\uff0cE\uff09\uff0c\u5e76\u4e14\u5177\u6709mn\u6761\u8fb9\u3002\u53e6\u5916\u5b8c\u5168\u4e8c\u5206\u56fe\u8fd8\u6709\u4e00\u4e2a\u7279\u4f8b\uff0c\u90a3\u5c31\u662f \u51a0\u56fe Crown graphs\u3002\u51a0\u56fe\u662f\u5c06\u4e00\u4e2a\u5b8c\u5168\u4e8c\u5206\u56fe\u4e2d\u6240\u6709\u7684\u5b8c\u7f8e\u5339\u914d\u8fde\u8fb9\u53bb\u6389\u540e\u5f62\u6210\u7684\u3002<\/span><\/p>\n<\/li>\n

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    \u8d85\u7acb\u65b9\u4f53\u56fe Hypercube graph\uff0c \u5c40\u90e8\u7acb\u65b9\u4f53 Partial cube\u548c \u4e2d\u4f4d\u6570\u56fe Median graph\u5747\u4e3a\u4e8c\u5206\u56fe\u3002\u5224\u522b\u65b9\u6cd5\u662f\u5c06\u8fd9\u4e9b\u56fe\u4e2d\u7684\u9876\u70b9\u7528 \u4f4d\u5411\u91cfBitvector\uff08\u4e8c\u8fdb\u5236\u4f4d\u7ec4\u6210\u7684\u5411\u91cf\uff09\u8fdb\u884c\u6807\u8bb0\uff0c\u7136\u540e\u5bf9\u6bd4\u5176\u4e2d\u4e24\u4e2a\u9876\u70b9\u7684\u4f4d\u5411\u91cf\uff0c\u53d1\u73b0\u5f53\u4e14\u4ec5\u5f53\u4f4d\u5411\u91cf\u4e2d\u53ea\u6709\u4e00\u4e2a\u4f4d\u5143\u662f\u4e0d\u540c\u7684\u65f6\u5019\uff0c\u8be5\u4e24\u4e2a\u9876\u70b9\u76f8\u90bb\u3002\u53e6\u5916\u5224\u5b9a\u8be5\u56fe\u7684\u4e8c\u5206\u6027\u53ef\u4ee5\u901a\u8fc7\u89c2\u5bdf\u6bcf\u4e2a\u9876\u70b9\u7684\u4f4d\u5411\u91cf\uff0c\u5947\u6570\u4f4d\u5411\u91cf\u548c\u5076\u6570\u4f4d\u5411\u91cf\u5206\u522b\u4e3a\u8be5\u56fe\u7684\u4e8c\u5206\u9876\u70b9\u5b50\u96c6\u3002\u6811\u72b6\u56fe\u548c\u65b9\u56fe\u90fd\u662f\u4e2d\u4f4d\u6570\u56fe\uff0c\u800c\u6240\u6709\u4e2d\u4f4d\u6570\u56fe\u90fd\u662f\u5c40\u90e8\u7acb\u65b9\u4f53\u3002<\/span><\/p>\n<\/li>\n<\/ul>\n


    <\/p>\n

    \n
    \n
    \n
    \n
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    \n
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    \n
    \n
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    \n
    \n


    <\/p>\n

    \n
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    <\/section>\n

    <\/section>\n
    \n
    <\/svg><\/section>\n<\/section>\n<\/section>\n
    \n

    \u5c5e\u6027<\/span><\/strong><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

    \n

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

    \u200d<\/span><\/span>
    <\/h2>\n

    \u7279\u5f81\u8868\u8ff0<\/strong><\/span><\/h3>\n

    \u4e8c\u5206\u56fe\u53ef\u4ee5\u7528\u4ee5\u4e0b\u51e0\u79cd\u4e0d\u540c\u7684\u65b9\u5f0f\u6765\u63cf\u8ff0\u5176\u7279\u5f81\uff1a<\/span><\/p>\n

      \n
    • \n

      \u5f53\u4e14\u4ec5\u5f53\u5b83\u4e0d\u5305\u542b\u5947\u6570\u73af\u7684\u65f6\u5019\uff0c\u8be5\u56fe\u4e3a\u4e8c\u5206\u56fe\u3002<\/span><\/p>\n<\/li>\n

    • \n

      \u5f53\u4e14\u4ec5\u5f53\u56fe\u662f\u5b83\u662f2-\u53ef\u7740\u8272\u7684\uff08\u5373\u5176\u8272\u6570\u5c0f\u4e8e\u6216\u7b49\u4e8e2\uff09\u65f6\uff0c\u8be5\u56fe\u4e3a\u4e8c\u5206\u56fe\u3002<\/span><\/p>\n<\/li>\n

    • \n

      \u4e00\u4e2a\u56fe\u662f\u4e8c\u90e8\u56fe\u5f53\u4e14\u4ec5\u5f53\u5b83\u7684\u9876\u70b9\u96c6V\u53ef\u5206\u4e3a2\u4e2a\u96c6\u5408 A\u548cB\uff0c\u4ee5\u81f3\u4e8e<\/span><\/p>\n<\/li>\n<\/ul>\n

      <\/p>\n

        \n
      • \n

        \u4efb\u4f55\u7531\u4ee5\u4e0b\u7ec4\u6210\u7684\u4e8c\u90e8\u56fen\u9876\u70b9\u6700\u591a\u53ef\u4ee5\u6709n^2\/4\u8fb9\u7f18\u3002<\/span><\/p>\n<\/li>\n

      • \n

        \u5f53\u4e14\u4ec5\u5f53\u5b83\u662f\u4e8c\u5206\u56fe\u65f6\uff0c\u56fe\u7684\u9891\u8c31\u662f\u5bf9\u79f0\u7684\u3002<\/span><\/p>\n<\/li>\n<\/ul>\n


        <\/h3>\n

        \u67ef\u5c3c\u5e0c\u5b9a\u7406\u548c\u5b8c\u7f8e\u56fe K\u0151nig’s theorem and perfect graphs<\/span><\/strong><\/span><\/h3>\n

