The multiplicative Zagreb indices of graph operations

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dc.contributor.authorDas, Kinkar C.
dc.contributor.authorYurttas, Aysun
dc.contributor.authorTogan, Muge
dc.contributor.authorCevik, Ahmet Sinan
dc.contributor.authorCangul, Ismail Naci
dc.date.accessioned2020-03-26T18:44:06Z
dc.date.available2020-03-26T18:44:06Z
dc.date.issued2013
dc.departmentSelçuk Üniversitesien_US
dc.description.abstractRecently, Todeschini et al. (Novel Molecular Structure Descriptors - Theory and Applications I, pp. 73-100, 2010), Todeschini and Consonni (MATCH Commun. Math. Comput. Chem. 64:359-372, 2010) have proposed the multiplicative variants of ordinary Zagreb indices, which are defined as follows: Pi(1) = Pi(1)(G) = Pi(v is an element of V(G)) d(G)(V)(2), Pi(2) = Pi(2)(G) = Pi(uv is an element of E(G)) d(G)(u)d(G)(V). These two graph invariants are called multiplicative Zagreb indices by Gutman (Bull. Soc. Math. Banja Luka 18:17-23, 2011). In this paper the upper bounds on the multiplicative Zagreb indices of the join, Cartesian product, corona product, composition and disjunction of graphs are derived and the indices are evaluated for some well-known graphs. MSC: 05C05, 05C90, 05C07.en_US
dc.description.sponsorshipResearch Project Offices of UludagUludag University [2012-15, 2012-19]; Selcuk UniversitiesSelcuk University; Sungkyunkwan University BK21 Project, BK21 Math Modeling HRD Div. Sungkyunkwan University, Suwon, Republic of Koreaen_US
dc.description.sponsorshipAll authors except the first one are partially supported by Research Project Offices of Uludag (2012-15 and 2012-19) and Selcuk Universities. K. C. Das thanks for support the Sungkyunkwan University BK21 Project, BK21 Math Modeling HRD Div. Sungkyunkwan University, Suwon, Republic of Korea.en_US
dc.identifier.doi10.1186/1029-242X-2013-90en_US
dc.identifier.issn1029-242Xen_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://dx.doi.org/10.1186/1029-242X-2013-90
dc.identifier.urihttps://hdl.handle.net/20.500.12395/29943
dc.identifier.wosWOS:000318304700001en_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.subjectgraphen_US
dc.subjectmultiplicative Zagreb indexen_US
dc.subjectgraph operationsen_US
dc.titleThe multiplicative Zagreb indices of graph operationsen_US
dc.typeArticleen_US

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