# Ramsey‐type results for Gallai colorings

@article{Gyrfs2010RamseytypeRF,
title={Ramsey‐type results for Gallai colorings},
author={Andr{\'a}s Gy{\'a}rf{\'a}s and G{\'a}bor N. S{\'a}rk{\"o}zy and Andr{\'a}s Seb{\"o} and Stanley M. Selkow},
journal={Journal of Graph Theory},
year={2010},
volume={64}
}
• Published 1 July 2010
• Mathematics
• Journal of Graph Theory
A Gallai‐coloring of a complete graph is an edge coloring such that no triangle is colored with three distinct colors. Gallai‐colorings occur in various contexts such as the theory of partially ordered sets (in Gallai's original paper) or information theory. Gallai‐colorings extend 2‐colorings of the edges of complete graphs. They actually turn out to be close to 2‐colorings—without being trivial extensions. Here, we give a method to extend some results on 2‐colorings to Gallai‐colorings, among…
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