{"id":2925,"date":"2024-10-28T15:47:05","date_gmt":"2024-10-28T07:47:05","guid":{"rendered":"https:\/\/www.ihub1.com\/?p=2925"},"modified":"2024-10-28T15:48:18","modified_gmt":"2024-10-28T07:48:18","slug":"%e6%9c%ac%e7%a7%91%e7%bb%8f%e5%85%b8%e7%ae%97%e6%b3%95dijkstra%ef%bc%8c%e8%a2%ab%e8%af%81%e6%98%8e%e6%98%af%e6%99%ae%e9%81%8d%e6%9c%80%e4%bc%98%e4%ba%86%ef%bc%9a%e6%9c%80%e5%9d%8f%e6%83%85%e5%86%b5","status":"publish","type":"post","link":"https:\/\/www.ihub1.com\/index.php\/2024\/10\/28\/%e6%9c%ac%e7%a7%91%e7%bb%8f%e5%85%b8%e7%ae%97%e6%b3%95dijkstra%ef%bc%8c%e8%a2%ab%e8%af%81%e6%98%8e%e6%98%af%e6%99%ae%e9%81%8d%e6%9c%80%e4%bc%98%e4%ba%86%ef%bc%9a%e6%9c%80%e5%9d%8f%e6%83%85%e5%86%b5\/","title":{"rendered":"\u672c\u79d1\u7ecf\u5178\u7b97\u6cd5Dijkstra\uff0c\u88ab\u8bc1\u660e\u662f\u666e\u904d\u6700\u4f18\u4e86\uff1a\u6700\u574f\u60c5\u51b5\u6027\u80fd\u4e5f\u6700\u4f18\uff01"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"2925\" class=\"elementor elementor-2925\">\n\t\t\t\t<div class=\"elementor-element elementor-element-99d0c46 e-flex e-con-boxed e-con e-parent\" data-id=\"99d0c46\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-dab6be6 elementor-widget elementor-widget-text-editor\" data-id=\"dab6be6\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p id=\"34G232UG\">\u65f6\u9694\u8fd1<strong>70\u5e74<\/strong>\uff0c\u90a3\u4e2a\u7528\u6765\u89e3\u51b3<strong>\u6700\u77ed\u8def\u5f84\u95ee\u9898<\/strong>\u7684\u7ecf\u5178\u7b97\u6cd5\u2014\u2014<strong>Dijkstra<\/strong>\uff0c\u73b0\u5728\u6709\u4e86\u65b0\u7a81\u7834\uff1a<\/p><p>\u00a0<\/p><blockquote id=\"34G23312\">\u88ab\u8bc1\u660e\u5177\u6709\u666e\u904d\u6700\u4f18\u6027\uff08Universal Optimality\uff09\u3002<\/blockquote><p>\u00a0<\/p><p id=\"34G232UI\">\u4ec0\u4e48\u610f\u601d\uff1f<\/p><p id=\"34G232UJ\">\u8fd9\u5c31\u610f\u5473\u7740\u4e0d\u8bba\u5b83\u9762\u5bf9\u591a\u590d\u6742\u7684\u56fe\u7ed3\u6784\uff0c\u5373\u4fbf\u5728<strong>\u6700\u574f\u60c5\u51b5\u4e0b\u90fd\u80fd\u8fbe\u5230\u7406\u8bba\u4e0a\u7684\u6700\u4f18\u6027\u80fd\uff01<\/strong><\/p><p id=\"34G232UK\">\u800c\u4e14\u8fd9\u8fd8\u662f\u5b66\u672f\u754c<strong>\u9996\u6b21<\/strong>\u5c06\u8fd9\u4e00\u6982\u5ff5\u5e94\u7528\u4e8e\u4efb\u4f55\u5e8f\u5217\u7b97\u6cd5\u3002<\/p><p class=\"f_center\"><img decoding=\"async\" src=\"http:\/\/dingyue.ws.126.net\/2024\/1027\/9d925657g00slzz8n02aod000m300cfm.gif\" \/><br \/>\u25b3\u56fe\u6e90\uff1aQuantamagzine<\/p><p id=\"34G232UM\">\u5bf9\u4e8eDijkstra\u7b97\u6cd5\uff0c\u60f3\u5fc5\u5f88\u591a\u4eba\u80af\u5b9a\u4e0d\u4f1a\u964c\u751f\uff0c\u6bd5\u7adf\u5b83\u662f\u6bcf\u4e2a\u8ba1\u7b97\u673a<strong>\u672c\u79d1\u751f\u5fc5\u5b66<\/strong>\u7684\u5185\u5bb9\u3002<\/p><p id=\"34G232UN\">\u800c\u4e14\u4ece\u5b83\u8bde\u751f\u81f3\u4eca\uff0c\u5df2\u7ecf\u5728\u5e7f\u6cdb\u5730\u5e94\u7528\u4e8e\u6211\u4eec\u7684\u65e5\u5e38\u751f\u6d3b\u4e2d\uff0c\u4f8b\u5982\u5728<strong>\u8c37\u6b4c\u5730\u56fe<\/strong>\u3001<strong>\u82f9\u679c\u5730\u56fe<\/strong>\uff0cDijkstra\u7b97\u6cd5\u5c31\u88ab\u7528\u6765\u8ba1\u7b97\u4ece\u7528\u6237\u5f53\u524d\u4f4d\u7f6e\u5230\u76ee\u7684\u5730\u7684\u6700\u4f18\u8def\u7ebf\u3002<\/p><p