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The change in index of a graph resulting from the attachment of a pendant edge

Published online by Cambridge University Press:  14 November 2011

F. K. Bell  and
P. Rowlinson
F. K. Bell
Affiliation:
Department of Mathematics, University of Stirling, Stirling, FK9 4LA, Scotland, U.K.
P. Rowlinson
Affiliation:
Department of Mathematics, University of Stirling, Stirling, FK9 4LA, Scotland, U.K.
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Synopsis

Conditions are obtained under which a graph G', obtained from a graph G by the attachment of a pendant edge, may be regarded as a perturbation of G. In this situation the index of G' is expressed as the sum of a convergent series whose terms are determined by the spectrum and certain angles of G.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 108 , Issue 1-2 , 1988 , pp. 67 - 74
Copyright
Copyright © Royal Society of Edinburgh 1988

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References

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