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Matching, Rook and Chromatic Polynomials and Chromatically Vector Equivalent Graphs

E. J. Farrell1, Earl Glen Whitehead, Jr.2
1Department of Mathematics The University of the West Indies St. Augustine, Trinidad
2Department of Mathematics and Statistics University of Pittsburgh Pittsburgh, PA 15260, USA

Abstract

It is shown that under certain conditions, the embeddings of chessboards in square boards, yield non-isomorphic associated graphs which have the same chro- matic polynomials. In some cases, sets of non-isomorphic graphs with this property are formed.