Topologies induced by graph metrics on the vertex set of graphs

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dc.contributor.authorLalithambigai, K.
dc.contributor.authorGnanachandra, Paulraj
dc.contributor.authorJafari, Saeid
dc.coverage.issue1cs
dc.coverage.volume12cs
dc.date.accessioned2023-06-26T09:02:09Z
dc.date.available2023-06-26T09:02:09Z
dc.date.issued2023cs
dc.description.abstractThis paper presents a method of constructing topologies on the vertex set of a graph G induced by open balls with respect to the graph metric viz. geodesic distance, detour distance, circular distance and circular D-distance on the vertex set of G. Also, this paper explores the topologies induced by eccentric neighbourhoods of vertices of a graph and presents the nature of topologies generated by various graph metrics on the vertex set of some standard graphs.en
dc.formattextcs
dc.format.extent73-88cs
dc.format.mimetypeapplication/pdfen
dc.identifier.citationMathematics for Applications. 2023 vol. 12, č. 1, s. 73-88. ISSN 1805-3629cs
dc.identifier.doi10.13164/ma.2023.05en
dc.identifier.issn1805-3629
dc.identifier.urihttp://hdl.handle.net/11012/210634
dc.language.isoencs
dc.publisherVysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematikycs
dc.relation.ispartofMathematics for Applicationsen
dc.relation.urihttp://ma.fme.vutbr.cz/archiv/12_1/ma_12_1_gnanachandra_et_al_final.pdfcs
dc.rights© Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematikycs
dc.rights.accessopenAccessen
dc.subjectdistance between verticesen
dc.subjecteccentricity of a vertexen
dc.subjectradius of a graphen
dc.subjecttopologyen
dc.subjectsubbasisen
dc.titleTopologies induced by graph metrics on the vertex set of graphsen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
eprints.affiliatedInstitution.departmentÚstav matematikycs
eprints.affiliatedInstitution.facultyFakulta strojního inženýrstvícs
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