On the spectrum of the normalized Laplacian of iterated triangulations of graphs

The eigenvalues of the normalized Laplacian of a graph provide information on its topological and structural characteristics and also on some relevant dynamical aspects, specifically in relation to random walks. In this paper we determine the spectra of the normalized Laplacian of iterated triangula...

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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:2117/81345
Acesso em linha:https://hdl.handle.net/2117/81345
https://dx.doi.org/10.1016/j.amc.2015.09.057
Access Level:acceso abierto
Palavra-chave:Applied mathematics and mathematical computation
Complex networks
Normalized Laplacian spectrum
Graph triangulations
Degree-Kirchhoff index
Kemeny constant
Spanning trees
Matemàtica aplicada
Àrees temàtiques de la UPC::Matemàtiques i estadística
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oai_identifier_str oai:upcommons.upc.edu:2117/81345
network_acronym_str ES
network_name_str España
repository_id_str
spelling On the spectrum of the normalized Laplacian of iterated triangulations of graphsXie, PinchenZhang, ZhongzhiComellas Padró, Francesc de Paula|||0000-0003-4523-0240Applied mathematics and mathematical computationComplex networksNormalized Laplacian spectrumGraph triangulationsDegree-Kirchhoff indexKemeny constantSpanning treesMatemàtica aplicadaÀrees temàtiques de la UPC::Matemàtiques i estadísticaThe eigenvalues of the normalized Laplacian of a graph provide information on its topological and structural characteristics and also on some relevant dynamical aspects, specifically in relation to random walks. In this paper we determine the spectra of the normalized Laplacian of iterated triangulations of a generic simple connected graph. As an application, we also find closed-forms for their multiplicative degree-Kirchhoff index, Kemeny's constant and number of spanning trees.20162016-01-1520162016-01-13journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/81345https://dx.doi.org/10.1016/j.amc.2015.09.057reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2http://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/813452026-05-27T15:37:01Z
dc.title.none.fl_str_mv On the spectrum of the normalized Laplacian of iterated triangulations of graphs
title On the spectrum of the normalized Laplacian of iterated triangulations of graphs
spellingShingle On the spectrum of the normalized Laplacian of iterated triangulations of graphs
Xie, Pinchen
Applied mathematics and mathematical computation
Complex networks
Normalized Laplacian spectrum
Graph triangulations
Degree-Kirchhoff index
Kemeny constant
Spanning trees
Matemàtica aplicada
Àrees temàtiques de la UPC::Matemàtiques i estadística
title_short On the spectrum of the normalized Laplacian of iterated triangulations of graphs
title_full On the spectrum of the normalized Laplacian of iterated triangulations of graphs
title_fullStr On the spectrum of the normalized Laplacian of iterated triangulations of graphs
title_full_unstemmed On the spectrum of the normalized Laplacian of iterated triangulations of graphs
title_sort On the spectrum of the normalized Laplacian of iterated triangulations of graphs
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 Applied mathematics and mathematical computation
Complex networks
Normalized Laplacian spectrum
Graph triangulations
Degree-Kirchhoff index
Kemeny constant
Spanning trees
Matemàtica aplicada
Àrees temàtiques de la UPC::Matemàtiques i estadística
topic Applied mathematics and mathematical computation
Complex networks
Normalized Laplacian spectrum
Graph triangulations
Degree-Kirchhoff index
Kemeny constant
Spanning trees
Matemàtica aplicada
Àrees temàtiques de la UPC::Matemàtiques i estadística
description The eigenvalues of the normalized Laplacian of a graph provide information on its topological and structural characteristics and also on some relevant dynamical aspects, specifically in relation to random walks. In this paper we determine the spectra of the normalized Laplacian of iterated triangulations of a generic simple connected graph. As an application, we also find closed-forms for their multiplicative degree-Kirchhoff index, Kemeny's constant and number of spanning trees.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-01-15
2016
2016-01-13
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/81345
https://dx.doi.org/10.1016/j.amc.2015.09.057
url https://hdl.handle.net/2117/81345
https://dx.doi.org/10.1016/j.amc.2015.09.057
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

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

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
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score 15,300719

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