        \u5728\u4e8c\u5206\u56fe\u4e2d\uff0c \u6700\u5c0f\u9876\u70b9\u8986\u76d6 Minimum vertex cover\uff08\u9876\u70b9\u6570\uff09\u7b49\u4e8e \u6700\u5927\u5339\u914d\u6570 Maximum matching(\u8fb9\u6570)\uff1b\u8fd9\u5c31\u662f \u67ef\u5c3c\u5e0c\u5b9a\u7406 K\u0151nig’s theorem\u3002\u8be5\u5b9a\u7406\u7684\u53e6\u4e00\u79cd\u7b49\u4ef7\u5f62\u5f0f\u662f\uff0c \u6700\u5927\u72ec\u7acb\u96c6 Maximum independent set\uff08\u9876\u70b9\u6570\uff09\u52a0\u4e0a\u6700\u5927\u5339\u914d\u6570\u7b49\u4e8e\u9876\u70b9\u7684\u6570\u91cf\u3002\u5728\u4efb\u610f\u6ca1\u6709\u5b64\u7acb\u9876\u70b9\u7684\u56fe\u4e2d\uff0c \u6700\u5c0f\u8fb9\u8986\u76d6 Minimum edge cover\uff08\u8fb9\u6570\uff09\u52a0\u4e0a\u6700\u5927\u5339\u914d\u6570\u7b49\u4e8e\u9876\u70b9\u6570\u3002\u4e8e\u662f\uff0c\u5c06\u4ee5\u4e0a\u7b49\u5f0f\u4e0e\u67ef\u5c3c\u5e0c\u5b9a\u7406\u76f8\u7ed3\u5408\uff0c\u5f97\u51fa\u4ee5\u4e0b\u4e8b\u5b9e\uff1a\u5728\u4e8c\u5206\u56fe\u4e2d\uff0c\u6700\u5c0f\u8fb9\u8986\u76d6\u6570\u503c\u7b49\u4e8e\u6700\u5927\u72ec\u7acb\u96c6\u6570\u503c\uff0c\u6700\u5c0f\u8fb9\u8986\u76d6\u6570\u503c\u52a0\u4e0a\u6700\u5c0f\u9876\u70b9\u8986\u76d6\u6570\u503c\u7b49\u4e8e\u9876\u70b9\u6570\u3002<\/span><\/p>\n


        \u53e6\u4e00\u7c7b\u76f8\u5173\u7279\u6027\u4e0e \u5b8c\u7f8e\u56fe Perfect graph\u6709\u5173\uff1a\u6bcf\u4e2a\u4e8c\u5206\u56fe\u53ca\u5176\u8865\u56fe\u3001\u7ebf\u56fe\u3001\u7ebf\u56fe\u7684\u8865\u56fe\u5747\u4e3a\u5b8c\u7f8e\u56fe\u3002\u5176\u5b9e\u5173\u4e8e\u4e8c\u5206\u56fe\u7684\u5b8c\u7f8e\u6027\u5f88\u5bb9\u6613\u5c31\u53ef\u4ee5\u770b\u51fa\u6765\uff08\u5b83\u4eec\u7684\u8272\u6570\u4e3a2\uff0c\u6700\u5927\u7684\u56e2\u6570\u540c\u6837\u4e3a2\uff09\uff0c\u4f46\u662f\u4e8c\u5206\u56fe\u7684\u8865\u56fe\u5b8c\u7f8e\u6027\u7684\u5224\u5b9a\u66f4\u7b80\u5355\u4e9b\uff0c\u4e14\u53ef\u4ee5\u770b\u4f5c\u662f\u67ef\u5c3c\u5e0c\u5b9a\u7406\u7684\u53e6\u4e00\u79cd\u8868\u8ff0\u3002\u5176\u5b9e\u5728\u5b9a\u4e49\u5b8c\u7f8e\u56fe\u8fd9\u4e00\u6982\u5ff5\u7684\u521d\u671f\uff0c\u5b83\u662f\u4f5c\u4e3a\u5176\u4e2d\u4e4b\u4e00\u7684\u8bba\u8bc1\u7ed3\u679c\u800c\u5b58\u5728\u7684\u3002\u540c\u65f6\u5b8c\u7f8e\u56fe\u7ebf\u56fe\u7684\u8865\u56fe\u5b8c\u7f8e\u6027\u4e5f\u662f\u4f5c\u4e3a\u67ef\u5c3c\u5e0c\u5b9a\u7406\u7684\u53e6\u4e00\u79cd\u8868\u8ff0\uff0c\u7ebf\u56fe\u7684\u5b8c\u7f8e\u6027\u9648\u8ff0\u4e86\u6bd4\u8f83\u65e9\u671f\u7684\u67ef\u5c3c\u5e0c\u5b9a\u7406\uff0c\u5373\u6bcf\u4e00\u4e2a\u4e8c\u5206\u56fe\u7684\u7740\u8272\u8fb9\uff0c\u5176\u8272\u6570\u90fd\u7b49\u4e8e\u5176\u6700\u5927\u8282\u70b9\u5ea6\u6570\u3002<\/span><\/p>\n


        \u6839\u636e \u5f3a\u5b8c\u7f8e\u56fe\u5b9a\u7406 Strong perfect graph theorem\uff0c\u5b8c\u7f8e\u56fe\u5177\u6709\u7c7b\u4f3c\u4e8e\u4e8c\u5206\u56fe\u7684 \u7981\u6b62\u56fe\u7279\u5f81 Forbidden graph characterization\uff1a\u5f53\u4e14\u4ec5\u5f53\u5b83\u6ca1\u6709\u5947\u73af\u7684\u5b50\u56fe\u65f6\uff0c\u56fe\u624d\u662f\u4e8c\u5206\u7684\uff1b\u5f53\u4e14\u4ec5\u5f53\u5b83\u6ca1\u6709\u5947\u73af\u6216\u5176\u8865\u56fe\u4f5c\u4e3a \u5bfc\u51fa\u5b50\u56feInduced subgraph\u65f6\uff0c\u56fe\u624d\u662f\u5b8c\u7f8e\u7684\u3002\u4e8c\u5206\u56fe\u53ca\u5176\u7ebf\u56fe\u3001\u8865\u56fe\u5360\u636e\u4e86\u5b8c\u7f8e\u56fe\u4e94\u79cd\u57fa\u672c\u7c7b\u522b\u4e2d\u7684\u56db\u4e2a\uff0c\u5b83\u4eec\u53ef\u4ee5\u7528\u4e8e\u8bc1\u660e\u4e86\u5f3a\u5b8c\u7f8e\u56fe\u5b9a\u7406\u3002<\/span><\/p>\n


        <\/p>\n

        \u5ea6\u76f8\u5173\u95ee\u9898<\/span><\/strong><\/span><\/h3>\n

        \u5bf9\u4e8e\u4e00\u4e2a\u9876\u70b9\uff0c\u5176\u76f8\u90bb\u9876\u70b9\u7684\u6570\u91cf\u79f0\u4e3a\u8be5\u9876\u70b9\u7684\u5ea6\u6570\uff0c\u5e76\u8868\u793a\u4e3adeg(v)\u3002\u4e8c\u5206\u56fe\u7684\u603b\u5ea6\u6570\u548c\u516c\u5f0f\u4e3a\uff1a<\/span><\/p>\n


