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A General Spectral Bound for Distant Vertex Subsets

Published online by Cambridge University Press:  28 January 2003

M. A. FIOL
M. A. FIOL
Affiliation:
Departament de Matemàtica Aplicada i Telemàtica, Universitat Politècnica de Catalunya, Jordi Girona 1-3, Mòdul C3, Campus Nord, 08034 Barcelona, [email protected]
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Abstract

A general spectral bound for the sizes of some vertex subsets, which are mutually at a given minimum distance in a graph, is derived. This unifies and improves some previous results. Some applications to the study of certain metric parameters of the graph are then discussed.

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 12 , Issue 1 , January 2003 , pp. 17 - 26
Copyright
2003 Cambridge University Press

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