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arXiv · 1108.6143

Rainbow Graphs and Switching Classes

Suho Oh·Hwanchul Yoo·Taedong Yun
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Abstract

A rainbow graph is a graph that admits a vertex-coloring such that every color appears exactly once in the neighborhood of each vertex. We investigate some properties of rainbow graphs. In particular, we show that there is a bijection between the isomorphism classes of n-rainbow graphs on 2n vertices and the switching classes of graphs on n vertices.

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Suho Oh, Hwanchul Yoo, Taedong Yun. 2012-10-09. Rainbow Graphs and Switching Classes. https://doi.org/10.1137/110855089

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