Ramsey‐type results for Gallai colorings

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 Contract grant sponsor: OTKA; Contract grant number: K68322 (to A. G. and G. N. S.); Contract grant sponsor: National Science Foundation; Contract grant number: DMS-0456401 (to G. N. S.); Contract grant sponsor: Janos Bolyai Research Scholarship (to G. N. S.). Journal of Graph Theory 2009 Wiley Periodicals, Inc.

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