{"id":916,"date":"2026-01-27T04:01:14","date_gmt":"2026-01-27T04:01:14","guid":{"rendered":"https:\/\/learndeeplytw.com\/?p=916"},"modified":"2026-01-27T07:29:11","modified_gmt":"2026-01-27T07:29:11","slug":"dominating-sets","status":"publish","type":"post","link":"https:\/\/learndeeplytw.com\/zh_tw\/dominating-sets\/","title":{"rendered":"\u51b0\u6dc7\u6dcb\u8eca\u5927\u4f5c\u6230\uff01\u7528\u300c\u65c5\u904a\u5c0f\u93ae\u300d\u6311\u6230\u96fb\u8166\u4e5f\u7b97\u4e0d\u51fa\u4f86\u7684\u96e3\u984c(Dominating Sets)"},"content":{"rendered":"\n<p class=\"\">\u5728\u708e\u71b1\u7684\u590f\u5929\uff0c\u6c92\u6709\u4ec0\u9ebc\u6bd4\u4e00\u652f\u51b0\u6dc7\u6dcb\u66f4\u68d2\u4e86\uff01<\/p>\n\n\n\n<p class=\"\">\u4f46\u5c0d\u65bc\u300c\u65c5\u904a\u5c0f\u93ae\u300d\u7684\u93ae\u9577\u4f86\u8aaa\uff0c\u9019\u662f\u4e00\u500b\u982d\u75db\u7684\u5927\u554f\u984c\u3002\u93ae\u4e0a\u7684\u8857\u9053\u932f\u7d9c\u8907\u96dc\uff0c\u4ed6\u60f3\u5728\u8def\u53e3\u8a2d\u7f6e\u51b0\u6dc7\u6dcb\u8eca\uff0c\u4f46\u4ed6\u7d93\u8cbb\u6709\u9650\uff0c\u8cb7\u4e0d\u8d77\u592a\u591a\u8f1b\u8eca\u3002<\/p>\n\n\n\n<p class=\"\">\u4ed6\u7684\u76ee\u6a19\u662f\uff1a\u7528\u6700\u5c11\u7684\u51b0\u6dc7\u6dcb\u8eca\uff0c\u8b93\u6bcf\u4e00\u500b\u8def\u53e3\u7684\u5c45\u6c11\uff0c\u53ea\u8981\u8d70\u4e00\u5c0f\u6bb5\u8def\uff08\u6700\u591a\u7d93\u904e\u4e00\u689d\u8857\u9053\uff09\uff0c\u5c31\u80fd\u8cb7\u5230\u51b0\u6dc7\u6dcb\u3002<\/p>\n\n\n\n<p class=\"\">\u9019\u5728\u96fb\u8166\u79d1\u5b78\u4e2d\u88ab\u7a31\u70ba\u300c\u652f\u914d\u96c6 (Dominating Sets)\u300d\u554f\u984c\u3002\u9019\u4e0d\u662f\u7c21\u55ae\u7684\u7b97\u6578\uff0c\u800c\u662f\u4e00\u500b\u9023\u8d85\u7d1a\u96fb\u8166\u90fd\u89ba\u5f97\u68d8\u624b\u7684\u300c\u6700\u4f73\u5316\u6311\u6230\u300d\u3002\u6e96\u5099\u597d\u4f60\u7684\u7c4c\u78bc\uff0c\u6211\u5011\u4f86\u5e6b\u93ae\u9577\u7701\u9322\u5427\uff01<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u7b2c\u4e00\u968e\u6bb5\uff1a\u88fd\u9020\u885d\u7a81<strong>\u2014\u2014 \u8caa\u5fc3\u6703\u5403\u8667\uff1f<\/strong><\/h4>\n\n\n\n<p class=\"\">\u9996\u5148\uff0c\u8b93\u5b69\u5b50\u6191\u76f4\u89ba\u53bb\u89e3\u6c7a\u554f\u984c\uff0c\u4e26\u9ad4\u9a57\u300c\u76f4\u89ba\u5931\u6548\u300d\u7684\u6642\u523b\u3002<\/p>\n\n\n\n<div class=\"wp-block-media-text has-media-on-the-right is-stacked-on-mobile\" style=\"grid-template-columns:auto 47%\"><div class=\"wp-block-media-text__content\">\n<p class=\"\"><strong>\u60c5\u5883\u8a2d\u5b9a\uff1a<\/strong><\/p>\n\n\n\n<p style=\"line-height:2\" class=\"\">\u62ff\u51fa\u6559\u6750\u4e2d\u7684\u300c\u65c5\u904a\u5c0f\u93ae\u5730\u5716\u300d\uff08\u7531\u5713\u5708\u8def\u53e3\u548c\u7dda\u689d\u8857\u9053\u7d44\u6210\uff09\u3002<\/p>\n\n\n\n<p