It is known that for a graph on \(n\) vertices \(\left\lfloor n^{2} / 4\right\rfloor+1\) edges is sufficient for the existence of many triangles. In this paper, we determine the minimum number of edges sufficient for the existence of \(k\) triangles intersecting in exactly one common vertex. C 1995
β¦ LIBER β¦
Extremal graphs for intersecting cliques
β Scribed by Guantao Chen; Ronald J. Gould; Florian Pfender; Bing Wei
- Book ID
- 108395404
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 156 KB
- Volume
- 89
- Category
- Article
- ISSN
- 0095-8956
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## Abstract A clique of a graph is a maximal complete subgraph. A (p,q)βgraph has p points and q lines. A cliqueβextremal (p,q)βgraph has either the maximum or the minimum number of cliques among all (p,q)βgraphs. Moon and Moser have determined constructively the maximum number of cliques in a pβpo
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