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On the multiplicity of α as an eigenvalue of Aα(G) of graphs with pendant vertices
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| DOI | 10.1016/J.LAA.2018.04.013 | ||||
| Año | 2018 | ||||
| Tipo | artículo de investigación |
Citas Totales
Autores Afiliación Chile
Instituciones Chile
% Participación
Internacional
Autores
Afiliación Extranjera
Instituciones
Extranjeras
Abstract
is determined in which m(N)(alpha) is the multiplicity of a as an eigenvalue of the matrix N. This matrix is obtained from A(alpha)(G) taking the entries corresponding to the internal vertices which are non quasi-pendant vertices. These results are applied to search for the multiplicity of alpha as an eigenvalue of A(alpha)(G) when G is a path, a caterpillar, a circular caterpillar, a generalized Bethe tree or a Bethe tree. For the Bethe tree case, a simple formula for the nullity is given. (C) 2018 Elsevier Inc. All rights reserved.
| Ord. | Autor | Género | Institución - País |
|---|---|---|---|
| 1 | Cardoso, Domingos M. | Hombre |
Univ Aveiro - Portugal
Universidade de Aveiro - Portugal |
| 2 | Pasten, G. | Hombre |
Universidad Católica del Norte - Chile
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| 3 | ROJO-JERALDO, OSCAR LUIS | Hombre |
Universidad Católica del Norte - Chile
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| Fuente |
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| CONICYT |
| CONICYT-PCHA |
| Fundação para a Ciência e a Tecnologia |
| Fundação para a Ciência e a Tecnologia |
| Instituto Nacional de Ciência e Tecnologia para Excitotoxicidade e Neuroproteção |
| Portuguese Foundation for Science and Technology ("FCT-Fundacao para a Ciencia e a Tecnologia") |
| Portuguese funds through the CIDMA - Center for Research and Development in Mathematics and Applications |
| FCT-Fundação para a Ciência e a Tecnologia |
| Agradecimiento |
|---|
| The research of D.M. Cardoso is partially supported by Portuguese funds through the CIDMA - Center for Research and Development in Mathematics and Applications, and the Portuguese Foundation for Science and Technology ("FCT-Fundacao para a Ciencia e a Tecnologia"), within project UID/MAT/U04106/2013. The research of G. Fasten is supported by CONICYT-PCHA/MagisterNacional/2015-22151590. O. Rojo thanks the hospitality of the Department of Mathematics, Universidade de Aveiro, Aveiro, Portugal, where part of this research was conducted. |
| The research of D.M. Cardoso is partially supported by Portuguese funds through the CIDMA – Center for Research and Development in Mathematics and Applications, and the Portuguese Foundation for Science and Technology (“FCT-Fundação para a Ciência e a Tecnologia”), within project UID/MAT/UO4106/2013. The research of G. Pastén is supported by CONICYT-PCHA /MagisterNacional/ 2015-22151590 . O. Rojo thanks the hospitality of the Department of Mathematics, Universidade de Aveiro, Aveiro, Portugal, where part of this research was conducted. |
