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dc.contributor.author
Dratman, Ezequiel  
dc.contributor.author
Grippo, Luciano Norberto  
dc.contributor.author
Safe, Martin Dario  
dc.contributor.author
da Silva, Celso M.  
dc.contributor.author
Del Vecchio, Renata R.  
dc.date.available
2022-03-22T03:19:55Z  
dc.date.issued
2021-04-01  
dc.identifier.citation
Dratman, Ezequiel; Grippo, Luciano Norberto; Safe, Martin Dario; da Silva, Celso M.; Del Vecchio, Renata R.; The determinant of the distance matrix of graphs with blocks at most bicyclic; Elsevier Science Inc.; Linear Algebra and its Applications; 614; 1-4-2021; 437-454  
dc.identifier.issn
0024-3795  
dc.identifier.uri
http://hdl.handle.net/11336/153686  
dc.description.abstract
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.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Elsevier Science Inc.  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
BICYCLIC GRAPHS  
dc.subject
DETERMINANT  
dc.subject
DISTANCE MATRIX  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
The determinant of the distance matrix of graphs with blocks at most bicyclic  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2022-03-14T21:08:08Z  
dc.identifier.eissn
1873-1856  
dc.journal.volume
614  
dc.journal.pagination
437-454  
dc.journal.pais
Estados Unidos  
dc.description.fil
Fil: Dratman, Ezequiel. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.description.fil
Fil: Grippo, Luciano Norberto. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.description.fil
Fil: Safe, Martin Dario. Universidad Nacional del Sur. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina  
dc.description.fil
Fil: da Silva, Celso M.. Centro Federal de Educação Tecnológica; Brasil  
dc.description.fil
Fil: Del Vecchio, Renata R.. Universidade Federal Fluminense; Brasil  
dc.journal.title
Linear Algebra and its Applications  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0024379520305334  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1016/j.laa.2020.11.008  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1912.09604