Article ID Journal Published Year Pages File Type
4647181 Discrete Mathematics 2014 11 Pages PDF
Abstract

Improving our earlier result we show that every large enough complete kk-uniform rr-colored hypergraph can be partitioned into at most 50rklog(rk)50rklog(rk) vertex disjoint monochromatic loose cycles. The proof uses a strong hypergraph Regularity Lemma due to Rödl and Schacht and the new, powerful hypergraph Blow-up Lemma of Keevash.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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