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Linear and Multilinear AlgebraVolume 59, Issue 8, August 2011, Pages 929-942

A generalization of fiedler's lemma and some applications(Article)

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  • aDepartamento de Matemática, Universidade de Aveiro, Aveiro, Portugal
  • bFaculty of Science, University of Kragujevac, Kragujevac, Serbia
  • cDepartamento de Matemáticas, Universidad Católica del Norte, Antofagasta, Chile

Abstract

In a previous paper [M. Robbiano, E.A. Martins, and I. Gutman, Extending a theorem by Fiedler and applications to graph energy, MATCH Commun. Math. Comput. Chem. 64 (2010), pp. 145-156], a lemma by Fiedler was used to obtain eigenspaces of graphs, and applied to graph energy. In this article Fiedler's lemma is generalized and this generalization is applied to graph spectra and graph energy. © 2011 Taylor & Francis.

Author keywords

Graph energyGraph spectrum

Funding details

Funding sponsor Funding number Acronym
Fundação para a Ciência e a Tecnologia
See opportunities by FCT
PTDC/MAT/112276/2009FCT
Comisión Nacional de Investigación Científica y TecnológicaCONICYT
Fondo Nacional de Desarrollo Científico y Tecnológico11090211FONDECYT
Center for Research and Development in Mathematics and ApplicationsCIDMA
  • 1

    The research of Domingos M. Cardoso and Enide Andrade Martins was supported by Centre for Research and Development in Mathematics and Applications (CIDMA) from the ‘Fundac¸ ão para a Ciência e a Tecnologia – FCT’, cofinanced by the European Community Fund FEDER/POCI 2010 and Project Graph Spectra and Applications with reference PTDC/MAT/112276/2009. María Robbiano thanks Comisión Nacional de Investigación Científica y Tecnológica CONICYT for support of this work, through the Proyecto FONDECYT IC No. 11090211.

  • ISSN: 03081087
  • Source Type: Journal
  • Original language: English
  • DOI: 10.1080/03081087.2010.536982
  • Document Type: Article

  Robbiano, M.; Departamento de Matemáticas, Universidad Católica del Norte, Chile;
© Copyright 2011 Elsevier B.V., All rights reserved.

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