class=\"\"><strong>\u898f\u5247\uff1a<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"\">\u4f60\u53ef\u4ee5\u628a\u51b0\u6dc7\u6dcb\u8eca\uff08\u7c4c\u78bc\uff09\u653e\u5728\u4efb\u4f55\u4e00\u500b\u5713\u5708\u8def\u53e3\u3002<\/li>\n\n\n\n<li class=\"\">\u9019\u8f1b\u8eca\u53ef\u4ee5\u670d\u52d9\u5b83\u6240\u5728\u7684\u8def\u53e3\uff0c\u4ee5\u53ca\u6240\u6709\u8ddf\u5b83\u6709\u7dda\u76f8\u9023\u7684\u9130\u5c45\u8def\u53e3\u3002<\/li>\n\n\n\n<li style=\"line-height:2\" class=\"\">\u6311\u6230\uff1a \u8acb\u7528\u6700\u5c11\u7684\u8eca\uff0c\u8b93\u5730\u5716\u4e0a\u6bcf\u4e00\u500b\u5713\u5708\u90fd\u88ab\u670d\u52d9\u5230\uff08\u8b8a\u6210\u7d05\u8272\u6216\u88ab\u84cb\u4f4f\uff09\u3002<\/li>\n<\/ul>\n<\/div><figure class=\"wp-block-media-text__media\"><img loading=\"lazy\" decoding=\"async\" width=\"879\" height=\"1024\" loading=\"lazy\" src=\"https:\/\/learndeeplytw.com\/wp-content\/uploads\/2026\/01\/image-2-879x1024.webp\" alt=\"\" class=\"wp-image-917 size-full\" srcset=\"https:\/\/learndeeplytw.com\/wp-content\/uploads\/2026\/01\/image-2-879x1024.webp 879w, https:\/\/learndeeplytw.com\/wp-content\/uploads\/2026\/01\/image-2-257x300.webp 257w, https:\/\/learndeeplytw.com\/wp-content\/uploads\/2026\/01\/image-2-768x895.webp 768w, https:\/\/learndeeplytw.com\/wp-content\/uploads\/2026\/01\/image-2-10x12.webp 10w, https:\/\/learndeeplytw.com\/wp-content\/uploads\/2026\/01\/image-2.webp 1028w\" sizes=\"auto, (max-width: 879px) 100vw, 879px\" \/><\/figure><\/div>\n\n\n\n<div class=\"wp-block-media-text has-media-on-the-right is-stacked-on-mobile\" style=\"grid-template-columns:auto 47%\"><div class=\"wp-block-media-text__content\">\n<p class=\"\"><strong>\u76f4\u89ba\u9677\u9631\uff1a<\/strong><\/p>\n\n\n\n<ul style=\"line-height:2\" class=\"wp-block-list\">\n<li class=\"\">\u5b69\u5b50\u901a\u5e38\u6703\u7acb\u523b\u628a\u8eca\u653e\u5728\u300c\u9023\u63a5\u7dda\u6700\u591a\u300d\u7684\u90a3\u500b\u8def\u53e3\uff08\u5730\u5716\u4e2d\u592e\uff0c\u9023\u63a5 5 \u689d\u8def\uff09\u3002<\/li>\n\n\n\n<li class=\"\">\u60f3\u6cd5\uff1a \u300c\u9019\u88e1\u6700\u71b1\u9b27\uff0c\u653e\u9019\u88e1\u53ef\u4ee5\u7167\u9867\u6700\u591a\u4eba\uff01\u300d<\/li>\n\n\n\n<li class=\"\">\u7d50\u679c\uff1a \u8acb\u5b69\u5b50\u7e7c\u7e8c\u64fa\u4e0b\u53bb\uff0c\u4ed6\u5011\u6703\u767c\u73fe\uff0c\u70ba\u4e86\u7167\u9867\u5269\u4e0b\u7684\u908a\u7de3\u6b7b\u89d2\uff0c\u4ed6\u5011\u6700\u5f8c\u53ef\u80fd\u9700\u8981 7 \u8f1b\u751a\u81f3 8 \u8f1b\u8eca\u624d\u5920\u3002<\/li>\n\n\n\n<li class=\"\">\u5bb6\u9577\u63d0\u554f\uff1a \u300c\u4f60\u7528\u4e86 7 \u8f1b\u8eca\u3002\u4f46\u93ae\u9577\u8aaa\u9810\u7b97\u53ea\u5920\u8cb7 6 \u8f1b\u3002\u4f60\u89ba\u5f97\u6709\u6c92\u6709\u8fa6\u6cd5\u518d\u5c11\u4e00\u9ede\uff1f\u300d<\/li>\n<\/ul>\n<\/div><figure class=\"wp-block-media-text__media\"><img loading=\"lazy\" decoding=\"async\" width=\"950\" height=\"972\" loading=\"lazy\" src=\"https:\/\/learndeeplytw.com\/wp-content\/uploads\/2026\/01\/image-3.webp\" alt=\"\" class=\"wp-image-919 size-full\" srcset=\"https:\/\/learndeeplytw.com\/wp-content\/uploads\/2026\/01\/image-3.webp 950w, https:\/\/learndeeplytw.com\/wp-content\/uploads\/2026\/01\/image-3-293x300.webp 293w, https:\/\/learndeeplytw.com\/wp-content\/uploads\/2026\/01\/image-3-768x786.webp 768w, https:\/\/learndeeplytw.com\/wp-content\/uploads\/2026\/01\/image-3-12x12.webp 12w\" sizes=\"auto, (max-width: 950px) 100vw, 950px\" \/><\/figure><\/div>\n\n\n\n<h4 class=\"wp-block-heading\">\u7b2c\u4e8c\u968e\u6bb5\uff1a\u904a\u6232\u4f48\u7f6e <strong>\u2014\u2014 \u8996\u89ba\u5316\u7684\u8986\u84cb\u7bc4\u570d<\/strong><\/h4>\n\n\n\n<p class=\"\">\u70ba\u4e86\u8b93\u300c\u652f\u914d\u300d\u7684\u6982\u5ff5\u66f4\u5177\u9ad4\uff0c\u6211\u5011\u7528\u984f\u8272\u6216\u7c4c\u78bc\u4f86\u6a19\u8a18\u3002<\/p>\n\n\n\n<ol start=\"1\" style=\"line-height:2\" class=\"wp-block-list\">\n<li class=\"\"><strong>\u6e96\u5099\u9053\u5177\uff1a<\/strong>\n<ul class=\"wp-block-list\">\n<li class=\"\">\u5217\u5370\u51fa\u5730\u5716\u3002<\/li>\n\n\n\n<li class=\"\">\u6e96\u5099\u7d04 20 \u500b\u7c4c\u78bc\uff08\u6216\u786c\u5e63\uff09\u4ee3\u8868\u51b0\u6dc7\u6dcb\u8eca\u3002<\/li>\n\n\n\n<li style=\"line-height:2\" class=\"\">\u6e96\u5099\u53e6\u4e00\u7a2e\u984f\u8272\u7684\u6a19\u8a18\uff08\u5982\u900f\u660e\u7247\u6216\u5c0f\u7a4d\u6728\uff09\u4ee3\u8868\u300c\u88ab\u670d\u52d9\u5230\u7684\u5c45\u6c11\u300d\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li class=\"\"><strong>\u64cd\u4f5c\u5b9a\u7fa9\uff1a<\/strong>\n<ul class=\"wp-block-list\">\n<li class=\"\">\u7576\u4f60\u628a\u8eca\u653e\u5728\u8def\u53e3 A\uff0c\u8acb\u628a\u8def\u53e3 A \u4ee5\u53ca\u6240\u6709\u9023\u8457 A \u7684\u8def\u53e3\u90fd\u653e\u4e0a\u300c\u88ab\u670d\u52d9\u300d\u7684\u6a19\u8a18\u3002<\/li>\n\n\n\n<li class=\"\">\u76ee\u6a19\u662f\uff1a\u5730\u5716\u4e0a\u4e0d\u80fd\u6709\u4efb\u4f55\u4e00\u500b\u7a7a\u767d\u7684\u8def\u53e3\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<h4 class=\"wp-block-heading\">\u7b2c\u4e09\u968e\u6bb5\uff1a<strong>\u6253\u7834\u76f4\u89ba\uff0c\u627e\u5230\u6700\u4f73\u89e3<\/strong><\/h4>\n\n\n\n<p class=\"\">\u9019\u4e00\u6b65\u662f\u5f15\u5c0e\u5b69\u5b50\u300c\u53cd\u76f4\u89ba\u601d\u8003\u300d\u7684\u95dc\u9375\u3002<\/p>\n\n\n\n<ol start=\"1\" style=\"line-height:2\" class=\"wp-block-list\">\n<li class=\"\"><strong>\u5f15\u5c0e\u601d\u8003\uff1a<\/strong>\n<ul