The graph based on Grobner-Shirshov bases of groups

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dc.authorid0000-0002-7111-3462en_US
dc.contributor.authorKarpuz Güzel, Eylem
dc.contributor.authorAteş, Fırat
dc.contributor.authorÇevik, A. Sinan
dc.contributor.authorCangül, İ. Naci
dc.date.accessioned2019-12-06T21:17:51Z
dc.date.available2019-12-06T21:17:51Z
dc.date.issued2013
dc.departmentKMÜ, Kamil Özdağ Fen Fakültesi, Matematik Bölümüen_US
dc.descriptionWOS:000326449400001en_US
dc.description.abstractLet us consider groups G(1) = Z(k) * (Z(m) * Z(n)), G(2) = Z(k) x (Z(m) * Z(n)), G(3) = Z(k) * (Z(m) x Z(n)), G(4) = (Z(k) * Z(l)) * (Z(m) * Z(n)) and G(5) = (Z(k) * Z(l)) x (Z(m) * Z(n)), where k, l, m, n = 2. In this paper, by defining a new graph Gamma(G(i)) based on the Grobner-Shirshov bases over groups G(i), where 1 <= i <= 5, we calculate the diameter, maximum and minimum degrees, girth, chromatic number, clique number, domination number, degree sequence and irregularity index of Gamma(G(i)). Since graph theoretical studies (including such above graph parameters) consist of some fixed point techniques, they have been applied in such fields as chemistry (in the meaning of atoms, molecules, energy etc.) and engineering (in the meaning of signal processing etc.), game theory and physics. In addition, the Grobner-Shirshov basis and the presentations of algebraic structures contain a mixture of algebra, topology and geometry within the purposes of this journal.en_US
dc.description.sponsorshipResearch Project Offices (BAP) of their universities in Turkeyen_US
dc.description.sponsorshipAll authors are partially supported by Research Project Offices (BAP) of their universities in Turkey.en_US
dc.identifier.citationKarpuz Güzel, E., Ateş, F., Çevik, A. S., Cangül, İ. N. (2013). The graph based on Grobner-Shirshov bases of groups. Fixed Point Theory and Applications volume 2013, Article number: 71 (2013)
dc.identifier.doi10.1186/1687-1812-2013-71
dc.identifier.issn1687-1812
dc.identifier.scopus2-s2.0-84877081840
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://dx.doi.org/10.1186/1687-1812-2013-71
dc.identifier.urihttps://hdl.handle.net/11492/3197
dc.identifier.wosWOS:000326449400001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Sceince
dc.indekslendigikaynakScopus
dc.institutionauthorKarpuz Güzel, Eylem
dc.language.isoen
dc.publisherSpringer International Publishing AGen_US
dc.relation.journalFixed Point Theory And Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectGraphsen_US
dc.subjectGrobner-Shirshov Basesen_US
dc.subjectGroup Presentationen_US
dc.titleThe graph based on Grobner-Shirshov bases of groupsen_US
dc.typeArticle

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