The graph based on Grobner-Shirshov bases of groups
dc.contributor.author | Karpuz, Eylem Güzel | |
dc.contributor.author | Ateş, Fırat | |
dc.contributor.author | Çevik, Ahmet Sinan | |
dc.contributor.buuauthor | Cangül, İsmail Naci | |
dc.contributor.department | Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Anabilim Dalı. | tr_TR |
dc.contributor.orcid | 0000-0002-0700-5774 | tr_TR |
dc.contributor.orcid | 0000-0002-0700-5774 | tr_TR |
dc.contributor.researcherid | J-3505-2017 | tr_TR |
dc.contributor.researcherid | ABA-6206-2020 | tr_TR |
dc.contributor.scopusid | 57189022403 | tr_TR |
dc.date.accessioned | 2023-06-23T10:21:25Z | |
dc.date.available | 2023-06-23T10:21:25Z | |
dc.date.issued | 2013-03-26 | |
dc.description.abstract | Let 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.sponsorship | Research Project Offices (BAP) of their universities in Turkey | en_US |
dc.identifier.citation | Karpuz, E. G. vd. (2013). “The graph based on Grobner-Shirshov bases of groups”. Fixed Point Theory and Applications, 2013. | en_US |
dc.identifier.issn | 1687-1812 | |
dc.identifier.scopus | 2-s2.0-84877081840 | tr_TR |
dc.identifier.uri | https://doi.org/10.1186/1687-1812-2013-71 | |
dc.identifier.uri | https://fixedpointtheoryandalgorithms.springeropen.com/articles/10.1186/1687-1812-2013-71 | |
dc.identifier.uri | http://hdl.handle.net/11452/33147 | |
dc.identifier.volume | 2013 | tr_TR |
dc.identifier.wos | 000326449400001 | tr_TR |
dc.indexed.scopus | Scopus | en_US |
dc.indexed.wos | SCIE | en_US |
dc.language.iso | en | en_US |
dc.publisher | Springer | en_US |
dc.relation.collaboration | Yurt içi | tr_TR |
dc.relation.journal | Fixed Point Theory and Applications | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi | tr_TR |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Graphs | en_US |
dc.subject | Grobner-Shirshov bases | en_US |
dc.subject | Group presentation | en_US |
dc.subject | Zero-divisor graph | en_US |
dc.subject | Inverse-semigroups | en_US |
dc.subject | Cayley-graphs | en_US |
dc.subject | Braid group | en_US |
dc.subject | Ring | en_US |
dc.subject | Extensions | en_US |
dc.subject | Generators | en_US |
dc.subject | Mathematics | en_US |
dc.subject.scopus | Free Associative Algebras; Mathematics; Irreducible Module | en_US |
dc.subject.wos | Mathematics, applied | en_US |
dc.subject.wos | Mathematics | en_US |
dc.title | The graph based on Grobner-Shirshov bases of groups | en_US |
dc.type | Article |