Rainbow Graphs and Switching Classes

Mathematics – Combinatorics

Scientific paper

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Scientific paper

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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