{"id":179131,"date":"2023-12-25T15:17:25","date_gmt":"2023-12-25T21:17:25","guid":{"rendered":"https:\/\/lifeboat.com\/blog\/2023\/12\/a-close-up-view-reveals-the-melting-point-of-an-infinite-graph"},"modified":"2023-12-25T15:17:25","modified_gmt":"2023-12-25T21:17:25","slug":"a-close-up-view-reveals-the-melting-point-of-an-infinite-graph","status":"publish","type":"post","link":"https:\/\/lifeboat.com\/blog\/2023\/12\/a-close-up-view-reveals-the-melting-point-of-an-infinite-graph","title":{"rendered":"A Close-Up View Reveals the \u2018Melting\u2019 Point of an Infinite Graph"},"content":{"rendered":"<p><a class=\"aligncenter blog-photo\" href=\"https:\/\/lifeboat.com\/blog.images\/a-close-up-view-reveals-the-melting-point-of-an-infinite-graph2.jpg\"><\/a><\/p>\n<p>A new proof shows what happens tographs before and after a sudden shift called the percolation threshold.<\/p>\n<hr>\n<p>Just as ice melts to water, graphs undergo phase transitions. Two mathematicians showed that they can pinpoint such transitions by examining only local structure.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A new proof shows what happens tographs before and after a sudden shift called the percolation threshold. Just as ice melts to water, graphs undergo phase transitions. Two mathematicians showed that they can pinpoint such transitions by examining only local structure.<\/p>\n","protected":false},"author":709,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2229],"tags":[],"class_list":["post-179131","post","type-post","status-publish","format-standard","hentry","category-mathematics"],"_links":{"self":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/179131","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/users\/709"}],"replies":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/comments?post=179131"}],"version-history":[{"count":0,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/179131\/revisions"}],"wp:attachment":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/media?parent=179131"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/categories?post=179131"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/tags?post=179131"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}