Some properties on the tensor product of graphs obtained by monogenic semigroups

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dc.contributor.authorAkgüneş, Nihat
dc.contributor.authorDas, Kinkar Ch.
dc.contributor.authorÇevik, A. Sinan
dc.date.accessioned2020-03-26T18:58:30Z
dc.date.available2020-03-26T18:58:30Z
dc.date.issued2014
dc.departmentSelçuk Üniversitesien_US
dc.description.abstractIn Das et al. (2013) [8], a new graph 1'(S-M) on monogenic semigroups S-M (with zero) having elements {0, x, x(2), x(3),..., x(n)} has been recently defined. The vertices are the non-zero elements x; x(2); x(3);..., x(n) and, for 1 <= i,j <= n, any two distinct vertices x(i) and x(j) are adjacent if x(i)x(j) = 0 in S-M. As a continuing study, in Akgunes et al. (2014) [3], it has been investigated some well known indices (first Zagreb index, second Zagreb index, Randic index, geometric-arithmetic index, atom-bond connectivity index, Wiener index, Harary index, first and second Zagreb eccentricity indices, eccentric connectivity index, the degree distance) over Gamma(S-M). In the light of above references, our main aim in this paper is to extend these studies over Gamma(S-M) to the tensor product. In detail, we will investigate the diameter, radius, girth, maximum and minimum degree, chromatic number, clique number and domination number for the tensor product of any two (not necessarily different) graphs Gamma(S-M)(1) and Gamma(S-M(2)). (C) 2014 Published by Elsevier Inc.en_US
dc.description.sponsorshipFaculty research Fund, Sungkyunkwan University; Sungkyunkwan University BK21 ProjectMinistry of Education & Human Resources Development (MOEHRD), Republic of Korea; Sungkyunkwan University, Suwon, Republic of Korea; BK21 Math Modelling HRD Diven_US
dc.description.sponsorshipThis 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.doi10.1016/j.amc.2014.03.007en_US
dc.identifier.endpage357en_US
dc.identifier.issn0096-3003en_US
dc.identifier.issn1873-5649en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage352en_US
dc.identifier.urihttps://dx.doi.org/10.1016/j.amc.2014.03.007
dc.identifier.urihttps://hdl.handle.net/20.500.12395/31145
dc.identifier.volume235en_US
dc.identifier.wosWOS:000335898500036en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherELSEVIER SCIENCE INCen_US
dc.relation.ispartofAPPLIED MATHEMATICS AND COMPUTATIONen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectMonogenic semigroupen_US
dc.subjectClique numberen_US
dc.subjectChromatic numberen_US
dc.subjectDomination numberen_US
dc.subjectTensor producten_US
dc.titleSome properties on the tensor product of graphs obtained by monogenic semigroupsen_US
dc.typeArticleen_US

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