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Spectra of graphs obtained by a generalization of the join graph operation
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| DOI | 10.1016/J.DISC.2012.10.016 | ||||
| Año | 2013 | ||||
| Tipo | artículo de investigación |
Citas Totales
Autores Afiliación Chile
Instituciones Chile
% Participación
Internacional
Autores
Afiliación Extranjera
Instituciones
Extranjeras
Abstract
Taking a Fiedler's result on the spectrum of a matrix formed from two symmetric matrices as a motivation, a more general result is deduced and applied to the determination of adjacency and Laplacian spectra of graphs obtained by a generalized join graph operation on families of graphs (regular in the case of adjacency spectra and arbitrary in the case of Laplacian spectra). Some additional consequences are explored, namely regarding the largest eigenvalue and algebraic connectivity. (C) 2012 Elsevier B.V. All rights reserved.
| Ord. | Autor | Género | Institución - País |
|---|---|---|---|
| 1 | Cardoso, Domingos M. | Hombre |
Univ Aveiro - Portugal
Universidade de Aveiro - Portugal |
| 2 | de Freitas, Maria Aguieiras A. | Mujer |
UNIV FED RIO DE JANEIRO - Brasil
Universidade Federal do Rio de Janeiro - Brasil |
| 3 | Andrade, Enide | - |
Univ Aveiro - Portugal
Universidade de Aveiro - Portugal |
| 4 | ROBBIANO-BUSTAMANTE, MARIA ROSARIO | Mujer |
Universidad Católica del Norte - Chile
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| Fuente |
|---|
| Fundação para a Ciência e a Tecnologia |
| Fondo Nacional de Desarrollo Científico y Tecnológico |
| Comisión Nacional de Investigación Científica y Tecnológica |
| European Community |
| Fondecyt, Chile |
| Comisión Nacional de Investigación CientÃfica y Tecnológica |
| Programa Operacional Temático Factores de Competitividade |
| Fundação para a Ciência e a Tecnologia |
| Fondo Nacional de Desarrollo CientÃfico, Tecnológico y de Innovación Tecnológica |
| Instituto Nacional de Ciência e Tecnologia para Excitotoxicidade e Neuroproteção |
| Programa Operacional Temático Factores de Competitividade |
| Universidade de Aveiro |
| Portuguese Foundation for Science and Technology ("FCT-Fundacao para a Ciencia e a Tecnologia") |
| Center for Research and Development in Mathematics and Applications |
| COMPETE |
| Centre for Research and Development in Mathematics and Applications from the Fundacao para a Ciencia e a Tecnologia - FCT |
| Comision Nacional de Investigacion Cientifica y Tecnologica CONICYT-CHILE, through the Proyecto FONDECYT IC |
| FEDER funds through COMPETE Operational Programme Factors of Competitiveness |
| Center for Research and Development in Mathematics and Applications (University of Aveiro) |
| Agradecimiento |
|---|
| Domingos M. Cardoso and Enide A. Martins are supported by FEDER funds through COMPETE Operational Programme Factors of Competitiveness and by Portuguese funds through the Center for Research and Development in Mathematics and Applications (University of Aveiro) and the Portuguese Foundation for Science and Technology ("FCT-Fundacao para a Ciencia e a Tecnologia"), within project PEst-C/MAT/UI4106/2011 with COMPETE number FCOMP-01-0124-FEDER-022690. M. Robbiano is partially supported by Fondecyt Grant 11090211, Chile. All the authors are members of the Project PTDC/MAT/112276/2009.The first and the third author's research is supported by Centre for Research and Development in Mathematics and Applications from the Fundacao para a Ciencia e a Tecnologia - FCT, cofinanced by the European Community Fund FEDER/POCI 2010. The fourth author's research is supported by Comision Nacional de Investigacion Cientifica y Tecnologica CONICYT-CHILE, through the Proyecto FONDECYT IC No 11090211. |
| Domingos M. Cardoso and Enide A. Martins are supported by FEDER funds through COMPETE—Operational Programme Factors of Competitiveness and by Portuguese funds through the Center for Research and Development in Mathematics and Applications (University of Aveiro) and the Portuguese Foundation for Science and Technology (“FCT—Fundação para a Ciência e a Tecnologia”), within project PEst-C/MAT/UI4106/2011 with COMPETE number FCOMP-01-0124-FEDER-022690. M. Robbiano is partially supported by Fondecyt Grant 11090211 , Chile. All the authors are members of the Project PTDC/MAT/112276/2009. |
