A note on balanced edge-colorings avoiding rainbow cliques of size four
Abstract
A balanced edge-coloring of the complete graph is an edge-coloring such that every vertex is incident to each color the same number of times. In this short note, we present a construction of a balanced edge-coloring with six colors of the complete graph on n=13k vertices, for every positive integer k, with no rainbow K4. This solves a problem by Erdos and Tuza.
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