        <\/span><\/p>\n

        <\/p>\n


        <\/p>\n

        \u4e00\u4e2a\u4e8c\u5206\u56fe\u7684\u5ea6\u6570\u5e8f\u5217\u662f\u4e00\u5bf9\u5217\u8868\uff0c\u6bcf\u4e2a\u5217\u8868\u5305\u542b\u4e24\u4e2a\u90e8\u5206U\u548cV\u7684\u5ea6\u6570\u3002\u4f8b\u5982\uff0c\u5b8c\u5168\u4e8c\u5206\u56feK3,5\u5177\u6709\u5ea6\u6570\u5e8f\u5217(5,5,5)\uff0c(3,3,3,3,3)\u3002\u5176\u540c\u6784\u4e8c\u5206\u56fe Isomorphic bipartite graphs\u5177\u6709\u76f8\u540c\u7684\u5ea6\u6570\u5e8f\u5217\u3002\u4f46\u662f\uff0c\u5ea6\u6570\u5e8f\u5217\u901a\u5e38\u4e0d\u662f\u5b9a\u4e49\u4e8c\u5206\u56fe\u7684\u552f\u4e00\u65b9\u6cd5\uff1b\u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b\uff0c\u975e\u540c\u6784\u4e8c\u5206\u56fe\u53ef\u80fd\u5177\u6709\u76f8\u540c\u7684\u5ea6\u6570\u5e8f\u5217\u3002<\/span><\/p>\n


        \u4e8c\u5206\u5b9e\u73b0\u95ee\u9898 Bipartite realization problem\u662f\u901a\u8fc7\u4ee5\u5df2\u77e5\u7684\u4e24\u7ec4\u81ea\u7136\u6570\u5e8f\u5217\u4f5c\u4e3a\u5ea6\u6570\u5e8f\u5217\uff0c\u6765\u67e5\u627e\u7b80\u5355\u7684\u4e8c\u5206\u56fe\u7684\u5224\u5b9a\u95ee\u9898\uff08\u6570\u7406\u903b\u8f91\uff09\u3002\uff08\u5c3e\u968f\u96f6\u53ef\u4ee5\u5ffd\u7565\uff0c\u56e0\u4e3a\u901a\u8fc7\u5411\u56fe\u6dfb\u52a0\u9002\u5f53\u6570\u91cf\u7684\u5b64\u7acb\u9876\u70b9\u53ef\u4ee5\u5b9e\u73b0\u5c3e\u968f\u4e3a\u96f6\u3002\uff09<\/span><\/p>\n


        <\/p>\n

        \u4e0e\u8d85\u56fe\u548c\u6709\u5411\u56fe\u7684\u5173\u7cfb<\/span><\/strong><\/span><\/h3>\n

        \u4e00\u4e2a\u4e8c\u5206\u56fe(U,V,E)\u7684\u53cc\u90bb\u77e9\u9635\u662f\u5927\u5c0f\u4e3a|U|\u00d7|A|\u7684\uff080,1\uff09\u77e9\u9635\uff0c\u5176\u5206\u522b\u4ee3\u8868\u4e86\u6bcf\u5bf9\u76f8\u90bb\u9876\u70b9\u96c6\u5408\u548c\u975e\u76f8\u90bb\u9876\u70b9\u7684\u96c6\u5408\uff08\u5168\u96f6\u77e9\u9635\uff09\u3002\u53cc\u90bb\u63a5\u77e9\u9635\u53ef\u7528\u4e8e\u63cf\u8ff0\u4e8c\u5206\u56fe\uff0c\u8d85\u56fe\u548c\u5b9a\u5411\u56fe\u4e4b\u95f4\u7684\u7b49\u4ef7\u5173\u7cfb\u3002<\/span><\/p>\n


        \u8d85\u56fe\u662f\u4e00\u79cd\u7c7b\u4f3c\u4e8e\u65e0\u5411\u56fe\u7684\u7ec4\u5408\u7ed3\u6784\u3002\u5b83\u5177\u6709\u9876\u70b9\u548c\u8fde\u8fb9\uff0c\u4f46\u662f\u5176\u4e2d\u7684\u8fb9\u53ef\u4ee5\u662f\u4efb\u610f\u5b50\u96c6\u7ec4\u7684\u9876\u70b9\uff0c\u800c\u4e0d\u5fc5\u5177\u6709\u4e24\u4e2a\u7aef\u70b9\u3002\u53ef\u4ee5\u4f7f\u7528\u4e8c\u5206\u56fe(U,V,E)\u6765\u5efa\u6a21\u8d85\u56fe\uff0c\u5176\u4e2dU\u662f\u8d85\u56fe\u7684\u5176\u4e2d\u4e00\u4e2a\u9876\u70b9\u96c6\uff0cV\u662f\u8be5\u8d85\u56fe\u7684\u8fde\u8fb9\u96c6\uff08\u79f0\u4e3a\u8d85\u8fb9\u96c6\uff09\uff0cE\u5305\u542b\u7684\u8fde\u8fb9\u5b9a\u4e49\u4e3a\uff1a\u4ece\u4e00\u4e2a\u8d85\u56fe\u9876\u70b9v\u5230\u8d85\u56fe\u8fde\u8fb9e\u6070\u597d\u5f53v\u662fe\u7684\u7aef\u70b9\u96c6\u4e4b\u4e00\u65f6\u3002\u5728\u8fd9\u79cd\u5bf9\u5e94\u5173\u7cfb\u4e0b\uff0c\u4e8c\u5206\u56fe\u7684\u53cc\u90bb\u77e9\u9635\u6b63\u597d\u662f\u5176\u76f8\u5e94\u8d85\u56fe\u7684\u5173\u8054\u77e9\u9635\u3002\u4f5c\u4e3a\u4e8c\u5206\u56fe\u548c\u8d85\u56fe\u4e4b\u95f4\u8fd9\u79cd\u5bf9\u5e94\u5173\u7cfb\u7684\u7279\u4f8b\uff0c\u4efb\u4f55 \u591a\u91cd\u56fe Multigraph\uff08\u5373\u5728\u76f8\u540c\u4e24\u70b9\u4e4b\u95f4\u53ef\u80fd\u5b58\u5728\u7684\u591a\u6761\u8fb9\u7684\u56fe\uff09\u90fd\u53ef\u4ee5\u89e3\u91ca\u4e3a\u5176\u4e2d\u4e00\u4e9b\u8d85\u8fb9\u5177\u6709\u76f8\u540c\u7aef\u70b9\u96c6\u7684\u8d85\u56fe\uff0c\u5e76\u4e14\u7531\u4e0d\u5177\u6709\u591a\u4e2a\u90bb\u63a5\u5173\u7cfb\u7684\u4e8c\u5206\u56fe\u8868\u793a\uff0c\u5176\u4e2d\u4e8c\u5206\u56fe\u7684\u540c\u8fb9\u9876\u70b9\u7684\u5ea6\u6570\u5747\u4e3a2\u3002<\/span><\/p>\n


