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A deletion-contraction algorithm for the characteristic polynomial of a multigraph

Published online by Cambridge University Press:  14 November 2011

Peter Rowlinson
Peter Rowlinson
Affiliation:
Department of Mathematics, University of Stirling, Stirling FK9 4LA, Scotland
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Synopsis

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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 105 , Issue 1 , 1987 , pp. 153 - 160
Copyright
Copyright © Royal Society of Edinburgh 1987

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References

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