id=\"34G232UO\">\u5728\u8ba1\u7b97\u673a\u7f51\u7edc\u4e2d\uff0c\u88ab\u5e7f\u6cdb\u5e94\u7528\u4e8e<strong>\u8def\u7531\u534f\u8bae<\/strong>\u4e2d\uff1b\u4f8b\u5982\u5f00\u653e\u6700\u77ed\u8def\u5f84\u4f18\u5148\uff08OSPF\uff09\u534f\u8bae\u5c31\u662f\u57fa\u4e8eDijkstra\u7b97\u6cd5\u6765\u8ba1\u7b97\u7f51\u7edc\u4e2d\u6570\u636e\u5305\u7684\u6700\u4f18\u4f20\u8f93\u8def\u5f84\u3002<\/p><p id=\"34G232UP\">\u518d\u5982<strong>\u901a\u4fe1\u7f51\u7edc\u8bbe\u8ba1<\/strong>\u3001<strong>\u673a\u5668\u4eba\u8def\u5f84\u89c4\u5212<\/strong>\u548c<strong>\u7269\u6d41\u8fd0\u8f93\u4f18\u5316<\/strong>\u7b49\u9886\u57df\uff0c\u4e5f\u662f\u5904\u5904\u90fd\u6709\u5b83\u7684\u8eab\u5f71\u3002<\/p><p class=\"f_center\"><img decoding=\"async\" src=\"https:\/\/nimg.ws.126.net\/?url=http%3A%2F%2Fdingyue.ws.126.net%2F2024%2F1027%2Fa7698da2j00slzz8n009kd000rc00ewm.jpg&amp;thumbnail=660x2147483647&amp;quality=80&amp;type=jpg\" \/><br \/><br \/><\/p><p id=\"34G232UR\">\uff08\u76f8\u5173\u6559\u7a0b\u53ef\u53c2\u8003\uff1ahttps:\/\/www.youtube.com\/watch?v=EFg3u_E6eHU\uff09<\/p><p id=\"34G232US\">\u800c\u8fd9\u9879\u96c6\u7ed3\u4e86\u82cf\u9ece\u4e16\u8054\u90a6\u7406\u5de5\u3001CMU\u3001\u666e\u6797\u65af\u987f\u7b49\u9876\u5c16\u9ad8\u6821\u79d1\u7814\u4eba\u5458\u4e4b\u529b\u7684\u7814\u7a76\uff0c\u4e00\u4e3e\u8ba9\u8fd9\u4e2a\u7ecf\u5178\u7b97\u6cd5\u8fbe\u5230\u4e86\u524d\u6240\u672a\u6709\u7684\u9ad8\u5ea6\u3002<\/p><p class=\"f_center\"><img decoding=\"async\" src=\"https:\/\/nimg.ws.126.net\/?url=http%3A%2F%2Fdingyue.ws.126.net%2F2024%2F1027%2Fed65a40dj00slzz8m0029d000u00094m.jpg&amp;thumbnail=660x2147483647&amp;quality=80&amp;type=jpg\" \/><br \/><br \/><\/p><p id=\"34G232UU\">\u54e5\u4f26\u6bd4\u4e9a\u5927\u5b66\u8ba1\u7b97\u673a\u79d1\u5b66\u5bb6Tim Roughgarden\u5728\u770b\u5b8c\u8bba\u6587\u540e\u76f4\u547c\uff1a<\/p><p>\u00a0<\/p><blockquote id=\"34G23313\">\u8fd9\u4e5f\u592a\u795e\u5947\u4e86\uff0c\u6211\u65e0\u6cd5\u60f3\u8c61\u8fd8\u6709\u6bd4\u8fd9\u66f4\u5438\u5f15\u4eba\u7684\u7814\u7a76\u3002<\/blockquote><p>\u00a0<\/p><p id=\"34G232V0\">\u636e\u6089\uff0c\u8fd9\u7bc7\u8bba\u6587\u5df2\u7ecf\u65a9\u83b7\u4e0b\u5468\u5373\u5c06\u4e3e\u529e\u7684<strong>\u7406\u8bba\u8ba1\u7b97\u673a\u9876\u4f1aFOCS 2024<\/strong>\uff08\u8ba1\u7b97\u673a\u79d1\u5b66\u57fa\u7840\u7814\u8ba8\u4f1a\uff09\u7684<strong>\u6700\u4f73\u8bba\u6587<\/strong>\u3002<\/p><p class=\"f_center\"><img decoding=\"async\" src=\"http:\/\/dingyue.ws.126.net\/2024\/1027\/fa880c40g00slzz8m00eud000hs009zm.gif\" \/><br \/><br \/><\/p><p id=\"34G232V2\">\u4e00\u8a00\u853d\u4e4b\uff0c\u73b0\u5728\u7684Dijkstra\u7b97\u6cd5\uff0c\u5df2\u7ecf\u88ab\u8bc1\u660e\u662f\u89e3\u51b3\u5355\u6e90\u6700\u77ed\u8def\u5f84\u95ee\u9898\u7684\u201c\u8fd1\u4e4e\u7406\u60f3\u201d\u7684\u65b9\u6cd5\u3002<\/p><p id=\"34G232V3\">\u90a3\u4e48\u8fd9\u9879\u7814\u7a76\u53c8\u662f\u5982\u4f55\u8bc1\u660e\u548c\u4f18\u5316\u7684\u5462\uff1f<\/p><p>\u00a0<\/p><h5>70\u5e74\u7ecf\u5178\u7b97\u6cd5\u65b0\u7a81\u7834<\/h5><p>\u00a0<\/p><p