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arXiv · 1110.1165

Interval edge-colorings of graph products

Petros A. Petrosyan·Hrant H. Khachatrian·Liana E. Yepremyan·Hovhannes G. Tananyan
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Abstract

An interval t-coloring of a graph G is a proper edge-coloring of G with colors 1,2,...,t such that at least one edge of G is colored by i, i=1,2,...,t, and the edges incident to each vertex v\in V(G) are colored by d_{G}(v) consecutive colors, where d_{G}(v) is the degree of the vertex v in G. In this paper interval edge-colorings of various graph products are investigated.

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Petros A. Petrosyan, Hrant H. Khachatrian, Liana E. Yepremyan, Hovhannes G. Tananyan. 2012-02-01. Interval edge-colorings of graph products. https://arxiv.org/abs/1110.1165

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