class=\"wp-block-list\">\n<li class=\"\">\u300c\u525b\u525b\u6211\u5011\u8a66\u904e\u5148\u6436\u300e\u5927\u8def\u53e3\u300f\uff0c\u7d50\u679c\u5931\u6557\u4e86\u3002\u9019\u6b21\u6211\u5011\u8a66\u8a66\u770b\u5225\u7684\u7b56\u7565\u3002\u300d<\/li>\n\n\n\n<li class=\"\">\u300c\u6709\u6c92\u6709\u54ea\u4e00\u500b\u8def\u53e3\u662f\u300e\u5b64\u55ae\u53c8\u96e3\u641e\u300f\u7684\uff1f\u5982\u679c\u4e0d\u5c08\u9580\u70ba\u4e86\u5b83\u653e\u4e00\u8f1b\u8eca\uff0c\u6216\u662f\u628a\u8eca\u653e\u5728\u5b83\u9694\u58c1\uff0c\u5b83\u5c31\u6c38\u9060\u5403\u4e0d\u5230\u51b0\u6dc7\u6dcb\uff1f\u300d<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li class=\"\"><strong>\u5c0b\u627e\u95dc\u9375\u9ede\uff1a<\/strong>\n<ul class=\"wp-block-list\">\n<li class=\"\">\u5f15\u5c0e\u5b69\u5b50\u89c0\u5bdf\u5730\u5716\u908a\u7de3\u90a3\u4e9b\u9023\u63a5\u6578\u5f88\u5c11\u7684\u8def\u53e3\u3002<\/li>\n\n\n\n<li class=\"\">\u8a66\u8457\u4e0d\u8981\u628a\u8eca\u653e\u5728\u6b63\u4e2d\u592e\uff0c\u800c\u662f\u5206\u6563\u5728\u56db\u5468\u7684\u95dc\u9375\u4f4d\u7f6e\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li class=\"\"><strong>\u6210\u529f\u6642\u523b\uff1a<\/strong>\n<ul class=\"wp-block-list\">\n<li class=\"\">\u7d93\u904e\u53cd\u8986\u79fb\u52d5\u548c\u8abf\u6574\uff0c\u5b69\u5b50\u6700\u7d42\u6703\u62fc\u6e4a\u51fa\u4e00\u7d44\u300c6 \u8f1b\u8eca\u300d\u7684\u5b8c\u7f8e\u89e3\u7b54\u3002<\/li>\n\n\n\n<li class=\"\">\u6b61\u547c\uff1a \u300c\u54c7\uff01\u4f60\u8fa6\u5230\u4e86\uff01\u539f\u672c\u4ee5\u70ba\u4e00\u5b9a\u8981\u4f54\u9818\u5927\u8def\u53e3\uff0c\u7d50\u679c\u53cd\u800c\u907f\u958b\u5927\u8def\u53e3\u624d\u6700\u7701\u9322\uff01\u300d<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<h4 class=\"wp-block-heading\">\u7b2c\u56db\u968e\u6bb5\uff1a\u6982\u5ff5\u9023\u7d50 <strong>\u2014\u2014 \u70ba\u4ec0\u9ebc\u96fb\u8166\u89ba\u5f97\u9019\u5f88\u96e3\uff1f<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li style=\"line-height:2\" class=\"\">\u5bb6\u9577\uff1a\u300c\u4f60\u525b\u525b\u505a\u7684\u4e8b\u60c5\uff0c\u5c31\u662f\u96fb\u8166\u79d1\u5b78\u5bb6\u5728\u627e\u7684\u300e\u6700\u5c0f\u652f\u914d\u96c6 (Minimum Dominating Set)\u300f\u3002\u9019\u5728\u771f\u5be6\u4e16\u754c\u8d85\u7d1a\u6709\u7528\uff01\u300d\n<ul class=\"wp-block-list\">\n<li class=\"\">\u624b\u6a5f\u57fa\u5730\u53f0\uff1a \u96fb\u4fe1\u516c\u53f8\u8981\u8a2d\u57fa\u5730\u53f0\uff0c\u5e0c\u671b\u7528\u6700\u5c11\u7684\u5854\u53f0\uff0c\u8b93\u5168\u53f0\u7063\u90fd\u6709\u8a0a\u865f\u3002<\/li>\n\n\n\n<li class=\"\">\u7db2\u7d05\u884c\u92b7\uff1a \u5ee0\u5546\u60f3\u627e\u5e7e\u500b\u7db2\u7d05\u5ba3\u50b3\u7522\u54c1\uff0c\u5e0c\u671b\u9019\u5e7e\u500b\u4eba\u7684\u7c89\u7d72\u52a0\u8d77\u4f86\u80fd\u8986\u84cb\u6240\u6709\u5e74\u8f15\u4eba\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li style=\"line-height:2\" class=\"\">\u6df1\u5967\u7684\u7406\u8ad6 (NP-Complete)\uff1a\n<ul class=\"wp-block-list\">\n<li class=\"\">\u300c\u9019\u5f35\u5730\u5716\u53ea\u6709\u5e7e\u5341\u500b\u8def\u53e3\uff0c\u4f60\u82b1\u4e86 10 \u5206\u9418\u624d\u627e\u5230\u7b54\u6848\u3002\u5982\u679c\u662f\u5168\u53f0\u7063\u7684\u8def\u53e3\u5462\uff1f\u300d<\/li>\n\n\n\n<li class=\"\">\u300c\u9019\u985e\u554f\u984c\u6700\u53ef\u6015\u7684\u5730\u65b9\u5728\u65bc\uff1a\u8981\u6aa2\u67e5\u4f60\u7684\u7b54\u6848\u5c0d\u4e0d\u5c0d\u5f88\u7c21\u55ae\uff08\u7b97\u4e00\u4e0b\u662f\u4e0d\u662f 6 \u8f1b\uff09\uff0c\u4f46\u8981\u300e\u627e\u5230\u300f\u9019\u500b\u6700\u5c11\u6578\u91cf\u7684\u7b54\u6848\uff0c\u537b\u8d85\u7d1a\u7121\u6575\u96e3\uff01\u300d\u9019\u5c31\u662f\u8457\u540d\u7684 \u300cNP \u5b8c\u5168\u554f\u984c(NP-Complete) \u300d\u3002<\/li>\n\n\n\n<li class=\"\">\u9019\u4e00\u985e\u7684\u554f\u984c\uff0c\u7bc4\u570d\u5f9e\u908f\u8f2f\uff0c\u92f8\u72c0\u6392\u5217\u554f\u984c\u5230\u5730\u5716\u8457\u8272\u554f\u984c\uff0c\u5728\u5730\u5716\u4e0a\u627e\u6700\u4f73\u8def\u5f91\uff0c\u9084\u6709\u8abf\u5ea6\u6d41\u7a0b\u554f\u984c\u7b49\u7b49\uff0c\u554f\u984c\u53ef\u4ee5\u8aaa\u6210\u5343\u4e0a\u842c\u3002\u4f46\u4ee4\u4eba\u9a5a\u8a1d\u7684\u662f\uff0c\u6240\u6709\u7684\u9019\u4e9b\u554f\u984c\u5df2\u88ab\u8b49\u660e\u662f\u76f8\u540c\u7684\uff1a<strong>\u5982\u679c\u5176\u4e2d\u4e00\u500b\u554f\u984c\u627e\u5230\u4e86\u591a\u9805\u5f0f\u6642\u9593\u7684\u6f14\u7b97\u6cd5\uff0c\u90a3\u5176\u4ed6\u6240\u6709\u7684\u554f\u984c\u5c31\u53ef\u4ee5\u7d93\u7531\u6b64\u6f14\u7b97\u6cd5\u505a\u8f49\u63db\u800c\u4e00\u8d77\u89e3\u6c7a\u2014\u300c\u8981\u561b\u5c31\u5168\u90e8\u6709\u89e3\uff0c\u8981\u561b\u5c31\u5168\u90e8\u7121\u89e3\u3002\u300d<\/strong><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">\u7b2c\u4e94\u968e\u6bb5\uff1a\u9664\u932f\u8207\u6311\u6230 <strong>\u2014\u2014 \u8a2d\u8a08\u4f60\u7684\u8b0e\u984c<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li style=\"line-height:2\" class=\"\">\u9006\u5411\u5de5\u7a0b (One-way Function)\uff1a\n<ul class=\"wp-block-list\">\n<li class=\"\">\u63d0\u554f\uff1a \u300c\u89e3\u8b0e\u5f88\u96e3\uff0c\u4f46\u51fa\u984c\u5f88\u7c21\u55ae\u5594\uff01\u4f60\u60f3\u4e0d\u60f3\u8003\u8003\u7238\u7238\u5abd\u5abd\uff1f\u300d<\/li>\n\n\n\n<li class=\"\">\u505a\u6cd5\uff1a\n<ol start=\"1\" class=\"wp-block-list\">\n<li class=\"\">\u5148\u5728\u767d\u7d19\u4e0a\u756b 5 \u500b\u7d05\u9ede\uff08\u5c0d\u6bd4\u51b0\u6dc7\u6dcb\u8eca\uff09\u3002<\/li>\n\n\n\n<li