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arXiv · 1605.03374

A note on Erdös-Faber-Lovász Conjecture and edge coloring of complete graphs

Gabriela Araujo-Pardo·Adrián Vázquez-Ávila
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Abstract

A linear hypergraph is intersecting if any two different edges have exactly one common vertex and an $n$-quasicluster is an intersecting linear hypergraph with $n$ edges each one containing at most $n$ vertices and every vertex is contained in at least two edges. The Erdös-Faber-Lovász Conjecture states that the chromatic number of any $n$-quasicluster is at most $n$. In the present note we prove the correctness of the conjecture for a new infinite class of $n$-quasiclusters using a specific edge coloring of the complete graph.

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Gabriela Araujo-Pardo, Adrián Vázquez-Ávila. 2016-05-11. A note on Erdös-Faber-Lovász Conjecture and edge coloring of complete graphs. https://arxiv.org/abs/1605.03374

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