id=\"34G232V4\">\u9996\u5148\uff0c\u6211\u4eec\u5148\u901a\u8fc7\u4e00\u4e2a\u4f8b\u5b50\uff0c\u7b80\u5355\u56de\u987e\u4e00\u4e0bDijkstra\u7b97\u6cd5\u3002<\/p><p id=\"34G232V5\">\u5982\u4e0b\u56fe\u6240\u793a\uff0cDijkstra\u7b97\u6cd5\u5bfb\u627e\u6700\u77ed\u8def\u5f84\u7684\u65b9\u6cd5\uff0c\u5927\u81f4\u53ef\u4ee5\u5206\u4e3a\u56db\u6b65\uff1a<\/p><p>\u00a0<\/p><ol><li id=\"34G2330T\"><strong>\u4ece\u8d77\u70b9\u51fa\u53d1<\/strong>\uff1a\u9009\u62e9\u8d77\u70b9A\u3002\u8ba1\u7b97\u4eceA\u5230\u90bb\u8fd1\u70b9\u7684\u8ddd\u79bb\uff0c\u4f8b\u5982\u5230B\u7684\u8ddd\u79bb\u4e3a1\uff0c\u5230C\u7684\u8ddd\u79bb\u4e3a5\u3002\u9009\u62e9\u8f83\u77ed\u7684\u8def\u5f84\uff0c\u5373\u5148\u524d\u5f80B\u3002<\/li><li id=\"34G2330U\"><strong>\u7ee7\u7eed\u63a2\u7d22<\/strong>\uff1a\u4ece\u65b0\u7684\u70b9\uff08B\uff09\u7ee7\u7eed\u67e5\u627e\u90bb\u8fd1\u70b9\u7684\u8ddd\u79bb\uff0c\u5e76\u5c06\u8fd9\u4e9b\u8ddd\u79bb\u52a0\u4e0a\u4eceA\u5230B\u7684\u8ddd\u79bb\u3002\u4f8b\u5982\uff0c\u4eceA\u5230B\u7684\u8ddd\u79bb\u662f1\uff0cB\u5230D\u7684\u8ddd\u79bb\u662f1\uff0c\u56e0\u6b64A\u5230D\u7684\u603b\u8ddd\u79bb\u4e3a2\uff081 + 1 = 2\uff09\u3002\u66f4\u65b0\u5df2\u77e5\u7684\u6700\u77ed\u8def\u5f84\u3002<\/li><li id=\"34G2330V\"><strong>\u8bb0\u5f55\u65b0\u7684\u6700\u77ed\u8def\u5f84<\/strong>\uff1a\u5728\u63a2\u7d22\u8fc7\u7a0b\u4e2d\u53d1\u73b0\u66f4\u77ed\u7684\u8def\u5f84\u65f6\uff0c\u66f4\u65b0\u8bb0\u5f55\u3002\u4f8b\u5982\uff0cA\u5230C\u7684\u539f\u59cb\u8ddd\u79bb\u662f5\uff0c\u4f46\u901a\u8fc7B\u548cD\u7684\u8def\u5f84\u5230C\u7684\u603b\u8ddd\u79bb\u662f3\uff081 + 1 + 1 = 3\uff09\uff0c\u6bd4\u539f\u6765\u7684\u8ddd\u79bb\u77ed\uff0c\u56e0\u6b64\u66f4\u65b0A\u5230C\u7684\u8ddd\u79bb\u4e3a3\u3002<\/li><li id=\"34G23310\"><strong>\u91cd\u590d\u6b65\u9aa4\uff0c\u76f4\u5230\u8986\u76d6\u6240\u6709\u70b9<\/strong>\uff1a\u7b97\u6cd5\u7ee7\u7eed\u904d\u5386\uff0c\u76f4\u5230\u6240\u6709\u8282\u70b9\u7684\u6700\u77ed\u8def\u5f84\u90fd\u88ab\u786e\u5b9a\u3002\u6bcf\u6b21\u4f18\u5148\u9009\u62e9\u8ddd\u79bb\u6700\u77ed\u7684\u8def\u5f84\u8fdb\u884c\u4e0b\u4e00\u6b65\u8ba1\u7b97\uff0c\u9010\u6b65\u4f18\u5316\u5230\u6bcf\u4e2a\u70b9\u7684\u6700\u77ed\u8def\u5f84\u3002<\/li><\/ol><p>\u00a0<\/p><p class=\"f_center\"><img decoding=\"async\" src=\"https:\/\/nimg.ws.126.net\/?url=http%3A%2F%2Fdingyue.ws.126.net%2F2024%2F1027%2F295243e8j00slzz8m005ld000u00262m.jpg&amp;thumbnail=660x2147483647&amp;quality=80&amp;type=jpg\" \/><br \/>\u25b3\u56fe\u6e90\uff1aQuantamagzine<\/p><p id=\"34G232V7\">\u6700\u7ec8\uff0cDijkstra\u7b97\u6cd5\u53ef\u4ee5\u5feb\u901f\u627e\u5230\u7f51\u7edc\u4e2d\u4ece\u8d77\u59cb\u70b9\u5230\u5176\u4ed6\u6240\u6709\u8282\u70b9\u7684\u6700\u77ed\u8def\u5f84\u3002<\/p><p id=\"34G232V8\">\u5728\u6700\u521d\u7684Dijkstra\u7b97\u6cd5\u8bba\u6587\u4e2d\u4f7f\u7528\u5230\u4e86\u4e00\u4e2a\u7b80\u5355\u4e14\u5173\u952e\u7684\u6570\u636e\u7ed3\u6784\u2014\u2014<strong>\u5806\uff08Heap\uff09<\/strong>\uff0c\u800c\u8fd9\u5c31\u4e3a\u540e\u6765\u7684\u8ba1\u7b97\u673a\u79d1\u5b66\u5bb6\u4eec\u7559\u4e0b\u4e86\u6539\u8fdb\u7684\u4f59\u5730\u3002<\/p><p