        <\/p>\n


        \u5173\u4e8e<\/span>\u90bb\u63a5\u77e9\u9635<\/span>\u7684\u53e6\u4e00\u4e2a\u76f8\u4f3c\u89e3\u91ca\u53ef\u4ee5\u88ab\u7528\u4e8e\u5c55\u793a\u6709\u5411\u56fe\u548c\u5747\u8861\u4e8c\u5206\u56fe\uff08\u4e8c\u5206\u5b50\u96c6\u9876\u70b9\u6570\u76f8\u7b49\uff09\u4e4b\u95f4\u7684\u4e00\u4e00\u5bf9\u5e94\u5173\u7cfb\uff08\u5728\u7ed9\u5b9a\u6570\u91cf\u7684\u6807\u8bb0\u9876\u70b9\u4e0a\uff0c\u5141\u8bb8\u81ea\u5faa\u73af\uff09\u3002\u4f8b\u5982\uff0c\u5177\u6709n\u4e2a\u9876\u70b9\u7684\u6709\u5411\u56fe\u7684\u90bb\u63a5\u77e9\u9635\u53ef\u4ee5\u662f\u5927\u5c0f\u4e3an\u00d7n\u7684\u4efb\u4f55\uff080,1\uff09\u77e9\u9635\uff0c\u7136\u540e\u53ef\u4ee5\u5c06\u5176\u91cd\u65b0\u89e3\u91ca\u4e3a\uff1a\u5177\u6709\u76f8\u540c\u9876\u70b9\u6570n\u7684\u540c\u8fb9\u5b50\u96c6\u7684\u4e8c\u5206\u56fe\u7684\u90bb\u63a5\u77e9\u9635\u3002\u901a\u8fc7\u8fd9\u79cd\u6784\u5efa\u65b9\u5f0f\uff0c\u4e8c\u5206\u56fe\u53ef\u4ee5\u88ab\u89e3\u91ca\u4e3a\u662f\u4e00\u4e2a<\/span>\u6709\u5411\u56fe<\/span>\u7684 \u4e8c\u5206\u53cc\u91cd\u8986\u76d6 Bipartite double cover\u3002<\/span><\/p>\n


        <\/span><\/h2>\n
        \n
        \n
        \n
        \n
        \n
        \n
        \n
        \n
        \n
        \n
        \n
        \n
        \n


        <\/p>\n

        \n
        \n
        \n
        \n
        \n
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        \n
        \n
        \n
        \n

        <\/section>\n

        <\/section>\n
        \n
        <\/svg><\/section>\n<\/section>\n<\/section>\n
        \n

        \u7b97\u6cd5<\/span><\/strong><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

        \n

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

        <\/span>
        <\/h2>\n

        \u4e8c\u5206\u6027\u6d4b\u8bd5<\/span><\/span><\/strong><\/span><\/span><\/h2>\n

        \u53ef\u4ee5\u4f7f\u7528 \u6df1\u5ea6\u4f18\u5148\u641c\u7d22 Depth-first search\u6765\u6d4b\u8bd5\u56fe\u662f\u5426\u4e3a\u4e8c\u5206\u56fe\uff0c\u5e76\u5728\u7ebf\u6027\u65f6\u95f4\u5185\u8fd4\u56de\u53cc\u8272\uff08\u5982\u679c\u662f\u4e8c\u5206\u56fe\uff09\u6216\u5947\u6570\u73af\uff08\u5982\u679c\u4e0d\u662f\u4e8c\u5206\u56fe\uff09\u3002\u5176\u65b9\u6cd5\u7684\u4e3b\u8981\u601d\u60f3\u662f\u4e3a\u6bcf\u4e2a\u9876\u70b9\u5206\u914d\u4e0e \u6df1\u5ea6\u4f18\u5148\u641c\u7d22\u6797 Depth-first search forest\u4e2d\u5176\u4e0a\u7ea7\u989c\u8272\u4e0d\u540c\u7684\u989c\u8272\uff0c\u5e76\u5728\u5176\u4e2d\u8fdb\u884c\u5168\u90e8\u9009\u62e9\u3002\u8fd9\u5fc5\u5b9a\u4f1a\u4e3a\u751f\u6210\u6797 Spanning forest\u63d0\u4f9b\u4e24\u79cd\u989c\u8272\uff0c\u5305\u62ec\u5c06\u9876\u70b9\u8fde\u63a5\u5230\u5176\u4e0a\u7ea7\u7684\u8fb9\u3002\u4e0d\u8fc7\u5b83\u53ef\u80fd\u65e0\u6cd5\u4e3a\u975e\u6797\u8fb9\u6b63\u786e\u7740\u8272\u3002\u5728\u6df1\u5ea6\u4f18\u5148\u641c\u7d22\u6797\u4e2d\uff0c\u6bcf\u4e2a\u975e\u6797\u8fb9\u7f18\u7684\u4e24\u4e2a\u9876\u70b9\u4e4b\u4e00\u662f\u53e6\u4e00\u4e2a\u9876\u70b9\u7684\u59cb\u6e90\uff0c\u5e76\u4e14\u5f53\u6df1\u5ea6\u4f18\u5148\u641c\u7d22\u53d1\u73b0\u8fd9\u79cd\u7c7b\u578b\u7684\u8fb9\u65f6\uff0c\u5e94\u68c0\u67e5\u8fd9\u4e24\u4e2a\u9876\u70b9\u662f\u5426\u5177\u6709\u4e0d\u540c\u7684\u989c\u8272\u3002\u5982\u679c\u4e0d\u662f\uff0c\u5219\u6797\u4e2d\u4ece\u59cb\u6e90\u5230\u540e\u4ee3\u7684\u8def\u5f84\u4e0e\u989c\u8272\u4e0d\u540c\u7684\u8fb9\u4e00\u8d77\u4f1a\u5f62\u6210\u4e00\u4e2a\u5947\u6570\u73af\uff0c\u8be5\u5947\u6570\u73af\u4f1a\u4ece\u7b97\u6cd5\u4e2d\u8fd4\u56de\uff0c\u5e76\u8f93\u51fa\u975e\u4e8c\u5206\u56fe\u7684\u7ed3\u679c\u3002\u4f46\u662f\uff0c\u5982\u679c\u7b97\u6cd5\u5728\u672a\u68c0\u6d4b\u5230\u6b64\u7c7b\u5947\u6570\u73af\u7684\u60c5\u51b5\u4e0b\u7ec8\u6b62\uff0c\u5219\u5fc5\u987b\u5bf9\u6bcf\u4e2a\u8fb9\u8fdb\u884c\u9002\u5f53\u7684\u7740\u8272\uff0c\u5e76\u8fd4\u56de\u53cc\u8272\u4ee5\u53ca\u5f97\u51fa\u8be5\u56fe\u5f62\u4e3a\u4e8c\u5206\u56fe\u7684\u7ed3\u679c\u3002<\/span><\/p>\n


