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arXiv · 2407.19050

A note on edge colorings distinguishing all triangles in a graph

Monika Pilsniak·Mariusz Wozniak
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Abstract

We consider edge colorings of a graph in such a way that each two different triangles have distinct colorings. It is an extension of the well-known idea of distinguishing all maximal stars in a graph. It was introduced in literature in 1985 and studied by many authors in various variants, but always for stars. We estimate new invariants regarding triangles for proper and general colorings.

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Monika Pilsniak, Mariusz Wozniak. 2024-07-26. A note on edge colorings distinguishing all triangles in a graph. https://arxiv.org/abs/2407.19050

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