id=\"34G232V9\">\u4f8b\u59821984\u5e74\uff0c\u4e24\u4f4d\u8ba1\u7b97\u673a\u79d1\u5b66\u5bb6\u8bbe\u8ba1\u4e86\u4e00\u79cd\u5de7\u5999\u7684\u5806\u6570\u636e\u7ed3\u6784\uff0c\u4f7f\u5f97Dijkstra\u7b97\u6cd5\u5728\u89e3\u51b3\u5355\u6e90\u6700\u77ed\u8def\u5f84\u95ee\u9898\u6240\u9700\u7684\u65f6\u95f4\u4e0a\u8fbe\u5230\u4e86\u7406\u8bba\u6781\u9650\u6216\u201c\u4e0b\u9650\u201d\u3002<\/p><p id=\"34G232VA\">\u4ece\u67d0\u79cd\u7279\u5b9a\u610f\u4e49\u4e0a\u8bf4\uff0c\u8fd9\u4e2a\u7248\u672c\u7684Dijkstra\u7b97\u6cd5\u5df2\u7ecf\u53ef\u4ee5\u8bf4\u662f\u6700\u597d\u7684\uff0c\u4e5f\u662f\u8fd140\u5e74\u6765\u7684\u4e00\u79cd\u201c\u6807\u51c6\u201d\u3002<\/p><p id=\"34G232VB\">\u800c\u8fd9\u6b21\u7684\u6700\u65b0\u8bba\u6587\uff0c\u7814\u7a76\u4eba\u5458\u7684<strong>\u7a81\u7834\u53e3<\/strong>\u4f9d\u65e7\u662f\u8fd9\u4e2a\u5806\u6570\u636e\u7ed3\u6784\u3002<\/p><p id=\"34G232VC\">\u56e0\u4e3a\u4ed6\u4eec\u53d1\u73b0\uff0c\u50cfFibonacci\u5806\u7b49\u5e38\u7528\u7684\u6570\u636e\u7ed3\u6784\u867d\u7136\u5728\u7406\u8bba\u4e0a\u5177\u6709\u8f83\u597d\u7684\u6700\u574f\u60c5\u51b5\u65f6\u95f4\u590d\u6742\u5ea6\uff08Worst-case time complexity\uff09\uff0c\u4f46\u5728\u5f88\u591a\u60c5\u51b5\u4e0b\u672a\u80fd\u5145\u5206\u5229\u7528\u56fe\u7684\u5c40\u90e8\u7ed3\u6784\u7279\u6027\u3002<\/p><p id=\"34G232VD\">\u8fd9\u5c31\u5bfc\u81f4\u5728\u5904\u7406\u67d0\u4e9b\u7c7b\u578b\u7684\u56fe\u65f6\uff0c\u4ecd\u7136\u9700\u8981\u9ad8\u6602\u7684\u8ba1\u7b97\u4ee3\u4ef7\u3002<\/p><p id=\"34G232VE\">\u4f46\u5982\u679c\u57281984\u5e74\u8bbe\u8ba1\u7684\u5806\u57fa\u7840\u4e0a\u52a0\u5165\u5bf9\u6700\u8fd1\u63d2\u5165\u9879\u5feb\u901f\u8bbf\u95ee\u7684\u80fd\u529b\uff0c\u5c31\u53ef\u4ee5\u663e\u8457\u63d0\u5347\u7b97\u6cd5\u7684\u6548\u7387\u3002<\/p><p id=\"34G232VF\">\u4e3a\u6b64\uff0c\u7814\u7a76\u4eba\u5458\u63d0\u51fa\u4e86\u4e00\u79cd\u5168\u65b0\u7684\u5806\u6570\u636e\u7ed3\u6784\u2014\u2014\u5177\u5907\u7279\u6b8a\u7684\u00a0<strong>\u201c\u5de5\u4f5c\u96c6\u5c5e\u6027\u201d\uff08Working Set Property\uff09<\/strong>\u00a0\u3002<\/p><p id=\"34G232VG\">\u6240\u8c13 \u201c\u5de5\u4f5c\u96c6\u5c5e\u6027\u201d \uff0c\u6307\u7684\u662f\u5806\u80fd\u591f\u5145\u5206\u5229\u7528\u64cd\u4f5c\u7684\u5c40\u90e8\u6027\uff0c\u4ece\u800c\u4f18\u5148\u5904\u7406\u6700\u8fd1\u63d2\u5165\u7684\u5143\u7d20\uff0c\u964d\u4f4e\u63d0\u53d6\u6700\u5c0f\u5143\u7d20\u7684\u6210\u672c\u3002<\/p><p id=\"34G232VH\">\u8fd9\u4e2a\u6982\u5ff5\u7c7b\u4f3c\u4e8e\u6211\u4eec\u5728\u7ba1\u7406\u5f85\u529e\u4e8b\u9879\u65f6\uff0c\u4f1a\u4f18\u5148\u5904\u7406\u90a3\u4e9b\u521a\u521a\u6dfb\u52a0\u7684\u7d27\u6025\u4efb\u52a1\uff0c\u4ece\u800c\u66f4\u9ad8\u6548\u5730\u5b8c\u6210\u5de5\u4f5c\u3002<\/p><p id=\"34G232VI\">\u82e5\u662f\u7528\u516c\u5f0f\u5316\u7684\u8868\u8ff0\uff0c\u5c31\u5982\u4e0b\u56fe\u6240\u793a\u3002<\/p><p id=\"34G232VJ\">\u5bf9\u4e8e\u5728\u5806\u4e2d\u63d2\u5165\u5e76\u968f\u540e\u88ab\u63d0\u53d6\u7684\u4efb\u610f\u5143\u7d20x\uff0c\u5176\u5de5\u4f5c\u96c6Wx\u5305\u62ec\u4e86\u5728x\u88ab\u63d2\u5165\u540e\u3001\u5728x\u88ab\u63d0\u53d6\u524d\u63d2\u5165\u7684\u6240\u6709\u5143\u7d20\uff0c\u4ee5\u53cax\u672c\u8eab\u3002<\/p><p