        <\/span><\/p>\n

        \u53c8\u6216\u8005\uff0c\u53ef\u4ee5\u4f7f\u7528 \u5e7f\u5ea6\u4f18\u5148\u641c\u7d22 Breadth-first search\u6765\u66ff\u4ee3\u6df1\u5ea6\u4f18\u5148\u641c\u7d22\u8fdb\u884c\u68c0\u6d4b\u3002\u540c\u6837\uff0c\u5728\u641c\u7d22\u6797\u4e2d\uff0c\u4ee5\u5e7f\u5ea6\u4f18\u5148\u7684\u987a\u5e8f\u4e3a\u6bcf\u4e2a\u8282\u70b9\u8d4b\u4e88\u4e0e\u4e0a\u7ea7\u8282\u70b9\u76f8\u53cd\u7684\u989c\u8272\u3002\u5982\u679c\u5728\u7740\u8272\u67d0\u4e2a\u9876\u70b9\u65f6\u5b58\u5728\u4e00\u6761\u8fb9\uff0c\u5176\u8fde\u63a5\u4e86\u4e0e\u5148\u524d\u7740\u8272\u7684\u9876\u70b9\u76f8\u540c\u7684\u989c\u8272\u3002\u7136\u540e\u8fd9\u6761\u8fb9\u6cbf\u7740\u4ee5\u5e7f\u5ea6\u4f18\u5148\u641c\u7d22\u6797\u4e2d\u7684\u8def\u5f84\uff0c\u5c06\u5176\u4e24\u4e2a\u7aef\u70b9\u4e0e\u5176\u6700\u4f4e\u5171\u6709\u59cb\u6e90nLowest common ancestor\u76f8\u8fde\uff0c\u5f62\u6210\u4e00\u6761\u5947\u6570\u73af\u3002\u5f53\u7136\uff0c\u5982\u679c\u8be5\u7b97\u6cd5\u6700\u7ec8\u6ca1\u627e\u5230\u5947\u6570\u73af\u4e14\u7ec8\u6b62\uff0c\u90a3\u4e48\u5b83\u80af\u5b9a\u5df2\u7ecf\u627e\u5230\u4e86\u6b63\u786e\u7684\u7740\u8272\uff0c\u53ef\u4ee5\u5b89\u5168\u8fd4\u56de\u5e76\u5f97\u51fa\u8be5\u56fe\u662f\u4e8c\u5206\u56fe\u7684\u7ed3\u8bba\u3002<\/span><\/p>\n


        \u5bf9\u4e8en\u4e2a\u7ebf\u6bb5\u7684\u76f8\u4ea4\u56fe\u6216 \u6b27\u51e0\u91cc\u5f97\u5e73\u9762 Euclidean plane\u4e2d\u7684\u5176\u4ed6\u7b80\u5355\u5f62\u72b6\u56fe\uff0c\u5373\u4f7f\u56fe\u672c\u8eab\u53ef\u80fd\u5177\u6709\u591a\u8fbeO(n^2)\u4e2a\u8fb9\u7f18\uff0c\u4e5f\u53ef\u4ee5\u6d4b\u8bd5\u5176\u662f\u5426\u800c\u4e8c\u5206\u56fe\uff0c\u5e76\u5728\u65f6\u95f4O(nlogn)\u4e2d\u8fd4\u56de\u53cc\u8272\uff08\u5224\u5b9a\u4e3a\u4e8c\u5206\u56fe\uff09\u6216\u5947\u6570\u73af\uff08\u5224\u5b9a\u4e3a\u975e\u4e8c\u5206\u56fe\uff09\u3002<\/span><\/p>\n


        <\/p>\n


        <\/p>\n

        \u5947\u73af\u6a2a\u8d2f<\/span><\/strong><\/span><\/h3>\n

        \u5947\u73af\u6a2a\u8d2f\u662f\u4e00\u4e2a NP\u5b8c\u5168\u7b97\u6cd5\u95ee\u9898 NP-complete algorithmic problem\uff08\u56e0\u4e0d\u80fd\u7528\u591a\u9879\u5f0f\u7b97\u6cd5\u800c\u4f7f\u95ee\u9898\u65e0\u6cd5\u89e3\u51b3\u7684\uff09\uff0c\u5728\u7ed9\u5b9a\u56fe\u5f62G=(V,E)\u548c\u6570\u5b57k\u7684\u60c5\u51b5\u4e0b\uff0c\u8be2\u95ee\u662f\u5426\u5b58\u5728\u4e00\u7ec4k\u4e2a\u9876\u70b9\uff0c\u5c06\u5176\u4eceG\u79fb\u9664\u4f1a\u5bfc\u81f4\u751f\u6210\u4e3a\u4e8c\u5206\u56fe\u3002\u8fd9\u4e2a\u95ee\u9898\u662f \u56fa\u5b9a\u53c2\u6570\u53ef\u89e3 Fixed-parameter tractable\u7684\uff0c\u8fd9\u610f\u5473\u7740\u5b58\u5728\u4e00\u79cd\u7b97\u6cd5\uff0c\u5176\u8fd0\u884c\u65f6\u95f4\u53ef\u4ee5\u7531\u56fe\u5f62\u5927\u5c0f\u7684\u591a\u9879\u5f0f\u51fd\u6570\u4e58\u4ee5\u589e\u5927\u7cfb\u6570k\u6765\u786e\u5b9a\u3002\u5947\u73af\u6a2a\u8d2f\u7684\u540d\u79f0\u6e90\u4e8e\uff1a\u5f53\u4e14\u4ec5\u5f53\u56fe\u6ca1\u6709\u5947\u6570\u73af\u65f6\uff0c\u8be5\u56fe\u662f\u4e8c\u5206\u56fe\u3002\u56e0\u6b64\uff0c\u4e3a\u4e86\u4ece\u56fe\u4e2d\u5220\u9664\u9876\u70b9\u6765\u83b7\u5f97\u4e8c\u5206\u56fe\uff0c\u5c31\u9700\u8981\u201c\u547d\u4e2d\u6240\u6709\u5947\u6570\u73af\u201d\u6216\u627e\u5230\u6240\u8c13\u7684\u5947\u73af\u6a2a\u8d2f\u96c6\u5408\u3002\u4f8b\u5982\u5728\u56fe\u793a\u4e2d\uff0c\u56fe\u4e2d\u7684\u6bcf\u4e2a\u5947\u6570\u73af\u90fd\u5305\u542b\u84dd\u8272\uff08\u6700\u5e95\u90e8\uff09\u9876\u70b9\uff0c\u56e0\u6b64\u5220\u9664\u8fd9\u4e9b\u9876\u70b9\u5c31\u76f8\u5f53\u4e8e\u5220\u9664\u4e86\u6240\u6709\u5947\u6570\u73af\u5e76\u7559\u4e0b\u4e00\u4e2a\u4e8c\u5206\u56fe\u3002<\/span><\/p>\n