class=\"\">\u96a8\u610f\u756b\u5f88\u591a\u5176\u4ed6\u7684\u9ed1\u9ede\uff08\u5c0d\u6bd4\u8def\u53e3\uff09\u3002<\/li>\n\n\n\n<li class=\"\">\u958b\u59cb\u9023\u7dda\uff1a\u78ba\u4fdd\u6bcf\u4e00\u500b\u9ed1\u9ede\u90fd\u81f3\u5c11\u9023\u5230\u4e00\u500b\u7d05\u9ede\u3002<\/li>\n\n\n\n<li class=\"\">\u6700\u5f8c\uff0c\u628a\u7d05\u9ede\u5857\u9ed1\uff0c\u8b8a\u6210\u4e00\u5f35\u666e\u901a\u7684\u8b0e\u984c\u5730\u5716\u3002<\/li>\n<\/ol>\n<\/li>\n\n\n\n<li class=\"\">\u6311\u6230\uff1a \u628a\u9019\u5f35\u5730\u5716\u4ea4\u7d66\u5225\u4eba\uff0c\u8acb\u4ed6\u627e\u51fa\u90a3 5 \u500b\u7d05\u9ede\u5728\u54ea\u88e1\u3002<\/li>\n\n\n\n<li class=\"\">\u767c\u73fe\uff1a \u5b69\u5b50\u6703\u767c\u73fe\uff0c\u81ea\u5df1\u300c\u52a0\u5bc6\uff08\u51fa\u984c\uff09\u300d\u53ea\u82b1 1 \u5206\u9418\uff0c\u4f46\u5c0d\u65b9\u300c\u89e3\u5bc6\uff08\u89e3\u984c\uff09\u300d\u53ef\u80fd\u8981\u82b1 1 \u5c0f\u6642\uff01\u9019\u5c31\u662f\u73fe\u4ee3\u5bc6\u78bc\u5b78\u7684\u57fa\u790e\u6982\u5ff5\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">\u6559\u5b78\u89c0\u5bdf\u91cd\u9ede\u8868<\/h3>\n\n\n\n<p class=\"\">\u9019\u5f35\u8868\u5e6b\u52a9\u60a8\u89c0\u5bdf\u5b69\u5b50\u662f\u5426\u8df3\u812b\u4e86\u300c\u8caa\u5a6a\u300d\u7684\u76f4\u89ba\u3002<\/p>\n\n\n\n<figure style=\"line-height:2\" class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><td><strong>\u89c0\u5bdf\u9ede<\/strong><\/td><td><strong>\u274c \u8f03\u7121\u6548\u7684\u53cd\u61c9 (\u53ea\u770b\u7d50\u679c)<\/strong><\/td><td><strong>\u2705 \u8f03\u6709\u6548\u7684\u5f15\u5c0e (\u63a2\u7a76\u601d\u8003)<\/strong><\/td><\/tr><\/thead><tbody><tr><td><strong>\u7576\u5b69\u5b50\u5805\u6301\u653e\u5728\u6700\u5927\u8def\u53e3\u6642<\/strong><\/td><td>\u300c\u90a3\u500b\u4f4d\u7f6e\u4e0d\u597d\uff0c\u63db\u4e00\u500b\u3002\u300d<\/td><td>\u300c\u9019\u500b\u4f4d\u7f6e\u770b\u8d77\u4f86\u5f88\u68d2\uff0c\u9023\u5230\u5f88\u591a\u8def\u3002\u4f46\u4f60\u653e\u4e86\u4e4b\u5f8c\uff0c\u5269\u4e0b\u7684\u90a3\u4e9b\u89d2\u843d\u597d\u4e0d\u597d\u8655\u7406\uff1f\u4f60\u8981\u4e0d\u8981\u8a66\u8a66\u770b\u5148\u8655\u7406\u96e3\u641e\u7684\u89d2\u843d\uff1f\u300d<\/td><\/tr><tr><td><strong>\u7576\u5b69\u5b50\u627e\u4e0d\u5230 6 \u8f1b\u8eca\u7684\u89e3\u6cd5\u6642<\/strong><\/td><td>\u300c\u7b54\u6848\u662f\u653e\u5728\u9019\u5e7e\u500b\u9ede&#8230;\u300d<\/td><td>\u300c\u5982\u679c\u6211\u544a\u8a34\u4f60\uff0c\u9019\u5f35\u5730\u5716\u771f\u7684\u53ea\u9700\u8981 6 \u8f1b\u8eca\uff0c\u4f60\u89ba\u5f97\u4f60\u662f\u54ea\u88e1\u300e\u6d6a\u8cbb\u300f\u4e86\uff1f\u6709\u6c92\u6709\u5169\u8f1b\u8eca\u7167\u9867\u5230\u4e86\u540c\u4e00\u7fa4\u4eba\uff1f\u300d<\/td><\/tr><tr><td><strong>\u89e3\u91cb\u70ba\u4ec0\u9ebc\u9019\u5f88\u96e3<\/strong><\/td><td>\u300c\u9019\u53eb