{"id":200668,"date":"2024-05-10T01:58:14","date_gmt":"2024-05-09T17:58:14","guid":{"rendered":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/200668.html"},"modified":"2024-05-10T01:58:20","modified_gmt":"2024-05-09T17:58:20","slug":"%e6%8c%87%e6%b4%be%e9%97%ae%e9%a2%98%e9%99%a4%e4%ba%86%e5%8c%88%e7%89%99%e5%88%a9%e7%ae%97%e6%b3%95%ef%bc%8c%e8%bf%98%e6%9c%89%e4%bb%80%e4%b9%88%e5%85%b6%e4%bb%96%e7%ae%97%e6%b3%95","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/200668.html","title":{"rendered":"\u6307\u6d3e\u95ee\u9898\u9664\u4e86\u5308\u7259\u5229\u7b97\u6cd5\uff0c\u8fd8\u6709\u4ec0\u4e48\u5176\u4ed6\u7b97\u6cd5"},"content":{"rendered":"<p style=\"text-align:center\"><img decoding=\"async\" src=\"https:\/\/cdn-kb.worktile.com\/kb\/wp-content\/uploads\/2024\/04\/24141254\/7f498399-2bd0-4e83-a6ee-691296f591d2.webp\" alt=\"\u6307\u6d3e\u95ee\u9898\u9664\u4e86\u5308\u7259\u5229\u7b97\u6cd5\uff0c\u8fd8\u6709\u4ec0\u4e48\u5176\u4ed6\u7b97\u6cd5\" 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1\u3002\u8fd9\u901a\u5e38\u901a\u8fc7\u4f7f\u7528\u5982Bellman-Ford\u3001Dijkstra\u7b97\u6cd5\u7b49\u7ecf\u5178\u6700\u77ed\u8def\u5f84\u7b97\u6cd5\u6765\u627e\u5230\u6700\u5c0f\u8d39\u7528\u7684\u589e\u5e7f\u8def\u5f84\uff0c\u7136\u540e\u589e\u52a0\u6d41\u91cf\uff0c\u76f4\u5230\u8fbe\u5230\u6700\u5927\u6d41\u3002\u8fd9\u4e2a\u7b97\u6cd5\u53ef\u4ee5\u6709\u6548\u5904\u7406\u5927\u89c4\u6a21\u7a00\u758f\u7f51\u7edc\uff0c\u7279\u522b\u662f\u89e3\u51b3\u8fd0\u8f93\u95ee\u9898\u3001\u7f51\u7edc\u8bbe\u8ba1\u7b49\u65b9\u9762\u3002<\/p>\n<\/p>\n<p><h3>\u56db\u3001\u8fdb\u9636\u7b97\u6cd5<\/h3>\n<\/p>\n<p><p>\u6700\u540e\uff0c\u8fd8\u6709\u4e00\u4e9b\u66f4\u4e3a\u5148\u8fdb\u6216\u8005\u7279\u5b9a\u573a\u666f\u4e0b\u4f7f\u7528\u7684\u7b97\u6cd5\uff0c\u50cf<strong>\u57fa\u4e8e\u542f\u53d1\u5f0f\u7684\u9057\u4f20\u7b97\u6cd5\u3001\u7c92\u5b50\u7fa4\u4f18\u5316\u7b97\u6cd5\u7b49\uff0c\u867d\u7136\u8fd9\u4e9b\u7b97\u6cd5\u5728\u7406\u8bba\u6700\u4f18\u6027\u4e0a\u53ef\u80fd\u6709\u6240\u6b20\u7f3a\uff0c\u4f46\u5374\u80fd\u591f\u5728\u53ef\u63a5\u53d7\u7684\u65f6\u95f4\u5185\u627e\u5230\u8db3\u591f\u597d\u7684\u89e3\uff0c\u7279\u522b\u662f\u5728\u89c4\u6a21\u5e9e\u5927\u6216\u8005\u590d\u6742\u7a0b\u5ea6\u8f83\u9ad8\u7684\u5b9e\u9645\u5e94\u7528\u4e2d<\/strong>\u3002<\/p>\n<\/p>\n<p><p><strong>\u9057\u4f20\u7b97\u6cd5<\/strong>\u548c<strong>\u7c92\u5b50\u7fa4\u4f18\u5316\u7b97\u6cd5<\/strong>\u90fd\u5c5e\u4e8e\u8fdb\u5316\u8ba1\u7b97\u7684\u8303\u7574\uff0c\u901a\u8fc7\u6a21\u62df\u81ea\u7136\u9009\u62e9\u548c\u9057\u4f20\u5b66\u7684\u8fc7\u7a0b\u6765\u8fed\u4ee3\u5bfb\u627e\u6700\u4f18\u89e3\u3002\u9057\u4f20\u7b97\u6cd5\u901a\u8fc7\u4ea4\u53c9\u3001\u53d8\u5f02\u3001\u9009\u62e9\u7b49\u64cd\u4f5c\u6765\u751f\u6210\u65b0\u7684\u89e3\u51b3\u65b9\u6848\uff0c\u800c\u7c92\u5b50\u7fa4\u4f18\u5316\u7b97