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A General Spectral Bound for Distant Vertex Subsets

Published online by Cambridge University Press:  28 January 2003

M. A. FIOL
Affiliation:
Departament de Matemàtica Aplicada i Telemàtica, Universitat Politècnica de Catalunya, Jordi Girona 1-3, Mòdul C3, Campus Nord, 08034 Barcelona, Spainfiol@mat.upc.es

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
Copyright
2003 Cambridge University Press

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