{"id":2827,"date":"2022-03-04T23:01:04","date_gmt":"2022-03-04T14:01:04","guid":{"rendered":"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/?p=2827"},"modified":"2022-03-04T23:01:04","modified_gmt":"2022-03-04T14:01:04","slug":"%e6%9c%80%e5%a4%a7%e7%8b%ac%e7%ab%8b%e7%82%b9%e9%9b%86%e5%90%88%e5%95%8f%e9%a1%8c%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e8%b2%aa%e6%ac%b2%e3%82%a2%e3%83%ab%e3%82%b4%e3%83%aa%e3%82%ba%e3%83%a0%e3%81%ae","status":"publish","type":"post","link":"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/03\/04\/%e6%9c%80%e5%a4%a7%e7%8b%ac%e7%ab%8b%e7%82%b9%e9%9b%86%e5%90%88%e5%95%8f%e9%a1%8c%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e8%b2%aa%e6%ac%b2%e3%82%a2%e3%83%ab%e3%82%b4%e3%83%aa%e3%82%ba%e3%83%a0%e3%81%ae\/","title":{"rendered":"\u6700\u5927\u72ec\u7acb\u70b9\u96c6\u5408\u554f\u984c\u306b\u304a\u3051\u308b\u8caa\u6b32\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u7d39\u4ecb"},"content":{"rendered":"\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_82_2 counter-hierarchy ez-toc-counter ez-toc-white ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title ez-toc-toggle\" style=\"cursor:pointer\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/03\/04\/%e6%9c%80%e5%a4%a7%e7%8b%ac%e7%ab%8b%e7%82%b9%e9%9b%86%e5%90%88%e5%95%8f%e9%a1%8c%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e8%b2%aa%e6%ac%b2%e3%82%a2%e3%83%ab%e3%82%b4%e3%83%aa%e3%82%ba%e3%83%a0%e3%81%ae\/#%E6%A6%82%E8%A6%81\" >\u6982\u8981<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/03\/04\/%e6%9c%80%e5%a4%a7%e7%8b%ac%e7%ab%8b%e7%82%b9%e9%9b%86%e5%90%88%e5%95%8f%e9%a1%8c%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e8%b2%aa%e6%ac%b2%e3%82%a2%e3%83%ab%e3%82%b4%e3%83%aa%e3%82%ba%e3%83%a0%e3%81%ae\/#%E6%9C%80%E5%A4%A7%E7%8B%AC%E7%AB%8B%E7%82%B9%E9%9B%86%E5%90%88%E3%81%A8%E3%82%AF%E3%83%AA%E3%83%BC%E3%82%AF\" >\u6700\u5927\u72ec\u7acb\u70b9\u96c6\u5408\u3068\u30af\u30ea\u30fc\u30af<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/03\/04\/%e6%9c%80%e5%a4%a7%e7%8b%ac%e7%ab%8b%e7%82%b9%e9%9b%86%e5%90%88%e5%95%8f%e9%a1%8c%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e8%b2%aa%e6%ac%b2%e3%82%a2%e3%83%ab%e3%82%b4%e3%83%aa%e3%82%ba%e3%83%a0%e3%81%ae\/#%E3%82%A2%E3%83%AB%E3%82%B4%E3%83%AA%E3%82%BA%E3%83%A0\" >\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/03\/04\/%e6%9c%80%e5%a4%a7%e7%8b%ac%e7%ab%8b%e7%82%b9%e9%9b%86%e5%90%88%e5%95%8f%e9%a1%8c%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e8%b2%aa%e6%ac%b2%e3%82%a2%e3%83%ab%e3%82%b4%e3%83%aa%e3%82%ba%e3%83%a0%e3%81%ae\/#Ramsey\" >Ramsey<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/03\/04\/%e6%9c%80%e5%a4%a7%e7%8b%ac%e7%ab%8b%e7%82%b9%e9%9b%86%e5%90%88%e5%95%8f%e9%a1%8c%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e8%b2%aa%e6%ac%b2%e3%82%a2%e3%83%ab%e3%82%b4%e3%83%aa%e3%82%ba%e3%83%a0%e3%81%ae\/#CliqueRemoval\" >CliqueRemoval<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/03\/04\/%e6%9c%80%e5%a4%a7%e7%8b%ac%e7%ab%8b%e7%82%b9%e9%9b%86%e5%90%88%e5%95%8f%e9%a1%8c%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e8%b2%aa%e6%ac%b2%e3%82%a2%e3%83%ab%e3%82%b4%e3%83%aa%e3%82%ba%e3%83%a0%e3%81%ae\/#SampleIS\" >SampleIS<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/03\/04\/%e6%9c%80%e5%a4%a7%e7%8b%ac%e7%ab%8b%e7%82%b9%e9%9b%86%e5%90%88%e5%95%8f%e9%a1%8c%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e8%b2%aa%e6%ac%b2%e3%82%a2%e3%83%ab%e3%82%b4%e3%83%aa%e3%82%ba%e3%83%a0%e3%81%ae\/#%E5%8F%82%E8%80%83%E6%96%87%E7%8C%AE\" >\u53c2\u8003\u6587\u732e<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/03\/04\/%e6%9c%80%e5%a4%a7%e7%8b%ac%e7%ab%8b%e7%82%b9%e9%9b%86%e5%90%88%e5%95%8f%e9%a1%8c%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e8%b2%aa%e6%ac%b2%e3%82%a2%e3%83%ab%e3%82%b4%e3%83%aa%e3%82%ba%e3%83%a0%e3%81%ae\/#%E3%81%82%E3%81%A8%E3%81%8C%E3%81%8D\" >\u3042\u3068\u304c\u304d<\/a><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E6%A6%82%E8%A6%81\"><\/span>\u6982\u8981<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u8a18\u4e8b\u300c<a href=\"\/T-Wave\/?p=2510\">\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u3092\u7528\u3044\u305f\u30b0\u30e9\u30d5\u5f69\u8272<\/a>\u300d\u3067\u306f\u8caa\u6b32\u6cd5\u306b\u3088\u308b\u30b0\u30e9\u30d5\u5f69\u8272\u306e\u969b\u306b\u3001\u30b5\u30d6\u30eb\u30fc\u30c1\u30f3\u3068\u3057\u3066\u72ec\u7acb\u70b9\u96c6\u5408\u3092\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u3067\u6c42\u3081\u305f\u5834\u5408\u3068\u53e4\u5178\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u3067\u6c42\u3081\u305f\u5834\u5408\u306b\u304a\u3044\u3066\u3001\u30b0\u30e9\u30d5\u5f69\u8272\u306e\u6700\u9069\u5316\u6027\u80fd\u3092\u6bd4\u8f03\u3057\u307e\u3057\u305f\u3002\u672c\u8a18\u4e8b\u3067\u306f\u53e4\u5178\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u3067\u72ec\u7acb\u70b9\u96c6\u5408\u3092\u6c42\u3081\u308b3\u3064\u306e\u8fd1\u4f3c\u7684\u306a\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0Ramsey\u3001CliqueRemoval\u3001SampleIS\u3092\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E6%9C%80%E5%A4%A7%E7%8B%AC%E7%AB%8B%E7%82%B9%E9%9B%86%E5%90%88%E3%