A new graph based on the semi-direct product of some monoids

dc.contributor.authorKarpuz, Eylem Guzel
dc.contributor.authorDas, Kinkar Chandra
dc.contributor.authorCangul, Ismail Naci
dc.contributor.authorCevik, Ahmet Sinan
dc.date.accessioned2020-03-26T18:41:01Z
dc.date.available2020-03-26T18:41:01Z
dc.date.issued2013
dc.departmentSelçuk Üniversitesien_US
dc.description.abstractIn this paper, firstly, we define a new graph based on the semi-direct product of a free abelian monoid of rank n by a finite cyclic monoid, and then discuss some graph properties on this new graph, namely diameter, maximum and minimum degrees, girth, degree sequence and irregularity index, domination number, chromatic number, clique number of Gamma (P-M). Since graph theoretical studies (including such above graph parameters) consist of some fixed point techniques, they have been applied in fields such as chemistry (in the meaning of atoms, molecules, energy etc.) and engineering (in the meaning of signal processing etc.), game theory and physics.en_US
dc.description.sponsorshipResearch Project Offices (BAP) of SelcukSelcuk University [13701071]; UludagUludag University [2012-12, 2012-19]; Faculty Research Fund, Sungkyunkwan University; Sungkyunkwan University BK21 ProjectMinistry of Education & Human Resources Development (MOEHRD), Republic of Korea; BK21 Math Modelling HRD Div. Sungkyunkwan University, Suwon, Republic of Koreaen_US
dc.description.sponsorshipThe third and fourth authors are partially supported by Research Project Offices (BAP) of Selcuk (with Project Number 13701071) and Uludag (with Project Numbers 2012-12 and 2012-19) Universities, respectively. The second author is supported by the Faculty Research Fund, Sungkyunkwan University, 2012 and Sungkyunkwan University BK21 Project, BK21 Math Modelling HRD Div. Sungkyunkwan University, Suwon, Republic of Korea.en_US
dc.identifier.doi10.1186/1029-242X-2013-118en_US
dc.identifier.issn1029-242Xen_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://dx.doi.org/10.1186/1029-242X-2013-118
dc.identifier.urihttps://hdl.handle.net/20.500.12395/29168
dc.identifier.wosWOS:000323567500001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSPRINGER INTERNATIONAL PUBLISHING AGen_US
dc.relation.ispartofJOURNAL OF INEQUALITIES AND APPLICATIONSen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectgraphsen_US
dc.subjectsemi-direct producten_US
dc.subjectmonoid presentationen_US
dc.titleA new graph based on the semi-direct product of some monoidsen_US
dc.typeArticleen_US

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