NP \u554f\u984c\uff0c\u5f88\u8907\u96dc\u3002\u300d<\/td><td>\u300c\u9019\u5c31\u50cf\u662f\u4e00\u500b\u8d85\u96e3\u7684\u6578\u7368\u3002\u96fb\u8166\u4e5f\u6c92\u6709\u8070\u660e\u7684\u516c\u5f0f\u53ef\u4ee5\u76f4\u63a5\u7b97\u51fa\u7b54\u6848\uff0c\u5b83\u4e5f\u53ea\u80fd\u50cf\u4f60\u4e00\u6a23\uff0c\u4e00\u7a2e\u4e00\u7a2e\u6162\u6162\u8a66\uff08\u66b4\u529b\u7834\u89e3\uff09\uff0c\u8a66\u5230\u5929\u8352\u5730\u8001\u3002\u300d<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">\u5f8c\u8a18<\/h3>\n\n\n\n<p style=\"line-height:2\" class=\"\">\u95dc\u65bc\u51b0\u6dc7\u6dcb\u8eca\u554f\u984c\uff0c\u4e00\u4ef6\u6709\u8da3\u7684\u4e8b\u60c5\u662f\uff0c\u6c92\u6709\u4eba\u77e5\u9053\u662f\u5426\u6709\u4e00\u500b\u5c0b\u627e\u4e00\u7d44\u6700\u4f73\u89e3\u7684\u6f14\u7b97\u6cd5\u6bd4\u66b4\u529b\u6cd5\u660e\u986f\u66f4\u5feb\uff01\u66b4\u529b\u6cd5\u82b1\u8cbb\u7684\u6642\u9593\u96a8\u8457\u4ea4\u53c9\u8def\u53e3\u7684\u6578\u76ee\u5448\u6307\u6578\u589e\u9577\u2014\u56e0\u6b64\u5b83\u53c8\u88ab\u7a31\u70ba\u300c\u6307\u6578\u6642\u9593\u6f14\u7b97\u6cd5\u300d\uff08exponentialtime algorithm\uff09\u3002\u800c\u76f8\u5c0d\u65bc\u6307\u6578\u6642\u9593\u6f14\u7b97\u6cd5\uff0c\u300c\u591a\u9805\u5f0f\u6642\u9593\u6f14\u7b97\u6cd5\u300d\uff08polynomial-time algorithm\uff09\u662f\u6307\u6f14\u7b97\u6cd5\u7684\u57f7\u884c\u6642\u9593\u6703\u96a8\u8457\u8b8a\u6578\u7684\u5e73\u65b9\u3001\u7acb\u65b9\u3001\u5341\u4e03\u6b21\u65b9\u6216\u5176\u4ed6\u6578\u76ee\u6b21\u65b9\u800c\u589e\u9577\u3002<\/p>\n\n\n\n<p style=\"line-height:2\" class=\"\">\u591a\u9805\u5f0f\u6642\u9593\u6f14\u7b97\u6cd5\uff0c\u5373\u4f7f\u662f\u5341\u4e03\u6b21\u65b9\uff0c\u53ea\u8981\u662f\u5920\u5927\u7684\u5730\u5716\uff0c\u4e5f\u6703\u6bd4\u66b4\u529b\u6cd5\u66f4\u5feb\u3002\u56e0\u70ba\u6307\u6578\u7d1a\u6210\u9577\u5728\u5b83\u7684\u53c3\u6578\u5927\u5230\u4e00\u500b\u7a0b\u5ea6\u6642\uff0c\u4e00\u5b9a\u6703\u8d85\u904e\u4efb\u4f55\u591a\u9805\u5f0f\u7d1a\u7684\u6210\u9577\uff08\u6bd4\u65b9\u8aaa\uff0cn<sup>17<\/sup>\u8ddf2<sup>n<\/sup>\u4f86\u6bd4\u8f03\uff0c\u54ea\u500b\u6bd4\u8f03\u5927\uff1f\u5728n\u5927\u65bc117\u4e4b\u5f8c\uff0c\u5f8c\u8005\u5c31\u6703\u8d85\u8d8a\u524d\u8005\uff09\u3002<strong>\u90a3\u9ebc\uff0c\u662f\u5426\u6709\u4e00\u500b\u591a\u9805\u5f0f\u6642\u9593\u6f14\u7b97\u6cd5\u53ef\u4ee5\u4f86\u5c0b\u627e\u6700\u5c11\u9700\u8981\u5728\u54ea\u4e9b\u4f4d\u7f6e\uff1f\u76ee\u524d\u9084\u6c92\u6709\u4eba\u77e5\u9053\uff0c\u4f46\u5927\u5bb6\u5df2\u7d93\u5f88\u52aa\u529b\u7684\u5728\u627e\u4e86\u3002<\/strong>\u800c\u5c0d\u65bc\u4e00\u500b\u6bd4\u8f03\u5bb9\u6613\u7684\u554f\u984c\uff1a\u6aa2\u67e5\u4e00\u7d44\u7279\u5b9a\u7684\u4f4d\u7f6e\u662f\u5426\u662f\u6700\u4f73\u89e3\u4e5f\u662f\u4e00\u6a23\uff0c\u4f7f\u7528\u66b4\u529b\u6cd5\u6240\u82b1\u8cbb\u7684\u6642\u9593\u662f\u5448\u6307\u6578\u6210\u9577\uff0c\u800c\u91dd\u5c0d\u6b64\u554f\u984c\u7684\u591a\u9805\u5f0f\u6642\u9593\u6f14\u7b97\u6cd5\uff0c\u65e2\u6c92\u6709\u88ab\u767c\u73fe\uff0c\u4e5f\u6c92\u6709\u88ab\u8b49\u660e\u4e0d\u5b58\u5728\u3002<\/p>\n\n\n\n<p