The determinant of the distance matrix of graphs with blocks at most bicyclic

Fil: Grippo, Luciano Norberto. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.

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Autores principales: Dratman, Ezequiel, Grippo, Luciano Norberto, Safe, Martín D., Silva Jr., Celso M. da, Del Vecchio, Renata R.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: Elsevier Science BV 2024
Materias:
Bicyclic graphs
Determinant
Distance Matrix
Acceso en línea:http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/1583
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Repositorio Institucional Digital de Acceso Abierto (UNGS) de Universidad Nacional de General Sarmiento
id I71-R177-UNGS-1583
record_format dspace
spelling I71-R177-UNGS-15832024-07-23T17:17:41Z The determinant of the distance matrix of graphs with blocks at most bicyclic Dratman, Ezequiel Grippo, Luciano Norberto Safe, Martín D. Silva Jr., Celso M. da Del Vecchio, Renata R. Bicyclic graphs Determinant Distance Matrix Fil: Grippo, Luciano Norberto. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. Fil: Grippo, Luciano Norberto. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Fil: Dratman, Ezequiel. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. Fil: Dratman, Ezequiel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Fil: Safe, Martin Dario. Universidad Nacional del Sur. Departamento de Matemática; Argentina. Fil: da Silva, Celso M.. Centro Federal de Educação Tecnológica; Brasil. Fil: Del Vecchio, Renata R.. Universidade Federal Fluminense; Brasil. Let G be a connected graph on n vertices and D(G) be its distance matrix. The formula for computing the determinant of this matrix in terms of the number of vertices is known when the graph is either a tree or a unicyclic graph. In this work we generalize these results, obtaining the determinant of the distance matrix of any graph whose block decomposition consists of edges, unicyclic and bicyclic graphs. 2024-07-16T17:07:06Z 2024-07-16T17:07:06Z 2021 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion Grippo, L. N. et al. (1-4-2021). The determinant of the distance matrix of graphs with blocks at most bicyclic. Linear Algebra and its Applications, 614, 437-454 0024-3795 http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/1583 eng http://dx.doi.org/10.1016/j.laa.2020.11.008 info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf Elsevier Science BV Linear Algebra and its Applications. 1-4-2021; 614: 437-454 https://linkinghub.elsevier.com/retrieve/pii/S0024379520305334
institution Universidad Nacional de General Sarmiento
institution_str I-71
repository_str R-177
collection Repositorio Institucional Digital de Acceso Abierto (UNGS)
language Inglés
orig_language_str_mv eng
topic Bicyclic graphs
Determinant
Distance Matrix
spellingShingle Bicyclic graphs
Determinant
Distance Matrix
Dratman, Ezequiel
Grippo, Luciano Norberto
Safe, Martín D.
Silva Jr., Celso M. da
Del Vecchio, Renata R.
The determinant of the distance matrix of graphs with blocks at most bicyclic
topic_facet Bicyclic graphs
Determinant
Distance Matrix
description Fil: Grippo, Luciano Norberto. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.
format Artículo
Artículo
publishedVersion
author Dratman, Ezequiel
Grippo, Luciano Norberto
Safe, Martín D.
Silva Jr., Celso M. da
Del Vecchio, Renata R.
author_facet Dratman, Ezequiel
Grippo, Luciano Norberto
Safe, Martín D.
Silva Jr., Celso M. da
Del Vecchio, Renata R.
author_sort Dratman, Ezequiel
title The determinant of the distance matrix of graphs with blocks at most bicyclic
title_short The determinant of the distance matrix of graphs with blocks at most bicyclic
title_full The determinant of the distance matrix of graphs with blocks at most bicyclic
title_fullStr The determinant of the distance matrix of graphs with blocks at most bicyclic
title_full_unstemmed The determinant of the distance matrix of graphs with blocks at most bicyclic
title_sort determinant of the distance matrix of graphs with blocks at most bicyclic
publisher Elsevier Science BV
publishDate 2024
url http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/1583
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