Laplacian eigenvectors and eigenvalues and almost equitable partitions

Relations between Laplacian eigenvectors and eigenvalues and the existence of almost equitable partitions (which are generalizations of equitable partitions) are presented. Furthermore, on the basis of some properties of the adjacency eigenvectors of a graph, a necessary and sufficient condition for...

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Bibliographic Details
Main Author: Cardoso, Domingos M. (author)
Other Authors: Delorme, C. (author), Rama, P. (author)
Format: article
Language:eng
Published: 1000
Online Access:http://hdl.handle.net/10773/4310
Country:Portugal
Oai:oai:ria.ua.pt:10773/4310
Description
Summary:Relations between Laplacian eigenvectors and eigenvalues and the existence of almost equitable partitions (which are generalizations of equitable partitions) are presented. Furthermore, on the basis of some properties of the adjacency eigenvectors of a graph, a necessary and sufficient condition for the graph to be primitive strongly regular is introduced. © 2006 Elsevier Ltd. All rights reserved.