class=\"f_center\"><img decoding=\"async\" src=\"https:\/\/nimg.ws.126.net\/?url=http%3A%2F%2Fdingyue.ws.126.net%2F2024%2F1027%2Fb12e9a8dj00slzz8m000pd000u0007gm.jpg&amp;thumbnail=660x2147483647&amp;quality=80&amp;type=jpg\" \/><br \/><br \/><\/p><p id=\"34G232VL\">\u501f\u52a9\u8fd9\u79cd\u201c\u5de5\u4f5c\u96c6\u5c5e\u6027\u201d\uff0c\u65b0\u8bbe\u8ba1\u7684\u5806\u6570\u636e\u7ed3\u6784\u80fd\u591f\u663e\u8457\u63d0\u5347Dijkstra\u7b97\u6cd5\u7684\u6574\u4f53\u6027\u80fd\uff0c\u5c24\u5176\u662f\u5728\u5177\u6709\u5c40\u90e8\u6027\u7279\u5f81\u7684\u56fe\u4e0a\u3002<\/p><p id=\"34G232VM\">\u4e5f\u6210\u529f\u4f7fDijkstra\u7b97\u6cd5\u5177\u5907\u4e86\u666e\u904d\u6700\u4f18\u6027\uff0c\u4e0d\u4ec5\u5728\u6700\u574f\u60c5\u51b5\u4e0b\u5177\u6709\u6700\u4f18\u6027\uff0c\u8fd8\u80fd\u5728\u4efb\u4f55\u56fe\u7ed3\u6784\u4e0a\u8868\u73b0\u51fa\u8272\u3002<\/p><p id=\"34G232VN\">\u4e0d\u4ec5\u5982\u6b64\uff0c\u8fd9\u9879\u5de5\u4f5c\u8fd8\u63d0\u4f9b\u4e86<strong>\u7cbe\u786e\u7684\u590d\u6742\u5ea6\u5206\u6790<\/strong>\u3002<\/p><p id=\"34G232VO\">\u4f8b\u5982\uff0c\u4f5c\u8005\u8bc1\u660e\u4e86Dijkstra\u7b97\u6cd5\u5728\u5177\u6709\u5de5\u4f5c\u96c6\u5c5e\u6027\u7684\u5806\u4e0a\u7684\u6bd4\u8f83\u6b21\u6570\u662fO(OPTQ(G)+n+max\u2061w\u2208WG\u2223FG,w\u2223)\u3002<\/p><p id=\"34G232VP\">\u5176\u4e2d\uff0cOPTQ(G)\u662f\u89e3\u51b3\u8ddd\u79bb\u6392\u5e8f\u95ee\u9898\u7684\u6700\u4f18\u7b97\u6cd5\u6240\u9700\u7684\u6bd4\u8f83\u6b21\u6570\uff0cn\u662f\u9876\u70b9\u6570\uff0c\u2223FG,w\u2223\u662f\u524d\u5411\u8fb9\u7684\u6570\u91cf\u3002<\/p><p id=\"34G232VQ\">\u8fd9\u4e5f\u4e3a\u7b97\u6cd5\u7684\u6027\u80fd\u63d0\u4f9b\u4e86\u66f4\u7cbe\u786e\u7684\u754c\u9650\u3002<\/p><p class=\"f_center\"><img decoding=\"async\" src=\"https:\/\/nimg.ws.126.net\/?url=http%3A%2F%2Fdingyue.ws.126.net%2F2024%2F1027%2Fb33241e1j00slzz8n004rd000u000a6m.jpg&amp;thumbnail=660x2147483647&amp;quality=80&amp;type=jpg\" \/><br \/><br \/><\/p><p id=\"34G232VS\">\u603b\u800c\u8a00\u4e4b\uff0c\u8fd9\u4e9b\u6210\u679c\u4e0d\u4ec5\u63a8\u52a8\u4e86\u56fe\u7b97\u6cd5\u7684\u7814\u7a76\uff0c\u4e5f\u4e3a\u5b9e\u9645\u5e94\u7528\u4e2d\u7684\u7b97\u6cd5\u8bbe\u8ba1\u63d0\u4f9b\u4e86\u65b0\u7684\u89c6\u89d2\u548c\u5de5\u5177\u3002<\/p><p>\u00a0<\/p><h5>\u559d\u5496\u5561\u65f6\u8bde\u751f\u7684\u7b97\u6cd5<\/h5><p>\u00a0<\/p><p id=\"34G232VT\">\u5173\u4e8eDijkstra\u7b97\u6cd5\u8bde\u751f\u7684\u6545\u4e8b\uff0c\u5176\u5b9e\u662f\u59cb\u4e8e\u4e00\u6b21\u610f\u5916\u7684\u7075\u611f\u3002<\/p><p id=\"34G232VU\">1956\u5e74\uff0c\u5e74\u4ec526\u5c81\u7684\u8377\u5170\u8ba1\u7b97\u673a\u79d1\u5b66\u5bb6<strong>Edsger Dijkstra<\/strong>\u5f53\u65f6\u6b63\u8bd5\u56fe\u4e3a\u4e00\u53f0\u65b0\u578b\u8ba1\u7b97\u673aARMAC\u7f16\u5199\u4e00\u4e2a\u7a0b\u5e8f\uff0c\u6765\u5c55\u793a\u5b83\u7684\u8ba1\u7b97\u80fd\u529b\u3002<\/p><p class=\"f_center\"><img decoding=\"async\" src=\"https:\/\/nimg.ws.126.net\/?url=http%3A%2F%2Fdingyue.ws.126.net%2F2024%2F1027%2F8e3772efj00slzz8p02dsd000u00130m.jpg&amp;thumbnail=660x2147483647&amp;quality=80&amp;type=jpg\" \/><br \/><br \/><\/p><p id=\"34G23300\">\u6709\u4e00\u5929\uff0c\u4ed6\u548c\u672a\u5a5a\u59bb\u5728\u963f\u59c6\u65af\u7279\u4e39\u8d2d\u7269\u65f6\u8d70\u8fdb\u4e86\u4e00\u5bb6\u5496\u5561\u9986\uff0c\u6b63\u662f\u5728\u4f11\u606f\u7684\u7247\u523b\u4e2d\uff0cDijkstra\u7a81\u7136\u6709\u4e86\u7075\u611f\uff0c\u60f3\u51fa\u4e86\u4e00\u4e2a\u8ba1\u7b97\u6700\u77ed\u8def\u5f84\u7684\u7b97\u6cd5\u3002<\/p><p id=\"34G23301\">\u5728<strong>\u6ca1\u6709\u7eb8\u548c\u7b14<\/strong>\u7684\u60c5\u51b5\u4e0b\uff0c\u4ed6\u82b1\u4e86\u5927\u7ea620\u5206\u949f\u5728\u8111\u6d77\u4e2d\u63a8\u6f14\u51fa\u4e86\u8fd9\u4e2a\u7b97\u6cd5\u7684\u7ec6\u8282\u3002<\/p><p id=\"34G23302\">\u6b63\u5982\u4ed6\u5728\u665a\u5e74\u4e00\u6b21\u91c7\u8bbf\u4e2d\u6240\u8bf4\u7684\u90a3\u6837\uff1a<\/p><p>\u00a0<\/p><blockquote id=\"34G23314\">\u6ca1\u6709\u7eb8\u7b14\u7684\u60c5\u51b5\u4e0b\uff0c\u4f60\u51e0\u4e4e\u88ab\u8feb\u907f\u514d\u6240\u6709\u53ef\u4ee5\u907f\u514d\u7684\u590d\u6742\u6027\u3002<\/blockquote><p>\u00a0<\/p><p id=\"34G23304\">\u4e5f\u6b63\u662f\u8fd9\u79cd\u7b80\u6d01\u548c\u4f18\u96c5\uff0c\u4f7f\u5f97Dijkstra\u7b97\u6cd5\u5728\u968f\u540e\u7684\u51e0\u5341\u5e74\u91cc\u6210\u4e3a\u8ba1\u7b97\u673a\u79d1\u5b66\u9886\u57df\u7684\u7ecf\u5178\u3002<\/p><p id=\"34G23305\">Edsger Dijkstra\u53ef\u4ee5\u8bf4\u662f\u4e00\u4f4d\u6781\u5177\u5f71\u54cd\u529b\u7684\u8ba1\u7b97\u673a\u79d1\u5b66\u5bb6\uff0c\u4ed6\u4e0d\u4ec5\u4ee5\u5176\u6700\u77ed\u8def\u5f84\u7b97\u6cd5\u95fb\u540d\uff0c\u8fd8\u5bf9\u8ba1\u7b97\u673a\u79d1\u5b66\u7684\u8bb8\u591a\u57fa\u7840\u9886\u57df\u505a\u51fa\u4e86\u5f00\u521b\u6027\u7684\u8d21\u732e\u3002<\/p><p id=\"34G23306\">Dijkstra\u51fa\u751f\u4e8e1930\u5e74\uff0c\u7236\u4eb2\u662f\u4e00\u4f4d\u5316\u5b66\u5bb6\uff0c\u6bcd\u4eb2\u662f\u4e00\u4f4d\u51fa\u8272\u7684\u6570\u5b66\u5bb6\u3002<\/p><p id=\"34G23307\">1951 \u5e74\uff0cDijkstra\u5728\u7236\u4eb2\u7684\u5efa\u8bae\u4e0b\u524d\u5f80\u5251\u6865\u53c2\u52a0\u4e86\u4e00\u95e8\u4e3a\u671f\u4e09\u5468\u7684\u7f16\u7a0b\u8bfe\u7a0b\uff0c\u8fd9\u6b21\u7ecf\u5386\u6539\u53d8\u4e86\u4ed6\u7684\u804c\u4e1a\u8f68\u8ff9\u3002<\/p><p id=\"34G23308\">\u5728\u6b64\u671f\u95f4\uff0c\u4ed6\u9047\u5230\u4e86\u8457\u540d\u7684\u6570\u5b66\u5bb6\u548c\u8ba1\u7b97\u673a\u79d1\u5b66\u5bb6Adriaan van Wijngaarden\uff0c\u5e76\u7531\u6b64\u83b7\u5f97\u4e86\u5728\u963f\u59c6\u65af\u7279\u4e39\u6570\u5b66\u4e2d\u5fc3\uff08Mathematical Centre\uff09\u7684\u5de5\u4f5c\u673a\u4f1a\u3002<\/p><p id=\"34G23309\">Dijkstra\u662f\u8377\u5170\u9996\u4f4d\u4ee5\u201c\u7a0b\u5e8f\u5458\u201d\u8eab\u4efd\u88ab\u96c7\u4f63\u7684\u4eba\uff0c1956\u5e74\u5b8c\u6210\u5b66\u4e1a\u540e\uff0c\u4ed6\u7ee7\u7eed\u5728\u6570\u5b66\u4e2d\u5fc3\u5de5\u4f5c\uff0c\u5e76\u4e8e1959\u5e74\u53d1\u8868\u4e86\u4ed6\u7684\u8457\u540d\u8bba\u6587<strong>A Note on Two Problems in Connexion with Graphs<\/strong>\u3002<\/p><p class=\"f_center\"><img decoding=\"async\" src=\"https:\/\/nimg.ws.126.net\/?url=http%3A%2F%2Fdingyue.ws.126.net%2F2024%2F1027%2Fbe1d5196j00slzz8n00ged000u000mfm.jpg&amp;thumbnail=660x2147483647&amp;quality=80&amp;type=jpg\" \/><br \/><br \/><\/p><p id=\"34G2330B\">\u8fd9\u7bc7\u8bba\u6587\u4ecb\u7ecd\u4e86\u4ed6\u63d0\u51fa\u7684\u6700\u77ed\u8def\u5f84\u7b97\u6cd5\uff0c\u540e\u6765\u6210\u4e3a\u4e86\u8ba1\u7b97\u673a\u79d1\u5b66\u4e2d<strong>\u5f15\u7528\u6b21\u6570\u6700\u591a\u7684\u8bba\u6587\u4e4b\u4e00<\/strong>\u3002<\/p><p id=\"34G2330C\">\u5c3d\u7ba1Dijkstra\u7684\u7b97\u6cd5\u5341\u5206\u4f18\u96c5\uff0c\u4f46\u5f53\u65f6\u51e0\u4e4e\u6ca1\u6709\u8ba1\u7b97\u673a\u79d1\u5b66\u671f\u520a\uff0c\u53d1\u8868\u8fc7\u7a0b\u5341\u5206\u56f0\u96be\uff0c\u6700\u7ec8\u4ed6\u9009\u62e9\u5c06\u5176\u53d1\u8868\u4e8e\u65b0\u521b\u520aNumerische Mathematik\u4e0a\u3002<\/p><p id=\"34G2330D\">Dijkstra\u5728\u804c\u4e1a\u751f\u6daf\u4e2d\u8d62\u5f97\u4e86\u6781\u9ad8\u7684\u58f0\u8a89\uff0c\u5e76\u4e8e1972\u5e74\u83b7\u5f97\u8ba1\u7b97\u673a\u79d1\u5b66\u9886\u57df\u6700\u8d1f\u76db\u540d\u7684\u56fe\u7075\u5956\u3002<\/p><p id=\"34G2330E\">\u4ed6\u4e0d\u4ec5\u5728\u7f16\u7a0b\u8bed\u8a00\u3001\u64cd\u4f5c\u7cfb\u7edf\u548c\u5e76\u53d1\u63a7\u5236\u7b49\u9886\u57df\u505a\u51fa\u4e86\u8bb8\u591a\u57fa\u7840\u6027\u8d21\u732e\uff0c\u8fd8\u4ee5\u5176\u5bf9\u7f16\u7a0b\u65b9\u6cd5\u5b66\u7684\u6df1\u5165\u601d\u8003\u800c\u8457\u79f0\u3002<\/p><p id=\"34G2330F\">\u4ed6\u5f3a\u8c03\u7a0b\u5e8f\u7684\u6b63\u786e\u6027\uff0c\u8ba4\u4e3a\u7a0b\u5e8f\u5e94\u8be5\u4ece\u4e00\u5f00\u59cb\u5c31\u6b63\u786e\u5730\u8bbe\u8ba1\uff0c\u800c\u4e0d\u662f\u901a\u8fc7\u8c03\u8bd5\u6765\u8fbe\u5230\u6b63\u786e\u3002<\/p><p id=\"34G2330G\">\u4e0d\u8fc7\u4e0e\u6b64\u540c\u65f6\uff0cDijkstra\u7684\u6027\u683c\u4e5f\u975e\u5e38\u72ec\u7279\uff0c\u4ed6\u65e2\u88ab\u8d5e\u8d4f\u4e5f\u88ab\u6279\u8bc4\uff0c\u662f\u4e00\u4f4d\u5145\u6ee1\u4e89\u8bae\u7684\u4eba\u7269\u3002<\/p><p id=\"34G2330H\">\u4ed6\u5bf9\u4e8e\u8ba1\u7b97\u673a\u79d1\u5b66\u7684\u6559\u80b2\u548c\u7814\u7a76\u6709\u7740\u5f3a\u70c8\u7684\u89c2\u70b9\uff0c\u5e38\u5e38\u53d1\u8868\u6781\u5177\u6311\u6218\u6027\u7684\u8a00\u8bba\u3002<\/p><p id=\"34G2330I\">\u4f8b\u5982\uff0c\u4ed6\u53cd\u5bf9\u4f7f\u7528goto\u8bed\u53e5\uff0c\u5e76\u57281968\u5e74\u53d1\u8868\u4e86\u8457\u540d\u7684\u6587\u7ae0Go To Statement Considered Harmful\uff0c\u8fd9\u7bc7\u6587\u7ae0\u5f15\u53d1\u4e86\u5e7f\u6cdb\u7684\u4e89\u8bae\uff0c\u4f46\u6700\u7ec8\u4ed6\u7684\u89c2\u70b9\u5f97\u5230\u4e86\u666e\u904d\u8ba4\u53ef\u3002<\/p><p class=\"f_center\"><img decoding=\"async\" src=\"https:\/\/nimg.ws.126.net\/?url=http%3A%2F%2Fdingyue.ws.126.net%2F2024%2F1027%2F0c89c496j00slzz8n00kud000m800f8m.jpg&amp;thumbnail=660x2147483647&amp;quality=80&amp;type=jpg\" \/><br \/><br \/><\/p><p id=\"34G2330K\">Dijkstra\u7b97\u6cd5\u4e0d\u4ec5\u53ef\u4ee5\u8ba1\u7b97\u4ece\u8d77\u59cb\u70b9\u5230\u4e00\u4e2a\u76ee\u7684\u5730\u7684\u6700\u77ed\u8def\u5f84\uff0c\u8fd8\u53ef\u4ee5\u7ed9\u51fa\u4ece\u8d77\u59cb\u70b9\u5230\u6240\u6709\u5176\u4ed6\u8282\u70b9\u7684\u6392\u5e8f\uff0c\u8fd9\u6b63\u662f\u5355\u6e90\u6700\u77ed\u8def\u5f84\u95ee\u9898\u7684\u89e3\u51b3\u65b9\u6848\u3002<\/p><p