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.

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dc.creator	Dratman, Ezequiel
dc.creator	Grippo, Luciano Norberto
dc.creator	Safe, Martín D.
dc.creator	Silva Jr., Celso M. da
dc.creator	Del Vecchio, Renata R.
dc.date.accessioned	2024-07-16T17:07:06Z
dc.date.available	2024-07-16T17:07:06Z
dc.date.issued	2021
dc.identifier.citation	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
dc.identifier.issn	0024-3795
dc.identifier.uri	http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/1583
dc.description	Fil: Grippo, Luciano Norberto. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.
dc.description	Fil: Grippo, Luciano Norberto. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.
dc.description	Fil: Dratman, Ezequiel. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.
dc.description	Fil: Dratman, Ezequiel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.
dc.description	Fil: Safe, Martin Dario. Universidad Nacional del Sur. Departamento de Matemática; Argentina.
dc.description	Fil: da Silva, Celso M.. Centro Federal de Educação Tecnológica; Brasil.
dc.description	Fil: Del Vecchio, Renata R.. Universidade Federal Fluminense; Brasil.
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	eng
dc.publisher	Elsevier Science BV
dc.relation	http://dx.doi.org/10.1016/j.laa.2020.11.008
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.source	Linear Algebra and its Applications. 1-4-2021; 614: 437-454
dc.source.uri	https://linkinghub.elsevier.com/retrieve/pii/S0024379520305334
dc.subject	Bicyclic graphs
dc.subject	Determinant
dc.subject	Distance Matrix
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