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{"type":"standard","title":"Clique-sum","displaytitle":"Clique-sum","namespace":{"id":0,"text":""},"wikibase_item":"Q5134410","titles":{"canonical":"Clique-sum","normalized":"Clique-sum","display":"Clique-sum"},"pageid":17598460,"thumbnail":{"source":"https://upload.wikimedia.org/wikipedia/commons/thumb/4/47/Clique-sum.svg/320px-Clique-sum.svg.png","width":320,"height":320},"originalimage":{"source":"https://upload.wikimedia.org/wikipedia/commons/thumb/4/47/Clique-sum.svg/630px-Clique-sum.svg.png","width":630,"height":630},"lang":"en","dir":"ltr","revision":"1247625693","tid":"d58a003f-7af3-11ef-a91e-0a61cdc7fa98","timestamp":"2024-09-25T04:08:35Z","description":"Gluing graphs at complete subgraphs","description_source":"local","content_urls":{"desktop":{"page":"https://en.wikipedia.org/wiki/Clique-sum","revisions":"https://en.wikipedia.org/wiki/Clique-sum?action=history","edit":"https://en.wikipedia.org/wiki/Clique-sum?action=edit","talk":"https://en.wikipedia.org/wiki/Talk:Clique-sum"},"mobile":{"page":"https://en.m.wikipedia.org/wiki/Clique-sum","revisions":"https://en.m.wikipedia.org/wiki/Special:History/Clique-sum","edit":"https://en.m.wikipedia.org/wiki/Clique-sum?action=edit","talk":"https://en.m.wikipedia.org/wiki/Talk:Clique-sum"}},"extract":"In graph theory, a branch of mathematics, a clique sum is a way of combining two graphs by gluing them together at a clique, analogous to the connected sum operation in topology. If two graphs G and H each contain cliques of equal size, the clique-sum of G and H is formed from their disjoint union by identifying pairs of vertices in these two cliques to form a single shared clique, and then deleting all the clique edges or possibly deleting some of the clique edges. A k-clique-sum is a clique-sum in which both cliques have exactly k vertices. One may also form clique-sums and k-clique-sums of more than two graphs, by repeated application of the clique-sum operation.","extract_html":"
In graph theory, a branch of mathematics, a clique sum is a way of combining two graphs by gluing them together at a clique, analogous to the connected sum operation in topology. If two graphs G and H each contain cliques of equal size, the clique-sum of G and H is formed from their disjoint union by identifying pairs of vertices in these two cliques to form a single shared clique, and then deleting all the clique edges or possibly deleting some of the clique edges. A k-clique-sum is a clique-sum in which both cliques have exactly k vertices. One may also form clique-sums and k-clique-sums of more than two graphs, by repeated application of the clique-sum operation.
"}{"fact":"The largest breed of cat is the Ragdoll with males weighing in at 1 5 to 20 lbs. The heaviest domestic cat on record was a neutered male tabby named Himmy from Queensland, Australia who weighed 46 lbs. 1 5 oz.","length":209}
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