class=\"\"><em>\u53c3\u8003\u4f86\u6e90\uff1a<a target=\"_blank\" rel=\"noreferrer noopener\" href=\"https:\/\/classic.csunplugged.org\/documents\/activities\/dominating-sets\/unpluggedTeachersSupplement2012-draft-v1-dominatingSets.pdf\">CS Unplugged: Dominating Sets Teacher&#8217;s Supplement<\/a><\/em><\/p>\n\n\n\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n<\/div>\n\n\n\n<p class=\"\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u708e\u71b1\u7684\u590f\u5929\uff0c\u6c92\u6709\u4ec0\u9ebc\u6bd4\u4e00\u652f\u51b0\u6dc7\u6dcb\u66f4\u68d2\u4e86\uff01 \u4f46\u5c0d\u65bc\u300c\u65c5\u904a\u5c0f\u93ae\u300d\u7684\u93ae\u9577\u4f86\u8aaa\uff0c\u9019\u662f\u4e00\u500b\u982d\u75db\u7684\u5927\u554f\u984c\u3002\u93ae\u4e0a\u7684\u8857\u9053\u932f\u7d9c [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":925,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"nf_dc_page":"","footnotes":""},"categories":[9,20],"tags":[54,26,53,24],"class_list":["post-916","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-cs-unplugged","category-intractability","tag-54","tag-26","tag-53","tag-24"],"blocksy_meta":[],"_links":{"self":[{"href":"https:\/\/learndeeplytw.com\/zh_tw\/wp-json\/wp\/v2\/posts\/916","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/learndeeplytw.com\/zh_tw\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/learndeeplytw.com\/zh_tw\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/learndeeplytw.com\/zh_tw\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/learndeeplytw.com\/zh_tw\/wp-json\/wp\/v2\/comments?post=916"}],"version-history":[{"count":3,"href":"https:\/\/learndeeplytw.com\/zh_tw\/wp-json\/wp\/v2\/posts\/916\/revisions"}],"predecessor-version":[{"id":927,"href":"https:\/\/learndeeplytw.com\/zh_tw\/wp-json\/wp\/v2\/posts\/916\/revisions\/927"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/learndeeplytw.com\/zh_tw\/wp-json\/wp\/v2\/media\/925"}],"wp:attachment":[{"href":"https:\/\/learndeeplytw.com\/zh_tw\/wp-json\/wp\/v2\/media?parent=916"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/learndeeplytw.com\/zh_tw\/wp-json\/wp\/v2\/categories?post=916"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/learndeeplytw.com\/zh_tw\/wp-json\/wp\/v2\/tags?post=916"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}