81%A8%E3%82%AF%E3%83%AA%E3%83%BC%E3%82%AF\"><\/span>\u6700\u5927\u72ec\u7acb\u70b9\u96c6\u5408\u3068\u30af\u30ea\u30fc\u30af<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u72ec\u7acb\u70b9\u96c6\u5408\u3068\u306f\u3069\u306e2\u9802\u70b9\u306b\u304a\u3044\u3066\u3082\u7d50\u3076\u8fba\u304c\u5b58\u5728\u3057\u306a\u3044\u9802\u70b9\u96c6\u5408\u306e\u3053\u3068\u3067\u3059\u3002\u30b0\u30e9\u30d5\u5f69\u8272\u306e\u8caa\u6b32\u6cd5\u3067\u306f\u72ec\u7acb\u70b9\u96c6\u5408\u3092\u6c42\u3081\u30661\u8272\u305a\u3064\u5272\u308a\u5f53\u3066\u308b\u3053\u3068\u3092\u7e70\u308a\u8fd4\u3057\u307e\u3059\u3002\u3053\u306e\u8caa\u6b32\u6cd5\u3067\u306f\u3059\u3079\u3066\u306e\u9802\u70b9\u306b\u8272\u3092\u5272\u308a\u5f53\u3066\u308b\u307e\u3067\u306e\u7e70\u308a\u8fd4\u3057\u306e\u56de\u6570\u304c\u5f69\u8272\u306e\u8272\u6570\u3068\u306a\u308b\u306e\u3067\u6c42\u3081\u308b\u72ec\u7acb\u70b9\u96c6\u5408\u306f\u9802\u70b9\u6570\u306e\u591a\u3044\u65b9\u304c\u8272\u6570\u304c\u5c0f\u3055\u304f\u306a\u308b\u3053\u3068\u304c\u671f\u5f85\u3067\u304d\u307e\u3059\u3002\u306a\u304a\u5e38\u306b\u6700\u5927\u72ec\u7acb\u70b9\u96c6\u5408\u3092\u6c42\u3081\u3066\u3082\u6700\u5c0f\u8272\u6570\u306e\u5f69\u8272\u304c\u5f97\u3089\u308c\u308b\u3068\u306f\u9650\u308a\u307e\u305b\u3093\u3002\u4f8b\u3048\u3070\u4ee5\u4e0b\u306e\u30b0\u30e9\u30d5\u3067\u306f\u6700\u5c0f\u8272\u6570\u306f3\u8272\u3067\u3059\u304c\u3001\u8caa\u6b32\u6cd5\u306e\u5404\u30b9\u30c6\u30c3\u30d7\u3067\u6700\u5927\u72ec\u7acb\u70b9\u96c6\u5408\u3092\u5e38\u306b\u6c42\u3081\u308b\u30684\u8272\u3067\u306e\u5f69\u8272\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2022\/02\/cdf2d2f31e7459704551ef610e64d745-1-489x1024.png\" alt=\"\u8caa\u6b32\u6cd5\u3067\u6700\u5927\u72ec\u7acb\u70b9\u96c6\u5408\u3092\u6c42\u3081\u305f\u3068\u304d\u306b\u6700\u5c0f\u8272\u6570\u306b\u306a\u3089\u306a\u3044\u4f8b\" class=\"wp-image-2844\"\/><figcaption>\u56f31\uff1a\u8caa\u6b32\u6cd5\u3067\u6700\u5927\u72ec\u7acb\u70b9\u96c6\u5408\u3092\u6c42\u3081\u305f\u3068\u304d\u306b\u6700\u5c0f\u8272\u6570\u306b\u306a\u3089\u306a\u3044\u4f8b<\/figcaption><\/figure><\/div>\n\n\n\n<p>\u30af\u30ea\u30fc\u30af\u3068\u306f\u3069\u306e2\u9802\u70b9\u306b\u304a\u3044\u3066\u3082\u7d50\u3076\u8fba\u304c\u5b58\u5728\u3059\u308b\u9802\u70b9\u96c6\u5408\u306e\u3053\u3068\u3067\u3059\u3002\u30b0\u30e9\u30d5\u306b\u9802\u70b9\u6570$ k$\u306e\u30af\u30ea\u30fc\u30af\u304c\u5b58\u5728\u3059\u308b\u3068\u5f69\u8272\u306b\u5fc5\u8981\u306a\u8272\u6570\u306f$ k $\u4ee5\u4e0a\u3068\u306a\u308a\u307e\u3059\u3002\u4f8b\u3048\u3070\u56f31\u306e\u4f8b\u3067\u306f\u30b0\u30e9\u30d5\u306b\u9802\u70b9\u65703\u306e\u30af\u30ea\u30fc\u30af\u304c\u5b58\u5728\u3059\u308b\u306e\u3067\u5f69\u8272\u306b\u306f3\u8272\u4ee5\u4e0a\u5fc5\u8981\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E3%82%A2%E3%83%AB%E3%82%B4%E3%83%AA%E3%82%BA%E3%83%A0\"><\/span>\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ramsey\"><\/span>Ramsey<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>1\u3064\u76ee\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306fRamsey[1]\u3067\u3059\u3002\u3053\u308c\u306f\u72ec\u7acb\u70b9\u96c6\u5408\u3068\u30af\u30ea\u30fc\u30af\u3092\u305d\u308c\u305e\u308c\u4e00\u3064\u305a\u3064\u6c42\u3081\u308b\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u3059\u3002Ramsey\u306f\u9802\u70b9\u3092\u4e00\u3064\u9078\u3073\u3001\u305d\u306e\u9802\u70b9\u306b\u96a3\u63a5\u3057\u3066\u3044\u308b\u9802\u70b9\u306e\u96c6\u5408\u3068\u3001\u96a3\u63a5\u3057\u3066\u3044\u306a\u3044\u9802\u70b9\u306e\u96c6\u5408\u3068\u3067\u305d\u308c\u305e\u308c\u518d\u5e30\u7684\u306b\u72ec\u7acb\u70b9\u96c6\u5408\u3068\u30af\u30ea\u30fc\u30af\u3092\u6c42\u3081\u307e\u3059\u3002\u5177\u4f53\u7684\u306b\u306f\u4ee5\u4e0b\u306e\u901a\u308a\u3067\u3059\u3002\u3053\u3053\u3067$ I$\u3068$ C$\u306f\u305d\u308c\u305e\u308c\u6c42\u3081\u308b\u72ec\u7acb\u70b9\u96c6\u5408\u3068\u30af\u30ea\u30fc\u30af\u3092\u8868\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>\u30b0\u30e9\u30d5\u306e\u9802\u70b9\u6570\u304c0\u306a\u3089\u3070$ I=\u2205$\u3001$ C=\u2205$\u3068\u3057\u3066\u7d42\u4e86\u3059\u308b\u3002<\/li><li>\u9802\u70b9$ v$\u3092\u9078\u629e\u3059\u308b\u3002<\/li><li>\u9802\u70b9$ v$\u306b\u96a3\u63a5\u3057\u3066\u3044\u308b\u9802\u70b9\u306e\u90e8\u5206\u30b0\u30e9\u30d5\u3067Ramsey\u3092\u5b9f\u884c\u3057\uff0c\u72ec\u7acb\u70b9\u96c6\u5408($ I_1$)\u3068\u30af\u30ea\u30fc\u30af($ C_1$)\u3092\u6c42\u3081\u308b\u3002<\/li><li>\u9802\u70b9$ v$\u306b\u96a3\u63a5\u3057\u3066\u3044\u306a\u3044\u9802\u70b9\u306e\u90e8\u5206\u30b0\u30e9\u30d5\u3067Ramsey\u3092\u5b9f\u884c\u3057\uff0c\u72ec\u7acb\u70b9\u96c6\u5408($ I_2$)\u3068\u30af\u30ea\u30fc\u30af($ C_2$)\u3092\u6c42\u3081\u308b\u3002<\/li><li>$ C_1$\u3068$ I_2$\u306b$ v$\u3092\u8ffd\u52a0\u3059\u308b\u3002<\/li><li>$ I_1$\u3068$ I_2$\u306e\u9802\u70b9\u6570\u304c\u591a\u3044\u65b9\u3092$ I$\u3001$ C_1$\u3068$ C_2$\u306e\u9802\u70b9\u6570\u304c\u591a\u3044\u65b9\u3092$ C$\u3068\u3057\u3066$ I$\u3068$ C$\u3092\u6c42\u3081\u3066\u7d42\u4e86\u3059\u308b\u3002<\/li><\/ol>\n\n\n\n<p>Ramsey\u306f\u4e0b\u56f3\u306e\u3088\u3046\u306b\u52d5\u4f5c\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2022\/02\/48a9ea17a595c02cb058cb5c0f44cd1c.png\" alt=\"\" class=\"wp-image-2830\" width=\"566\" height=\"446\"\/><figcaption>\u56f32\uff1aRamsey\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0<\/figcaption><\/figure><\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"CliqueRemoval\"><\/span>CliqueRemoval<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>CliqueRemoval[1]\u306fRamsey\u3092\u6539\u826f\u3057\u305f\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u3059\u3002\u3053\u308c\u306f\u72ec\u7acb\u70b9\u96c6\u5408\u3068\u30af\u30ea\u30fc\u30af\u306e\u96c6\u5408\u3092\u6c42\u3081\u308b\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u3059\u3002\u305f\u3060\u3057Ramsey\u3068\u306f\u7570\u306a\u308a\u3001CliqueRemoval\u3067\u306f\u8907\u6570\u500b\u306e\u30af\u30ea\u30fc\u30af\u3092\u6c42\u3081\u307e\u3059\u3002CliqueRemoval\u306fRamsey\u3092\u5b9f\u884c\u3057\u3066\u30b0\u30e9\u30d5\u304b\u3089Ramsey\u3067\u5f97\u3089\u308c\u305f\u30af\u30ea\u30fc\u30af\u3092\u524a\u9664\u3059\u308b\u3053\u3068\u3092\u7e70\u308a\u8fd4\u3057\u307e\u3059\u3002\u5177\u4f53\u7684\u306b\u306f\u4ee5\u4e0b\u306e\u901a\u308a\u3067\u3059\u3002\u3053\u3053\u3067$ I$\u3068$ C$\u306f\u305d\u308c\u305e\u308c\u6c42\u3081\u308b\u72ec\u7acb\u70b9\u96c6\u5408\u3068\u30af\u30ea\u30fc\u30af\u306e\u96c6\u5408\u3092\u8868\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>\u30b0\u30e9\u30d5\u304b\u3089Ramsey\u3092\u5229\u7528\u3057\u3066\u30af\u30ea\u30fc\u30af\u3068\u72ec\u7acb\u70b9\u96c6\u5408\u3092\u6c42\u3081\u308b<\/li><li>\u30b0\u30e9\u30d5\u304b\u3089\u5f97\u3089\u308c\u305f\u30af\u30ea\u30fc\u30af\u3092\u524a\u9664\u3059\u308b\u3002<\/li><li>\u30b0\u30e9\u30d5\u306e\u9802\u70b9\u6570\u304c0\u306a\u3089\u3070\u624b\u98065\u3078\u79fb\u52d5\u3059\u308b\u3002<\/li><li>Ramsey\u3092\u5229\u7528\u3057\u3066\u30af\u30ea\u30fc\u30af\u3068\u72ec\u7acb\u70b9\u96c6\u5408\u3092\u6c42\u3081\u3066\u624b\u98062\u306b\u623b\u308b\u3002<\/li><li>\u5f97\u3089\u308c\u305f\u72ec\u7acb\u70b9\u96c6\u5408\u306e\u3046\u3061\u3001\u6700\u3082\u9802\u70b9\u6570\u306e\u591a\u3044\u3082\u306e\u3092$ I$\u3068\u3057\u3001$ C$\u3092\u3059\u3079\u3066\u306e\u5f97\u3089\u308c\u305f\u30af\u30ea\u30fc\u30af\u304b\u3089\u306a\u308b\u96c6\u5408\u3068\u3057\u3066$ I$\u3068$ C$\u3092\u51fa\u529b\u3059\u308b\u3002<\/li><\/ol>\n\n\n\n<p>CliqueRemoval\u306f\u4e0b\u56f3\u306e\u3088\u3046\u306b\u52d5\u4f5c\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2022\/02\/74c849f55daaa7c04776db8fff6429f9-1.png\" alt=\"\" class=\"wp-image-2832\" width=\"525\" height=\"370\"\/><figcaption>\u56f33\uff1aCliqueRemoval\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0<\/figcaption><\/figure><\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"SampleIS\"><\/span>SampleIS<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>SampleIS[2]\u306f\u72ec\u7acb\u70b9\u96c6\u5408\u3092\u6c42\u3081\u308b\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u3001CliqueRemoval\u3092\u6539\u826f\u3057\u305f\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u3059\u3002SampleIS\u306f\u9802\u70b9\u6570\u306b\u5fdc\u3058\u3066\u518d\u5e30\u7684\u306a\u5b9f\u884c\u307e\u305f\u306fCliqueRemoval\u306e\u5b9f\u884c\u3092\u884c\u3044\u307e\u3059\u3002\u5177\u4f53\u7684\u306b\u306f\u4ee5\u4e0b\u306e\u901a\u308a\u3067\u3059\u3002\u3053\u3053\u3067$ I$\u306f\u6c42\u3081\u308b\u72ec\u7acb\u70b9\u96c6\u5408\u3001$ n$\u306f\u30b0\u30e9\u30d5\u306e\u9802\u70b9\u6570\u3001$ k$\u306f\u30b0\u30e9\u30d5\u3092\u5f69\u8272\u3059\u308b\u8272\u306e\u6570\u3092\u8868\u3057\u3001\u30b0\u30e9\u30d5\u304c$ k$\u8272\u3067\u5f69\u8272\u53ef\u80fd\u3067\u3042\u308b\u3068\u4eee\u5b9a\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>\u30b0\u30e9\u30d5\u306e\u9802\u70b9\u6570\u304c1\u306a\u3089\u3070$ I$\u306b\u305d\u306e\u9802\u70b9\u3092\u8ffd\u52a0\u3057\u3066\u7d42\u4e86\u3059\u308b\u3002<\/li><li>\u30b0\u30e9\u30d5\u304b\u3089$ \\log_{k}n$\u500b\u306e\u9802\u70b9\u3092\u30e9\u30f3\u30c0\u30e0\u306b\u9078\u629e\u3059\u308b(\u3053\u306e\u9802\u70b9\u306e\u96c6\u5408\u3092$ I_1$\u3068\u3059\u308b)\u3002<\/li><li>$ I_1$\u304c\u72ec\u7acb\u70b9\u96c6\u5408\u3067\u306a\u3044\u306a\u30892.\u306b\u623b\u308b\u3002<\/li><li>$ I_1$\u306e\u3069\u306e\u9802\u70b9\u306b\u3082\u96a3\u63a5\u3057\u3066\u3044\u306a\u3044\u3088\u3046\u306a\u9802\u70b9\u306e\u6570\u304c$ \\frac{n}{k}\\log n \/ 2 \\log \\log n$\u4ee5\u4e0a\u306a\u3089\u3070\u3001$ I_1$\u306b\u96a3\u63a5\u3057\u3066\u3044\u306a\u3044\u9802\u70b9\u96c6\u5408\u3067SampleIS\u3092\u5b9f\u884c\u3057\u3066\u72ec\u7acb\u70b9\u96c6\u5408\u3092\u6c42\u3081\u308b\u3002$ I$\u3092SampleIS\u3067\u6c42\u3081\u305f\u72ec\u7acb\u70b9\u96c6\u5408\u3068$ I_1$\u306e\u548c\u96c6\u5408\u3092$ I$\u3068\u3057\u3066\u7d42\u4e86\u3059\u308b\u3002<\/li><li>$ I_1$\u306b\u96a3\u63a5\u3057\u3066\u3044\u306a\u3044\u9802\u70b9\u3067CliqueRemoval\u3092\u5b9f\u884c\u3057\u3066\u72ec\u7acb\u70b9\u96c6\u5408\u3092\u6c42\u3081\u308b\u3002$ I_2$\u3092\u6c42\u3081\u305f\u72ec\u7acb\u70b9\u96c6\u5408\u3068$ I_1$\u306e\u548c\u96c6\u5408\u3068\u3059\u308b\u3002<\/li><li>$ I_2$\u306e\u9802\u70b9\u306e\u6570\u304c$ \\log^{3}n\/6 \\log \\log n$\u4ee5\u4e0a\u306a\u3089\u3070$I= I_2$\u3068\u3057\u3066\u7d42\u4e86\u3059\u308b\u3002<\/li><li>2.