Some properties on the lexicographic product of graphs obtained by monogenic semigroups
dc.contributor.author | Das, Kinkar Chandra | |
dc.contributor.author | Akgüneş, Nihat | |
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 | 2023-05-12T06:36:35Z | |
dc.date.available | 2023-05-12T06:36:35Z | |
dc.date.issued | 2013 | |
dc.description.abstract | In (Das et al. in J. Inequal. Appl. 2013:44, 2013), a new graph Gamma (S-M) on monogenic semigroups S-M (with zero) having elements {0, x, x(2), x(3),..., x(n)} was 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= n, any two distinct vertices x(i) and x(j) are adjacent if x(i)x(j) = 0 in S-M. As a continuing study, in an unpublished work, some well-known indices (first Zagreb index, second Zagreb index, Randic index, geometric-arithmetic index, atom-bond connectivity index, Wiener index,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) were investigated by the same authors of this paper. In the light of the above references, our main aim in this paper is to extend these studies to the lexicographic product over Gamma (S-M). In detail, we investigate the diameter, radius, girth, maximum and minimum degree, chromatic number, clique number and domination number for the lexicographic product of any two (not necessarily different) graphs Gamma (S-M(1)) and Gamma (S-M(2)). | en_US |
dc.description.sponsorship | Selçuk Üniversitesi | tr_TR |
dc.description.sponsorship | Sungkyunkwan University (BK21) | en_US |
dc.identifier.citation | Akgüneş, N. vd. (2013). “Some properties on the lexicographic product of graphs obtained by monogenic semigroups”. Journal of Inequalities and Applications, 2013. | en_US |
dc.identifier.issn | 1029-242X | |
dc.identifier.scopus | 2-s2.0-84894585022 | tr_TR |
dc.identifier.uri | https://doi.org/10.1186/1029-242X-2013-238 | |
dc.identifier.uri | https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/1029-242X-2013-238 | |
dc.identifier.uri | http://hdl.handle.net/11452/32631 | |
dc.identifier.volume | 2013 | tr_TR |
dc.identifier.wos | 000320668600002 | 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.collaboration | Yurt dışı | tr_TR |
dc.relation.journal | Journal of Inequalities and Applications | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi | tr_TR |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Mathematics | en_US |
dc.subject | Monogenic semigroup | en_US |
dc.subject | Lexicographic product | en_US |
dc.subject | Clique number | en_US |
dc.subject | Chromatic number | en_US |
dc.subject | Independence number | en_US |
dc.subject | Domination number | en_US |
dc.subject | Zero-divisor graph | en_US |
dc.subject | Radius | en_US |
dc.subject | Number | en_US |
dc.subject.scopus | Graph; Commutative Ring; Annihilator | en_US |
dc.subject.wos | Mathematics, applied | en_US |
dc.subject.wos | Mathematics | en_US |
dc.title | Some properties on the lexicographic product of graphs obtained by monogenic semigroups | en_US |
dc.type | Article | |
dc.wos.quartile | Q2 | en_US |