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Combinatorial proofs of the Newton-Girard and Chapman-Costas-Santos identities

Published 31 Jul 2018 in math.CO | (1807.11749v2)

Abstract: In this paper we give combinatorial proofs of some well known identities and obtain some generalizations. We give a visual proof of a result of Chapman and Costas-Santos regarding the determinant of sum of matrices. Also we find a new identity expressing permanent of sum of matrices. Besides, we give a graphical interpretation of Newton-Girard identity.

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