The normalized Laplacian spectrum of subdivisions of a graph

Determining and analyzing the spectra of graphs is an important and exciting research topic in mathematics science and theoretical computer science. The eigenvalues of the normalized Laplacian of a graph provide information on its structural properties and also on some relevant dynamical aspects, in...

ver descrição completa

Detalhes bibliográficos
Autores: Xie, Pinchen, Zhang, Zhongzhi, Comellas Padró, Francesc de Paula|||0000-0003-4523-0240
Formato: artículo
Fecha de publicación:2016
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/104267
Acesso em linha:https://hdl.handle.net/2117/104267
https://dx.doi.org/10.1016/j.amc.2016.04.033
Access Level:acceso abierto
Palavra-chave:Graph theory--Data processing
Normalized Laplacian spectrum
Subdivision graph
Degree-Kirchhoff index
Kemeny’s constant
Spanning trees
Laplace, Transformacions de
Àrees temàtiques de la UPC::Matemàtiques i estadística
id ES_6dfe2ba25c8ba2510590abd6caeca362
oai_identifier_str oai:upcommons.upc.edu:2117/104267
network_acronym_str ES
network_name_str España
repository_id_str
spelling The normalized Laplacian spectrum of subdivisions of a graphXie, PinchenZhang, ZhongzhiComellas Padró, Francesc de Paula|||0000-0003-4523-0240Graph theory--Data processingNormalized Laplacian spectrumSubdivision graphDegree-Kirchhoff indexKemeny’s constantSpanning treesLaplace, Transformacions deÀrees temàtiques de la UPC::Matemàtiques i estadísticaDetermining and analyzing the spectra of graphs is an important and exciting research topic in mathematics science and theoretical computer science. The eigenvalues of the normalized Laplacian of a graph provide information on its structural properties and also on some relevant dynamical aspects, in particular those related to random walks. In this paper, we give the spectra of the normalized Laplacian of iterated subdivisions of simple connected graphs. As an example of application of these results we find the exact values of their multiplicative degree-Kirchhoff index, Kemeny's constant and number of spanning trees.20162016-08-0520172017-05-10journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/104267https://dx.doi.org/10.1016/j.amc.2016.04.033reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/1042672026-05-27T15:37:01Z
dc.title.none.fl_str_mv The normalized Laplacian spectrum of subdivisions of a graph
title The normalized Laplacian spectrum of subdivisions of a graph
spellingShingle The normalized Laplacian spectrum of subdivisions of a graph
Xie, Pinchen
Graph theory--Data processing
Normalized Laplacian spectrum
Subdivision graph
Degree-Kirchhoff index
Kemeny’s constant
Spanning trees
Laplace, Transformacions de
Àrees temàtiques de la UPC::Matemàtiques i estadística
title_short The normalized Laplacian spectrum of subdivisions of a graph
title_full The normalized Laplacian spectrum of subdivisions of a graph
title_fullStr The normalized Laplacian spectrum of subdivisions of a graph
title_full_unstemmed The normalized Laplacian spectrum of subdivisions of a graph
title_sort The normalized Laplacian spectrum of subdivisions of a graph
dc.creator.none.fl_str_mv Xie, Pinchen
Zhang, Zhongzhi
Comellas Padró, Francesc de Paula|||0000-0003-4523-0240
author Xie, Pinchen
author_facet Xie, Pinchen
Zhang, Zhongzhi
Comellas Padró, Francesc de Paula|||0000-0003-4523-0240
author_role author
author2 Zhang, Zhongzhi
Comellas Padró, Francesc de Paula|||0000-0003-4523-0240
author2_role author
author
dc.subject.none.fl_str_mv Graph theory--Data processing
Normalized Laplacian spectrum
Subdivision graph
Degree-Kirchhoff index
Kemeny’s constant
Spanning trees
Laplace, Transformacions de
Àrees temàtiques de la UPC::Matemàtiques i estadística
topic Graph theory--Data processing
Normalized Laplacian spectrum
Subdivision graph
Degree-Kirchhoff index
Kemeny’s constant
Spanning trees
Laplace, Transformacions de
Àrees temàtiques de la UPC::Matemàtiques i estadística
description Determining and analyzing the spectra of graphs is an important and exciting research topic in mathematics science and theoretical computer science. The eigenvalues of the normalized Laplacian of a graph provide information on its structural properties and also on some relevant dynamical aspects, in particular those related to random walks. In this paper, we give the spectra of the normalized Laplacian of iterated subdivisions of simple connected graphs. As an example of application of these results we find the exact values of their multiplicative degree-Kirchhoff index, Kemeny's constant and number of spanning trees.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-08-05
2017
2017-05-10
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/104267
https://dx.doi.org/10.1016/j.amc.2016.04.033
url https://hdl.handle.net/2117/104267
https://dx.doi.org/10.1016/j.amc.2016.04.033
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869410392757764096
score 15.198674

Registos relacionados