Title | GENERALIZED TURAN’S GRAPH THEOREM |
Publication Type | Journal Article |
Year of Publication | 2004 |
Authors | Khadzhiivanov N, Nenov N |
Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
Volume | 96 |
Keywords | complete s-partite graph, Turan's graph |
Abstract | Let $G$ be an $n$-vertex graph and there is a vertex of $G$ which is contained in maximum number of $p$-cliques, but is not contained in $(s+1)$-clique, where ${2\le p\le\min(s,n)}$. Then the number of $p$-cliques of $G$ is less than the number of $p$-cliques in the $n$-vertex $S$-partite Tur\'an's graph $T_s(n)$ or $G=T_s(n)$. |
2000 MSC | 05C35 |
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