Mathematics > Combinatorics
[Submitted on 31 Jul 2018 (v1), last revised 9 Oct 2018 (this version, v2)]
Title:Combinatorial proofs of the Newton-Girard and Chapman-Costas-Santos identities
View PDFAbstract: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.
Submission history
From: Sudip Bera [view email][v1] Tue, 31 Jul 2018 10:45:29 UTC (122 KB)
[v2] Tue, 9 Oct 2018 10:32:27 UTC (9 KB)
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