\n 12. Recall the graph dynamics problem we did in class, in which we started with a number of vertices and added edges randomly. Suppose we start with just 5 vertices. What is the probability that the graph will be connected after 3 edges are added? If you can\u2019t tell the probability exactly, give a reasonable guess and explanation. Repeat the problem with 4 edges, 5 edges, 10 edges, and 20 edges (if reasonable; go as far as you can reasonably go!) (Remark: to simplify the problem, let\u2019s allow the addition of multiple edges between two given vertices if the same pair comes up more than once. This means you don\u2019t have to worry about whether an edge is \u201creally added\u201d each time.)\n<\/div>\n","protected":false},"excerpt":{"rendered":"

12. Recall the graph dynamics problem we did in class, in which we started with a number of vertices and added edges randomly. Suppose we start with just 5 vertices. What is the probability that the graph will be connected after 3 edges are added? If you can\u2019t tell the probability exactly, give a reasonable […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_joinchat":[]},"categories":[1],"tags":[],"_links":{"self":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/posts\/228589"}],"collection":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/comments?post=228589"}],"version-history":[{"count":0,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/posts\/228589\/revisions"}],"wp:attachment":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/media?parent=228589"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/categories?post=228589"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/tags?post=228589"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}