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Bounds for different spreads of line and total graphs
| Indexado |
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| DOI | 10.1016/J.LAA.2019.06.007 | ||||
| Año | 2019 | ||||
| Tipo | artículo de investigación |
Citas Totales
Autores Afiliación Chile
Instituciones Chile
% Participación
Internacional
Autores
Afiliación Extranjera
Instituciones
Extranjeras
Abstract
In this paper we explore some results concerning the spread of the line and the total graph of a given graph. A sufficient condition for the spread of a unicyclic graph with an odd girth to be at most the spread of its line graph is presented. Additionally, we derive an upper bound for the spread of the line graph of graphs on n vertices having a vertex (edge) connectivity at most a positive integer k. Combining techniques of interlacing of eigenvalues, we derive lower bounds for the Laplacian and signless Laplacian spread of the total graph of a connected graph. Moreover, for a regular graph, an upper and lower bound for the spread of its total graph is given. (C) 2019 Elsevier Inc. All rights reserved.
| Ord. | Autor | Género | Institución - País |
|---|---|---|---|
| 1 | Andrade, Enide | - |
Univ Aveiro - Portugal
Centro de Investigação e Desenvolvimento em Matemática e Aplicações - Portugal |
| 2 | Lenes, Eber | - |
Univ Sinu - Colombia
Universidad del Sinú - Colombia |
| 3 | Mallea-Zepeda, Exequiel | - |
Universidad de Tarapacá - Chile
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| 4 | ROBBIANO-BUSTAMANTE, MARIA ROSARIO | Mujer |
Universidad Católica del Norte - Chile
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| 5 | Rodriguez, Jonnathan | - |
Universidad de Antofagasta - Chile
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| Fuente |
|---|
| Universidad de Tarapacá |
| Fundação para a Ciência e a Tecnologia |
| Portuguese Foundation for Science and Technology |
| Fundação para a Ciência e a Tecnologia |
| Research and Development |
| Instituto Nacional de Ciência e Tecnologia para Excitotoxicidade e Neuroproteção |
| project VRIDT UCN |
| Proyecto UTA-Mayor, Universidad de Tarapaca, Chile |
| Portuguese Foundation for Science and Technology (FCT-Fundacao para a Glenda e a Tecnologia), through CIDMA - Center for Research and Development in Mathematics and Applications |
| Universidad de Tarapacá |
| Instituto Nacional de Ciência e Tecnologia para Excitotoxicidade e Neuroproteção |
| Agradecimiento |
|---|
| The authors are grateful to the anonymous referee, whose constructive comments helped to improve the final version of this work. Enide Andrade was supported in part by the Portuguese Foundation for Science and Technology (FCT-Fundacao para a Glenda e a Tecnologia), through CIDMA - Center for Research and Development in Mathematics and Applications, within project UID/MAT/04106/2019. Exequiel MalleaZepeda was supported by Proyecto UTA-Mayor, 4740-18, Universidad de Tarapaca, Chile. M. Robbiano was partially supported by project VRIDT UCN 20180504001. E. Lenes, E. Mallea-Zepeda and J. Rodriguez also express their gratitude to professor Ricardo Reyes for his careful reading and suggestions of the final form of this work. |
| The authors are grateful to the anonymous referee, whose constructive comments helped to improve the final version of this work. Enide Andrade was supported in part by the Portuguese Foundation for Science and Technology (FCT-Fundação para a Ciência e a Tecnologia), through CIDMA - Center for Research and Development in Mathematics and Applications, within project UID/MAT/04106/2019 . Exequiel Mallea-Zepeda was supported by Proyecto UTA-Mayor, 4740-18 , Universidad de Tarapacá , Chile. M. Robbiano was partially supported by project VRIDT UCN 20180504001 . E. Lenes, E. Mallea-Zepeda and J. Rodríguez also express their gratitude to professor Ricardo Reyes for his careful reading and suggestions of the final form of this work. |
