2012•Huadong Shifan Daxue xuebao. Ziran kexue banRequires access

Star edge coloring of $d$-dimensional grids

Kai Deng, Xinsheng Liu, Tian Shuang-liang

Abstract

The star chromatic index of graph G is denoted byχ_s~'(G).In this paper,we studied the relationship betweenχ_s~′(G),|V(G)| = v,and |E(G)| =e,and provedthat[3v/8e]≤χ_s~′(G) for△(G)≥2.The star chromatic index of 2-dimensional grid wasobtained.We also got the attainable bounds for the star chromatic index of hypercubesand d-dimensional grids.

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Key concepts: Star (game theory), Edge coloring, Chromatic scale, Graph, Index (typography), Mathematics, Combinatorics, Physics