Approximate Multipartite Version of the Hajnal--Szemerédi Theorem

dc.creatorCsaba, Bela
dc.date2008-07-28
dc.date.accessioned2026-07-07T09:53:18Z
dc.date.available2026-07-07T09:53:18Z
dc.descriptionLet $q$ be a positve integer, and $G$ be a $q$-partite simple graph on $qn$ vertices, with $n$ vertices in each vertex class. Let $δ={k_q \over k_q+1}$, where $k_q=q+O(\log{q})$. If each vertex of $G$ is adjacent to at least $δn$ vertices in each of the other vertex classes, $q$ is bounded and $n$ is large enough, then $G$ has a $K_q$-factor.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0807.4463
dc.identifierhttp://arxiv.org/abs/0807.4463
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165907
dc.subjectCombinatorics
dc.subject05C70
dc.titleApproximate Multipartite Version of the Hajnal--Szemerédi Theorem
dc.typetext

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