Geodesic
Colorful subhypergraphs in Kneser hypergraphs
Frédéric Meunier1
1Université Paris Est CERMICS
The electronic journal of combinatorics, Tome 21 (2014) no. 1
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Using a $\mathbb{Z}_q$-generalization of a theorem of Ky Fan, we extend to Kneser hypergraphs a theorem of Simonyi and Tardos that ensures the existence of multicolored complete bipartite graphs in any proper coloring of a Kneser graph. It allows to derive a lower bound for the local chromatic number of Kneser hypergraphs (using a natural definition of what can be the local chromatic number of a uniform hypergraph).
DOI : 10.37236/3573
Classification : 05C65, 05C15
Mots-clés : colorful complete \(p\)-partite hypergraph, combinatorial topology, Kneser hypergraphs, local chromatic number

Frédéric Meunier  1

1 Université Paris Est CERMICS 
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Frédéric Meunier. Colorful subhypergraphs in Kneser hypergraphs. The electronic journal of combinatorics, Tome 21 (2014) no. 1. doi: 10.37236/3573

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