{"id":65,"date":"2022-02-20T14:53:25","date_gmt":"2022-02-20T14:53:25","guid":{"rendered":"http:\/\/localhost\/kpv\/?p=65"},"modified":"2025-02-14T17:38:22","modified_gmt":"2025-02-14T17:38:22","slug":"undirected-line-graph","status":"publish","type":"post","link":"https:\/\/dalmolingroup.imd.ufrn.br\/kpv\/undirected-line-graph\/","title":{"rendered":"Undirected line graph"},"content":{"rendered":"\n<p>If two edges in <strong>G<\/strong> share a common vertex, an edge is established between their corresponding vertices in <strong>L(G)<\/strong>, preserving the adjacency relationships from the original graph.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"637\" height=\"540\" src=\"https:\/\/dalmolingroup.imd.ufrn.br\/kpv\/wp-content\/uploads\/2022\/02\/lineGraph3-1.png\" alt=\"\" class=\"wp-image-230\" style=\"width:319px;height:270px\" srcset=\"https:\/\/dalmolingroup.imd.ufrn.br\/kpv\/wp-content\/uploads\/2022\/02\/lineGraph3-1.png 637w, https:\/\/dalmolingroup.imd.ufrn.br\/kpv\/wp-content\/uploads\/2022\/02\/lineGraph3-1-300x254.png 300w\" sizes=\"auto, (max-width: 637px) 100vw, 637px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>If two edges in G share a common vertex, an edge is established between their corresponding vertices in L(G), preserving the adjacency relationships from the&#8230;<\/p>\n<div class=\"more-link-wrapper\"><a class=\"more-link\" href=\"https:\/\/dalmolingroup.imd.ufrn.br\/kpv\/undirected-line-graph\/\">Continue reading<span class=\"screen-reader-text\">Undirected line graph<\/span><\/a><\/div>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-65","post","type-post","status-publish","format-standard","hentry","category-linegraph","entry"],"_links":{"self":[{"href":"https:\/\/dalmolingroup.imd.ufrn.br\/kpv\/wp-json\/wp\/v2\/posts\/65","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/dalmolingroup.imd.ufrn.br\/kpv\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/dalmolingroup.imd.ufrn.br\/kpv\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/dalmolingroup.imd.ufrn.br\/kpv\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/dalmolingroup.imd.ufrn.br\/kpv\/wp-json\/wp\/v2\/comments?post=65"}],"version-history":[{"count":3,"href":"https:\/\/dalmolingroup.imd.ufrn.br\/kpv\/wp-json\/wp\/v2\/posts\/65\/revisions"}],"predecessor-version":[{"id":348,"href":"https:\/\/dalmolingroup.imd.ufrn.br\/kpv\/wp-json\/wp\/v2\/posts\/65\/revisions\/348"}],"wp:attachment":[{"href":"https:\/\/dalmolingroup.imd.ufrn.br\/kpv\/wp-json\/wp\/v2\/media?parent=65"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/dalmolingroup.imd.ufrn.br\/kpv\/wp-json\/wp\/v2\/categories?post=65"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/dalmolingroup.imd.ufrn.br\/kpv\/wp-json\/wp\/v2\/tags?post=65"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}