Coefficient relationship between rook and chromatic polynomials |
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| Authors: | Kang Yueh Samuel D Bedrosian |
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| Institution: | Moore School of Electrical Engineering University of Pennsylvania, Philadelphia, Pennsylvania, USA |
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| Abstract: | It is shown that a p+q node graph Gc representation can be drawn for a chessboard C(p,q) i.e. an array of p rows and q columns. It is shown further that the coefficients of the rook polynomial for C(p,q) correspond 1:1 inversely with the coefficients of the chromatic polynomial for Gc written in factorial form. |
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