\u306b\u623b\u308b<\/li><\/ol>\n\n\n\n<p>SampleIS\u306f\u4e0b\u56f3\u306e\u3088\u3046\u306b\u52d5\u4f5c\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2022\/02\/27ee381d908fcc22ac91ce94a825424e-852x1024.png\" alt=\"\" class=\"wp-image-2833\" width=\"602\" height=\"723\"\/><figcaption>\u56f34\uff1aSampleIS\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0<\/figcaption><\/figure><\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%8F%82%E8%80%83%E6%96%87%E7%8C%AE\"><\/span>\u53c2\u8003\u6587\u732e<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>[1] R.Bopanna and M.M.Halld\u00f3rsson. Approximating maximum independent sets by excluding subgraphs. <em>BIT Numerical Mathematics<\/em>, <strong>32<\/strong>(2), pp. 180<strong>\u2014<\/strong>196, 1992.<br>[2] M.M.Halld\u00f3rsson. A still better performance guarantee for approximate graph coloring. <em>Information Processing Letters<\/em>, <strong>45<\/strong>(1), pp. 19<strong>\u2014<\/strong>23, 1993.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E3%81%82%E3%81%A8%E3%81%8C%E3%81%8D\"><\/span>\u3042\u3068\u304c\u304d<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Ramsey\u3084CliqueRemoval\u306f\u6bd4\u8f03\u7684\u5358\u7d14\u306b\u611f\u3058\u307e\u3057\u305f\u304c\u3001SampleIS\u306f\u9802\u70b9\u6570\u306a\u3069\u306e\u57fa\u6e96\u3067\u4f55\u3092\u5b9f\u884c\u3059\u308b\u304b\u3092\u6c7a\u5b9a\u3059\u308b\u306e\u304c\u9762\u767d\u304f\u611f\u3058\u307e\u3057\u305f\u3002\u3053\u308c\u3089\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u8fd1\u4f3c\u6027\u80fd\u306f\u7406\u89e3\u3067\u304d\u3066\u3044\u306a\u3044\u306e\u3067\u52c9\u5f37\u3057\u305f\u3044\u3068\u601d\u3044\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u672c\u8a18\u4e8b\u3067\u306f\u72ec\u7acb\u70b9\u96c6\u5408\u3092\u6c42\u3081\u308b3\u3064\u306e\u8fd1\u4f3c\u7684\u306a\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0Ramsey\u3001CliqueRemoval\u3001SampleIS\u3092\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n","protected":false},"author":10,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[45,51,75,100,106,112,119],"class_list":["post-2827","post","type-post","status-publish","format-standard","hentry","category-review","tag-45","tag-51","tag-75","tag-100","tag-106","tag-112","tag-119"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - 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