id=\"34G2330L\">\u5b83\u7684\u6838\u5fc3\u601d\u60f3\u662f\u4e0d\u65ad\u63a2\u7d22\u5f53\u524d\u8ddd\u79bb\u6700\u77ed\u7684\u8def\u5f84\uff0c\u66f4\u65b0\u6bcf\u4e2a\u8282\u70b9\u7684\u6700\u77ed\u8ddd\u79bb\uff0c\u76f4\u5230\u6240\u6709\u8282\u70b9\u7684\u8ddd\u79bb\u90fd\u786e\u5b9a\u4e0b\u6765\u3002<\/p><p id=\"34G2330M\">\u8fd9\u79cd\u7b97\u6cd5\u7684\u7b80\u6d01\u6027\u548c\u9ad8\u6548\u6027\u4f7f\u5f97\u5b83\u6210\u4e3a\u7ecf\u5178\u7684\u8def\u5f84\u89c4\u5212\u5de5\u5177\u3002<\/p><p id=\"34G2330N\">\u9ebb\u7701\u7406\u5de5\u5b66\u9662\u7684\u8ba1\u7b97\u673a\u79d1\u5b66\u5bb6Erik Demaine\u66fe\u8bc4\u8bba\u9053\uff1a<\/p><p>\u00a0<\/p><blockquote id=\"34G23315\">\u8fd9\u662f\u4e00\u4e2a\u4f1f\u5927\u7684\u7b97\u6cd5\uff0c\u901f\u5ea6\u975e\u5e38\u5feb\uff0c\u7b80\u5355\u6613\u5b9e\u73b0\u3002<\/blockquote><p>\u00a0<\/p><p id=\"34G2330P\">\u4f46\u7b97\u6cd5\u7684\u6210\u529f\u4e0d\u4ec5\u5f52\u529f\u4e8e\u5176\u6838\u5fc3\u601d\u60f3\uff0c\u8fd8\u79bb\u4e0d\u5f00\u6570\u636e\u7ed3\u6784\u7684\u9009\u62e9\uff0c\u5728\u51e0\u5341\u5e74\u7684\u53d1\u5c55\u4e2d\uff0c\u7814\u7a76\u4eba\u5458\u4e0d\u65ad\u6539\u8fdb\u5806\u6570\u636e\u7ed3\u6784\uff0c\u4f7f\u5f97\u7b97\u6cd5\u7684\u6574\u4f53\u6027\u80fd\u4e0d\u65ad\u63d0\u5347\u3002<\/p><p id=\"34G2330Q\">\u800c\u8fd9\u4e00\u6b21\uff0c\u6539\u826f\u5806\u6570\u636e\u7ed3\u6784\uff0c\u53ef\u4ee5\u8bf4\u662f\u518d\u6b21\u7acb\u529f\u4e86\u3002<\/p><p id=\"34G2330R\">\u8bba\u6587\u5730\u5740\uff1a<br \/>https:\/\/arxiv.org\/abs\/2311.11793<\/p><p id=\"34G2330S\">\u53c2\u8003\u94fe\u63a5\uff1a<br \/>[1]https:\/\/www.quantamagazine.org\/computer-scientists-establish-the-best-way-to-traverse-a-graph-20241025\/<br \/>[2]https:\/\/inference-review.com\/article\/the-man-who-carried-computer-science-on-his-shoulders<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>\u91d1\u78ca \u53d1\u81ea \u51f9\u975e\u5bfa<\/p>\n","protected":false},"author":1,"featured_media":2927,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-2925","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-uncategorized"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.ihub1.com\/index.php\/wp-json\/wp\/v2\/posts\/2925","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ihub1.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.ihub1.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.ihub1.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ihub1.com\/index.php\/wp-json\/wp\/v2\/comments?post=2925"}],"version-history":[{"count":11,"href":"https:\/\/www.ihub1.com\/index.php\/wp-json\/wp\/v2\/posts\/2925\/revisions"}],"predecessor-version":[{"id":2937,"href":"https:\/\/www.ihub1.com\/index.php\/wp-json\/wp\/v2\/posts\/2925\/revisions\/2937"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.ihub1.com\/index.php\/wp-json\/wp\/v2\/media\/2927"}],"wp:attachment":[{"href":"https:\/\/www.ihub1.com\/index.php\/wp-json\/wp\/v2\/media?parent=2925"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ihub1.com\/index.php\/wp-json\/wp\/v2\/categories?post=2925"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ihub1.com\/index.php\/wp-json\/wp\/v2\/tags?post=2925"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}