        \u8fb9\u4e8c\u5206\u5316\u95ee\u9898 Edge bipartization problem\u662f\u5220\u9664\u5c3d\u53ef\u80fd\u5c11\u7684\u8fb9\u4ee5\u4f7f\u5176\u6210\u4e3a\u4e8c\u5206\u56fe\u7684\u95ee\u9898\uff0c\u4e5f\u662f\u56fe\u4fee\u6539\u7b97\u6cd5\u4e2d\u7684\u91cd\u8981\u95ee\u9898\u3002\u6b64\u95ee\u9898\u540c\u6837\u662f\u56fa\u5b9a\u53c2\u6570\u53ef\u89e3\u7684\uff0c\u53ef\u4ee5\u5728\u65f6\u95f4O(2^k m^2),\u5185\u89e3\u51b3\uff0c\u5176\u4e2dk\u662f\u8981\u5220\u9664\u7684\u8fb9\u6570\uff0cm\u662f\u8f93\u5165\u56fe\u4e2d\u7684\u8fb9\u6570\u3002<\/span><\/p>\n


        <\/p>\n

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

        \u4e00\u4e2a\u56fe\u4e2d\u7684\u5339\u914d\u662f\u5176\u8fb9\u96c6\u7684\u4e00\u4e2a\u5b50\u96c6\uff0c\u5176\u4e2d\u4efb\u610f\u4e24\u4e2a\u8fb9\u5747\u4e0d\u5171\u4eab\u4e00\u4e2a\u7aef\u70b9\u3002 \u591a\u9879\u5f0f\u65f6\u95f4\u7b97\u6cd5 Polynomial time algorithms\u7d20\u4ee5\u89e3\u51b3\u5f88\u591a\u5173\u4e8e\u5339\u914d\u7684\u7b97\u6cd5\u95ee\u9898\u800c\u5f97\u540d\uff0c\u5305\u62ec \u6700\u5927\u5339\u914d Maximum matching\uff08\u67e5\u627e\u4f7f\u7528\u5c3d\u53ef\u80fd\u591a\u7684\u8fb9\u7684\u5339\u914d\uff09\uff0c \u6700\u5927\u6743\u91cd\u5339\u914d Maximum weight matching\u548c \u7a33\u5b9a\u5a5a\u59fb\u95ee\u9898 Stable marriage\u3002\u5728\u8bb8\u591a\u60c5\u51b5\u4e0b\uff0c\u4e0e\u975e\u4e8c\u5206\u56fe\u76f8\u6bd4\uff0c\u4e8c\u5206\u56fe\u4e0a\u7684\u5339\u914d\u95ee\u9898\u66f4\u5bb9\u6613\u89e3\u51b3\uff0c\u5e76\u4e14\u8bb8\u591a\u5339\u914d\u7b97\u6cd5\uff08\u4f8b\u5982\u7528\u4e8e\u6700\u5927\u57fa\u6570\u5339\u914d\u7684 Hopcroft-Karp\u7b97\u6cd5\uff09\u4ec5\u5728\u4e8c\u5206\u56fe\u8f93\u5165\u7684\u65f6\u5019\u624d\u80fd\u6b63\u786e\u8fd0\u884c\u3002<\/span><\/p>\n


        \u4e3e\u4e00\u4e2a\u7b80\u5355\u7684\u4f8b\u5b50\uff0c\u5047\u8bbe\u4e00\u7ec4P  \u7684\u6240\u6709\u4eba\u90fd\u5728\u4e00\u7ec4J\u7684\u804c\u4f4d\u4e2d\u5bfb\u627e\u5de5\u4f5c\uff0c\u4f46\u5e76\u4e0d\u662f\u6240\u6709\u4eba\u90fd\u9002\u5408\u6240\u6709\u804c\u4f4d\u3002\u53ef\u4ee5\u5c06\u8fd9\u79cd\u60c5\u51b5\u5efa\u6a21\u4e3a\u4e00\u4e2a\u4e8c\u5206\u56fe(P,J,E)\uff0c\u5176\u4e2d\u5f53\u6bcf\u4e2a\u6c42\u804c\u8005\u627e\u5230\u5176\u5408\u9002\u7684\u5de5\u4f5c\u65f6\u4ea7\u751f\u7684\u5173\u7cfb\u5c31\u4f5c\u4e3a\u8fde\u8fb9\u3002\u4e00\u4e2a\u5b8c\u7f8e\u7684\u5339\u914d\u63cf\u8ff0\u7684\u662f\u6240\u6709\u6c42\u804c\u8005\u540c\u65f6\u627e\u5230\u6240\u6709\u5de5\u4f5c\u7684\u60c5\u51b5\uff1b \u970d\u5c14\u7684\u5a5a\u59fb\u5b9a\u7406 Hall’s marriage theorem\u9610\u8ff0\u7684\u5c31\u662f\u4e8c\u5206\u56fe\u5141\u8bb8\u5b8c\u7f8e\u5339\u914d\u7684\u7279\u5f81\u3002\u7f8e\u56fd\u56fd\u6c11\u4f4f\u9662\u533b\u5e08\u5339\u914d\u9879\u76ee\u91c7\u7528\u7684\u5c31\u662f\u56fe\u5f62\u5339\u914d\u6cd5\u6765\u89e3\u51b3\u7f8e\u56fd\u533b\u5b66\u751f\u6c42\u804c\u8005\u548c\u533b\u9662\u5b9e\u4e60\u5de5\u4f5c\u7684\u5339\u914d\u95ee\u9898\u3002<\/span><\/p>\n


        Dulmage\u2013Mendelsohn \u5206\u89e3\u662f\u4e8c\u5206\u56fe\u7684\u7ed3\u6784\u5206\u89e3\uff0c\u53ef\u7528\u4e8e\u5bfb\u627e\u6700\u5927\u5339\u914d\u3002<\/span><\/p>\n


