{"id":25421,"date":"2022-12-10T02:06:24","date_gmt":"2022-12-09T20:36:24","guid":{"rendered":"https:\/\/jassweb.com\/solved\/solved-does-every-undirected-graph-contain-a-cycle\/"},"modified":"2022-12-10T02:06:24","modified_gmt":"2022-12-09T20:36:24","slug":"solved-does-every-undirected-graph-contain-a-cycle","status":"publish","type":"post","link":"https:\/\/jassweb.com\/solved\/solved-does-every-undirected-graph-contain-a-cycle\/","title":{"rendered":"[Solved] Does every undirected graph contain a cycle?"},"content":{"rendered":"<p> [ad_1]<br \/>\n<\/p>\n<div id=\"answer-37772680\" class=\"answer js-answer accepted-answer js-accepted-answer\" data-answerid=\"37772680\" data-parentid=\"37772614\" data-score=\"0\" data-position-on-page=\"1\" data-highest-scored=\"1\" data-question-has-accepted-highest-score=\"1\" itemprop=\"acceptedAnswer\" itemscope itemtype=\"https:\/\/schema.org\/Answer\">\n<div class=\"post-layout\">\n<div class=\"votecell post-layout--left\"><\/div>\n<div class=\"answercell post-layout--right\">\n<div class=\"s-prose js-post-body\" itemprop=\"text\">\n<p>It depends on how you define a cycle in an undirected graph.<\/p>\n<p>The problem is that you have to use the same edge twice in order to complete the cycle in the <strong>undirected<\/strong> graph. While in the <strong>directed<\/strong> graph you use different edges to get from A to B and from B to A<\/p>\n<\/p><\/div>\n<div class=\"mt24\"><\/div>\n<\/div>\n<p>            <span class=\"d-none\" itemprop=\"commentCount\"><\/span> <\/p><\/div>\n<\/div>\n<p>[ad_2]<\/p>\n<p>solved Does every undirected graph contain a cycle? <\/p>\n","protected":false},"excerpt":{"rendered":"<p>[ad_1] It depends on how you define a cycle in an undirected graph. The problem is that you have to use the same edge twice in order to complete the cycle in the undirected graph. While in the directed graph you use different edges to get from A to B and from B to A &#8230; <a title=\"[Solved] Does every undirected graph contain a cycle?\" class=\"read-more\" href=\"https:\/\/jassweb.com\/solved\/solved-does-every-undirected-graph-contain-a-cycle\/\" aria-label=\"More on [Solved] Does every undirected graph contain a cycle?\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[320],"tags":[5136],"class_list":["post-25421","post","type-post","status-publish","format-standard","hentry","category-solved","tag-graph-theory"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>[Solved] Does every undirected graph contain a cycle? - JassWeb<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/jassweb.com\/solved\/solved-does-every-undirected-graph-contain-a-cycle\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"[Solved] Does every undirected graph contain a cycle? - JassWeb\" \/>\n<meta property=\"og:description\" content=\"[ad_1] It depends on how you define a cycle in an undirected graph. The problem is that you have to use the same edge twice in order to complete the cycle in the undirected graph. While in the directed graph you use different edges to get from A to B and from B to A ... 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