Wednesday, 2 September 2015

Strong chromatic index of graphs: a short survey

Strong chromatic index of graphs: a short survey
Xiaodan Zhao1, Xiaofeng Zhou2

1School of Mathematics and Statistics, Henan University, Kaifeng, 475004, China
2Yellow River Conservancy Technical Institute, Kaifeng, 475004, China

Abstract A strong edge coloring of a graph G  is an edge coloring such that every two adjacent edges or two edges adjacent to a same edge receive two distinct colors; in other words, every path of length three has three distinct colors in G. The strong chromatic index of G, denoted by , is the smallest integer k such that G admits a strong edge coloring with k  colors. This survey is an brief introduction to some good results regarding the strong chromatic index of planar graphs, bipartite graphs and so on. 

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