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

        <\/span>
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        \u4e8c\u5206\u56fe\u5e7f\u6cdb\u5e94\u7528\u4e8e\u73b0\u4ee3\u7f16\u7801\u7406\u8bba\u4e2d\uff0c\u5c24\u5176\u662f\u5728\u5bf9\u4ece\u901a\u9053\u63a5\u6536\u5230\u7684\u5bc6\u7801\u8fdb\u884c\u89e3\u7801\u9886\u57df\u3002\u4f8b\u5982\u56e0\u5b50\u56fe Factor graphs\u548c \u5766\u7eb3\u56fe Tanner graphs\u3002Tanner\u56fe\u662f\u4e8c\u5206\u56fe\uff0c\u5176\u4e2d\u4e8c\u5206\u7684\u4e00\u4fa7\u9876\u70b9\u8868\u793a\u4e00\u4e2a\u5bc6\u7801\u6570\u5b57\uff0c\u53e6\u4e00\u4fa7\u9876\u70b9\u8868\u793a\u4e00\u4e2a\u6570\u5b57\u7684\u7ec4\u5408\uff0c\u8fd9\u4e9b\u6570\u5b57\u7684\u603b\u548c\u671f\u671b\u4e3a\u96f6\u4e14\u4e0d\u5b58\u5728\u8bef\u5dee\u3002\u56e0\u5b50\u56fe\u4e0e\u7f6e\u4fe1\u7f51\u7edc\u5bc6\u5207\u76f8\u5173\uff0c\u53ef\u7528\u4e8eLDPC\u548cTurbo\u7801\u7684\u6982\u7387\u89e3\u7801\u3002<\/span><\/p>\n


        \u5728\u8ba1\u7b97\u673a\u79d1\u5b66\u4e2d\uff0c<\/span>Petri\u7f51<\/span>\u662f\u7528\u4e8e\u5206\u6790\u548c\u6a21\u62df\u5e76\u53d1\u7cfb\u7edf\u7684\u6570\u5b66\u5efa\u6a21\u5de5\u5177\u3002\u8be5\u7cfb\u7edf\u88ab\u5efa\u6a21\u4e3a\u5177\u6709\u4e24\u7ec4\u70b9\u96c6\u7684\u4e8c\u5206\u6709\u5411\u56fe\uff1a\u4e00\u7ec4\u201c\u5e93\u6240\u201d\u70b9\u96c6\u7528\u4e8e\u5bb9\u7eb3\u8d44\u6e90\uff0c\u4ee5\u53ca\u4e00\u7ec4\u201c\u4e8b\u4ef6\u201d\u70b9\u96c6\u7528\u4e8e\u751f\u6210\u548c\uff08\u6216\uff09\u6d88\u8017\u8d44\u6e90\u3002\u4ed6\u4eec\u901a\u8fc7\u7ea6\u675f\u8282\u70b9\u548c\u8fde\u8fb9\u7684\u4f20\u9012\u6765\u8fdb\u4e00\u6b65\u9650\u5236\u7cfb\u7edf\u7684\u884c\u4e3a\u3002Petri\u7f51\u5229\u7528\u4e8c\u5206\u6709\u5411\u56fe\u7684\u5c5e\u6027\u548c\u5176\u4ed6\u5c5e\u6027\u6765\u5141\u8bb8\u5bf9\u7cfb\u7edf\u884c\u4e3a\u8fdb\u884c\u6570\u5b66\u8bc1\u660e\uff0c\u540c\u65f6\u8fd8\u53ef\u4ee5\u8f7b\u677e\u5b9e\u73b0\u7cfb\u7edf\u4eff\u771f\u3002<\/span><\/p>\n


        \u5728\u5c04\u5f71\u51e0\u4f55\u4e2d\uff0cLevi\u56fe\u662f\u4e8c\u5206\u56fe\u7684\u4e00\u79cd\u5f62\u5f0f\uff0c\u53ef\u7528\u4e8e\u5bf9\u914d\u7f6e\u70b9\u548c\u7ebf\u4e4b\u95f4\u7684\u5165\u5c04\u8fdb\u884c\u5efa\u6a21\u3002\u7ed3\u5408\u70b9\u548c\u7ebf\u7684\u51e0\u4f55\u7279\u6027\uff0c\u5373\u6bcf\u4e24\u6761\u7ebf\u6700\u591a\u76f8\u4ea4\u4e8e\u4e00\u4e2a\u70b9\uff0c\u5e76\u4e14\u6bcf\u4e24\u4e2a\u70b9\u90fd\u7531\u4e00\u6761\u7ebf\u8fde\u63a5\uff0c\u56e0\u6b64Levi\u56fe\u4e0d\u4e00\u5b9a\u5305\u542b\u4efb\u4f55\u957f\u5ea6\u4e3a4\u7684\u73af\uff0c\u8fdb\u800c\u5176\u5468\u957f\u5fc5\u987b\u4e3a6\u6216\u66f4\u5927\u3002<\/span><\/p>\n


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        \u7f16\u8f91\u63a8\u8350<\/span><\/strong><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

        \n

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


        <\/p>\n

        \u96c6\u667a\u8bfe\u7a0b<\/span><\/strong><\/span>
        <\/h3>\n

        \u4e8c\u5206\u56fe\u795e\u7ecf\u7f51\u7edc(BGNN)\u4e0e\u63a8\u8350\u7cfb\u7edf<\/span><\/strong><\/span><\/h4>\n

        https:\/\/campus.swarma.org\/course\/1054<\/span><\/p>\n

        \u672c\u8bfe\u7a0b\u6765\u81ea\u96c6\u667a\u5b66\u56ed\u56fe\u7f51\u7edc\u8bba\u6587\u89e3\u8bfb\u7cfb\u5217\u6d3b\u52a8\u3002\u672c\u8bfe\u7a0b\u662f\u5bf9\u8bba\u6587\u300aBipartite Graph Neural Networks for Efficient Node Representation Learning\u300b\u7684\u89e3\u8bfb\u3002<\/span><\/p>\n

