4.1 Article

RAINBOW GRAPHS AND SWITCHING CLASSES

Journal

SIAM JOURNAL ON DISCRETE MATHEMATICS
Volume 27, Issue 2, Pages 1106-1111

Publisher

SIAM PUBLICATIONS
DOI: 10.1137/110855089

Keywords

rainbow graph; switching class; Seidel matrix; Eulerian graph; two graph; parallelotopic graph; neighbor-complete coloring

Funding

  1. National Research Foundation of Korea
  2. Samsung Scholarship

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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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