Article,

A Deletion-Contraction Algorithm for the Characteristic Polynomial of a Multigraph

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Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 105 (1): 153–-160 (January 1987)
DOI: 10.1017/S0308210500021983

Abstract

The characteristic polynomial of a finite multigraph G is expressed in terms of characteristic polynomials oflocal modifications of G. The resulting formula is used to investigate the largest eigenvalues of certain theta graphs.

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