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A sharp lower bound for the least eigenvalue of the signless Laplacian of a non-bipartite graph

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Detalhes bibliográficos
Resumo:We prove that the minimum value of the least eigenvalue of the signless Laplacian of a connected non-bipartite graph with a prescribed number of vertices is attained solely in the unicyclic graph obtained from a triangle by attaching a path at one of its endvertices. © 2008 Elsevier Inc. All rights reserved.
Autores principais:Cardoso, D.M.
Outros Autores:Cvetković, D.; Rowlinson, P.; Simić, S.K.
Assunto:Graph spectra Least eigenvalue Control theory Bipartite graphs Line graph Signless Laplacian Unicyclic graphs Graph theory
Ano:2008
País:Portugal
Tipo de documento:artigo
Tipo de acesso:acesso restrito
Instituição associada:Universidade de Aveiro
Idioma:inglês
Origem:RIA - Repositório Institucional da Universidade de Aveiro
Descrição
Resumo:We prove that the minimum value of the least eigenvalue of the signless Laplacian of a connected non-bipartite graph with a prescribed number of vertices is attained solely in the unicyclic graph obtained from a triangle by attaching a path at one of its endvertices. © 2008 Elsevier Inc. All rights reserved.