        \u56fe\u7f51\u7edc\u7b97\u6cd5\u76ee\u524d\u4e3b\u8981\u7528\u4e8e\u540c\u8d28\u5316\u7684\u56fe\u3002\u8fd9\u7bc7\u8bba\u6587\u7ed3\u5408\u56fe\u7f51\u7edc\u7b97\u6cd5\u548c\u4e8c\u5206\u56fe\u7684\u7279\u70b9\u63d0\u51fa\u4e86BGNN\u7b97\u6cd5\uff0c\u9002\u7528\u4e8e\u4e8c\u5206\u56fe\u4e0a\u7684\u5b66\u4e60\u3002\u8be5\u7b97\u6cd5\u4e3b\u8981\u5305\u62ec\u8de8\u8282\u70b9\u57df\u7684\u6d88\u606f\u4f20\u9012\u673a\u5236\uff08inter-domain message passing\uff09\u548c\u540c\u8282\u70b9\u57df\u7684\u4fe1\u606f\u5bf9\u9f50(intra-domain alignment)\u673a\u5236. \u901a\u8fc7\u91c7\u7528GAN\u6280\u672f\u5b9e\u73b0\u4e86\u65e0\u76d1\u7763\u5b66\u4e60\uff0c\u53c8\u91c7\u7528\u9010\u5c42\u8bad\u7ec3\u7684\u65b9\u6cd5\u63d0\u5347\u4e86\u7b97\u6cd5\u6548\u7387\uff0c\u5e76\u5728\u4eba\u5de5\u6570\u636e\u96c6\u548c\u5b9e\u9645\u6570\u636e\u96c6\u4e0a\u8fdb\u884c \u8bd5\u9a8c\uff0c\u7ed3\u679c\u8d85\u8d8a\u4e86\u73b0\u6709\u7684\u56fe\u8868\u793a\u5b66\u4e60\u65b9\u6cd5\u3002\u8fd9\u4e9b\u4f18\u52bf\u4f7fBGNN\u6709\u6f5c\u529b\u5e94\u7528\u4e8e\u5927\u89c4\u6a21\u63a8\u8350\u7cfb\u7edf\u3002<\/span><\/p>\n


        <\/p>\n

        \u4e66\u7c4d\u9886\u8bfb\uff1a\u56fe\u8bba<\/span><\/strong><\/span><\/h4>\n

        https:\/\/campus.swarma.org\/course\/1790<\/span><\/p>\n

        \u672c\u8bfe\u7a0b\u4e2d\uff0c\u5c06\u8bb2\u89e3\u5df4\u62c9\u5df4\u897f\u7f51\u7edc\u79d1\u5b66\u4e66\u7c4d\u7b2c\u4e00\u7ae0\u56fe\u8bba\u3002<\/span><\/p>\n


        <\/p>\n

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

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

        \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<\/span><\/p>\n


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        \u767e\u79d1\u9879\u76ee\u5fd7\u613f\u8005\u62db\u52df<\/span><\/strong><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

        \n

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        <\/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<\/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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        \u4f5c\u4e3a\u96c6\u667a\u767e\u79d1\u9879\u76ee\u56e2\u961f\u7684\u6210\u5458\uff0c\u672c\u6587\u5185\u5bb9\u7531<\/span><\/strong>Jie<\/span><\/strong>\u7ffb\u8bd1\uff0c\u7531CecileLi<\/strong>\u5ba1\u6821<\/span>\uff0c<\/span>\u8584\u8377<\/span><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong>\u7f16\u8f91\u3002\u6211\u4eec\u4e5f\u4e3a\u6bcf\u4f4d\u4f5c\u8005\u548c\u5fd7\u613f\u8005\u51c6\u5907\u4e86\u4e13\u5c5e\u7b80\u4ecb\u548c\u4e2a\u4eba\u96c6\u667a\u767e\u79d1\u4e3b\u9875\uff0c\u66f4\u591a\u4fe1\u606f\u53ef\u4ee5\u8bbf\u95ee\u5176\u96c6\u667a\u767e\u79d1\u4e2a\u4eba\u4e3b\u9875\u3002<\/span><\/section>\n

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        \u4ee5\u4e0a\u5185\u5bb9\u90fd\u662f\u6211\u4eec\u505a\u8fd9\u9879\u76ee\u7684\u8d77\u70b9\uff0c\u4f5c\u4e3a\u6765\u81ea\u4e0d\u540c\u5b66\u79d1\u548c\u9886\u57df\u7684\u5fd7\u613f\u8005\uff0c\u6211\u4eec\u5efa\u7acb\u8d77\u4e00\u4e2a\u6709\u6548\u7684\u767e\u79d1\u56e2\u961f\uff0c\u5206\u914d\u6709\u5ba1\u6821\u3001\u7ffb\u8bd1\u3001\u7f16\u8f91\u3001\u5ba3\u4f20\u7b49\u5de5\u4f5c\u3002\u6211\u4eec\u79c9\u6301\uff1a\u77e5\u8bc6\u4ece\u6211\u800c\u6765\uff0c\u95ee\u9898\u5230\u6211\u4e3a\u6b62\u7684\u4fe1\u5ff5\uff0c\u8ba4\u771f\u8d1f\u8d23\u7f16\u64b0\u6bcf\u4e00\u4e2a\u8bcd\u6761\u3002<\/span><\/section>\n

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        \u5728\u8fd9\u91cc\u4ece\u590d\u6742\u6027\u77e5\u8bc6\u51fa\u53d1\u4e0e\u4f19\u4f34\u540c\u884c\uff0c\u540c\u65f6\u6211\u4eec\u5e0c\u671b\u6709\u66f4\u591a\u5fd7\u613f\u8005\u52a0\u5165\u8fd9\u4e2a\u56e2\u961f\uff0c\u4f7f\u767e\u79d1\u8bcd\u6761\u5185\u5bb9\u5f97\u5230\u6269\u5145\uff0c\u5e76\u4e3a\u6bcf\u4f4d\u5fd7\u613f\u8005\u63d0\u4f9b\u76f8\u5e94\u5956\u52b1\u4e0e\u8d44\u6e90\uff0c\u5efa\u7acb\u4e2a\u4eba\u4e3b\u9875\u4e0e\u8d21\u732e\u8bb0\u5f55\uff0c\u4f7f\u5176\u80fd\u591f\u7ee7\u7eed\u63a2\u7d22\u590d\u6742\u4e16\u754c\u3002<\/span><\/section>\n

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        <\/section>\n


        <\/span><\/p>\n

        \u5982\u679c\u4f60\u6709\u610f\u53c2\u4e0e\u66f4\u52a0\u7cfb\u7edf\u7cbe\u7ec6\u7684\u5206\u5de5\uff0c\u626b\u63cf\u4e8c\u7ef4\u7801\u586b\u5199\u62a5\u540d\u8868\uff0c\u6211\u4eec\u671f\u5f85\u4f60\u7684\u52a0\u5165\uff01<\/span><\/p>\n


        <\/p>\n


        <\/p>\n

        <\/section>\n
        \u96c6\u667a\u767e\u79d1\u62a5\u540d\u8868<\/span><\/section>\n


        <\/p>\n

        \n
        \n
        \n

        \u6765\u6e90\uff1a\u96c6\u667a\u767e\u79d1<\/p>\n

        \u7f16\u8f91\uff1a\u738b\u5efa\u840d<\/p>\n<\/section>\n<\/blockquote>\n<\/section>\n


        <\/p>\n

        \u63a8\u8350\u9605\u8bfb<\/span><\/strong><\/span><\/section>\n