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{"type":"standard","title":"Trivially perfect graph","displaytitle":"Trivially perfect graph","namespace":{"id":0,"text":""},"wikibase_item":"Q7844666","titles":{"canonical":"Trivially_perfect_graph","normalized":"Trivially perfect graph","display":"Trivially perfect graph"},"pageid":18033364,"thumbnail":{"source":"https://upload.wikimedia.org/wikipedia/commons/thumb/f/fa/Trivially_perfect_graph.svg/330px-Trivially_perfect_graph.svg.png","width":320,"height":226},"originalimage":{"source":"https://upload.wikimedia.org/wikipedia/commons/thumb/f/fa/Trivially_perfect_graph.svg/505px-Trivially_perfect_graph.svg.png","width":505,"height":356},"lang":"en","dir":"ltr","revision":"1265819642","tid":"064b5b16-c55d-11ef-b33c-71fd0fdad8a0","timestamp":"2024-12-28T20:48:00Z","description":"Graph where every connected induced subgraph has a universal vertex","description_source":"local","content_urls":{"desktop":{"page":"https://en.wikipedia.org/wiki/Trivially_perfect_graph","revisions":"https://en.wikipedia.org/wiki/Trivially_perfect_graph?action=history","edit":"https://en.wikipedia.org/wiki/Trivially_perfect_graph?action=edit","talk":"https://en.wikipedia.org/wiki/Talk:Trivially_perfect_graph"},"mobile":{"page":"https://en.m.wikipedia.org/wiki/Trivially_perfect_graph","revisions":"https://en.m.wikipedia.org/wiki/Special:History/Trivially_perfect_graph","edit":"https://en.m.wikipedia.org/wiki/Trivially_perfect_graph?action=edit","talk":"https://en.m.wikipedia.org/wiki/Talk:Trivially_perfect_graph"}},"extract":"In graph theory, a trivially perfect graph is a graph with the property that in each of its induced subgraphs the size of the maximum independent set equals the number of maximal cliques. Trivially perfect graphs were first studied by but were named by Golumbic (1978); Golumbic writes that \"the name was chosen since it is trivial to show that such a graph is perfect.\" Trivially perfect graphs are also known as comparability graphs of trees, arborescent comparability graphs, and quasi-threshold graphs.","extract_html":"
In graph theory, a trivially perfect graph is a graph with the property that in each of its induced subgraphs the size of the maximum independent set equals the number of maximal cliques. Trivially perfect graphs were first studied by but were named by Golumbic (1978); Golumbic writes that \"the name was chosen since it is trivial to show that such a graph is perfect.\" Trivially perfect graphs are also known as comparability graphs of trees, arborescent comparability graphs, and quasi-threshold graphs.
"}