\u6cd5\u5219\u662f\u901a\u8fc7\u6a21\u62df\u9e1f\u7fa4\u72e9\u730e\u7684\u65b9\u5f0f\uff0c\u8c03\u6574\u4e2a\u4f53\u5728\u89e3\u7a7a\u95f4\u4e2d\u7684\u4f4d\u7f6e\uff0c\u4ece\u800c\u9010\u6e10\u903c\u8fd1\u6700\u4f18\u89e3\u3002<\/p>\n<\/p>\n<p><p>\u8fd9\u4e9b\u7b97\u6cd5\u7684\u5171\u540c\u7279\u70b9\u662f\uff0c\u90fd\u6709\u7740\u8f83\u597d\u7684\u5168\u5c40\u641c\u7d22\u80fd\u529b\uff0c\u5e76\u4e14\u5bf9\u4e8e\u521d\u59cb\u89e3\u7684\u9009\u62e9\u4e0d\u592a\u654f\u611f\uff0c\u8fd9\u4f7f\u5f97\u5b83\u4eec\u5728\u591a\u76ee\u6807\u4f18\u5316\u3001\u52a8\u6001\u73af\u5883\u4e0b\u7684\u4f18\u5316\u95ee\u9898\u4e2d\u663e\u793a\u51fa\u4e86\u5f3a\u5927\u7684\u751f\u547d\u529b\u3002\u7279\u5b9a\u6761\u4ef6\u4e0b\uff0c\u8fd9\u4e9b\u7b97\u6cd5\u751a\u81f3\u80fd\u627e\u5230\u6bd4KM\u7b97\u6cd5\u3001\u62cd\u5356\u7b97\u6cd5\u7b49\u4f20\u7edf\u6570\u5b66\u4f18\u5316\u7b97\u6cd5\u66f4\u597d\u7684\u89e3\u51b3\u65b9\u6848\uff0c\u5c24\u5176\u662f\u5f53\u4f20\u7edf\u7b97\u6cd5\u56e0\u95ee\u9898\u89c4\u6a21\u592a\u5927\u800c\u53d8\u5f97\u4e0d\u518d\u9002\u7528\u7684\u65f6\u5019\u3002<\/p>\n<\/p>\n<h2><strong>\u76f8\u5173\u95ee\u7b54FAQs\uff1a<\/strong><\/h2>\n<p><strong>1. \u5217\u4e3e\u4e00\u4e9b\u4e0e\u5308\u7259\u5229\u7b97\u6cd5\u7c7b\u4f3c\u7684\u7b97\u6cd5<\/strong><\/p>\n<ul>\n<li>\u4e8c\u5206\u56fe\u6700\u5927\u5339\u914d\u7b97\u6cd5\uff1a\u7528\u4e8e\u6c42\u89e3\u4e8c\u5206\u56fe\u4e2d\u7684\u6700\u5927\u5339\u914d\u95ee\u9898\uff0c\u4e0e\u5308\u7259\u5229\u7b97\u6cd5\u76f8\u4f3c\u4f46\u5b9e\u73b0\u65b9\u5f0f\u7565\u6709\u4e0d\u540c\u3002<\/li>\n<li>KM\u7b97\u6cd5\uff08Kuhn-Munkres\u7b97\u6cd5\uff09\uff1a\u4e5f\u79f0\u4e3a\u5308\u7259\u5229\u7b97\u6cd5\u7684\u53d8\u79cd\uff0c\u53ef\u4ee5\u7528\u4e8e\u6c42\u89e3\u6700\u5927\u6743\u503c\u4e8c\u5206\u56fe\u5339\u914d\u95ee\u9898\u3002<\/li>\n<li>Edmonds-Karp\u7b97\u6cd5\uff1a\u4e3b\u8981\u7528\u4e8e\u6c42\u89e3\u6700\u5927\u6d41\u95ee\u9898\uff0c\u5b83\u53ef\u4ee5\u770b\u4f5c\u662f\u5c06\u5308\u7259\u5229\u7b97\u6cd5\u5e94\u7528\u5230\u7f51\u7edc\u6d41\u4e2d\u7684\u4e00\u79cd\u63a8\u5e7f\u3002<\/li>\n<\/ul>\n<p><strong>2. \u9664\u4e86\u5308\u7259\u5229\u7b97\u6cd5\u548c\u5b83\u7684\u53d8\u79cd\uff0c\u8fd8\u6709\u54ea\u4e9b\u5e38\u7528\u7684\u56fe\u5339\u914d\u7b97\u6cd5\uff1f<\/strong><\/p>\n<ul>\n<li>Hopcroft-Karp\u7b97\u6cd5\uff1a\u53ef\u4ee5\u5728$O(\\sqrt{V}E)$\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e0b\u6c42\u89e3\u6700\u5927\u5339\u914d\u95ee\u9898\uff0c\u76f8\u8f83\u4e8e\u5308\u7259\u5229\u7b97\u6cd5\u6709\u66f4\u9ad8\u7684\u6548\u7387\u3002<\/li>\n<li>Ford-Fulkerson\u7b97\u6cd5\uff1a\u7528\u4e8e\u6c42\u89e3\u6700\u5927\u6d41\u95ee\u9898\uff0c\u901a\u8fc7\u4e0d\u65ad\u5bfb\u627e\u589e\u5e7f\u8def\u5f84\u6765\u8fbe\u5230\u6700\u4f18\u89e3\u3002<\/li>\n<\/ul>\n<p><strong>3. 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