Das, Kinkar C.Çevik, Ahmet Sinan2022-03-282022-03-282013Das, K. C. vd. (2013). "The multiplicative Zagreb indices of graph operations". Journal of Inequalities and Applications, 2013(90), 1-14.1029-242Xhttps://doi.org/10.1186/1029-242X-2013-90https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/1029-242X-2013-90http://hdl.handle.net/11452/25394Recently, 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.eninfo:eu-repo/semantics/openAccessMathematicsGraphMultiplicative Zagreb indexGraph operationsTrees1stArticle0003183047000012-s2.0-84894271644114201390Mathematics, appliedMathematicsGraph; Unicyclic Graph; Vertex Degree