Azari, Mahdieh; Iranmanesh, Ali Multiplicative versions of Zagreb indices under subdivision operators. (English) Zbl 1347.05036 Bull. Georgian Natl. Acad. Sci. (N.S.) 10, No. 2, 14-23 (2016). Summary: In this paper, we compare the multiplicative versions of Zagreb indices under the subdivision operators \(L\), \(S\), \(R\), \(Q\) and \(T\). Results are applied to obtain several interesting inequalities for the multiplicative Zagreb indices and multiplicative-sum Zagreb index of these operators in terms of the order, size, first Zagreb index, first and second multiplicative Zagreb indices and multiplicative-sum Zagreb index of the primary graph. Cited in 1 Document MSC: 05C07 Vertex degrees 05C90 Applications of graph theory 92E10 Molecular structure (graph-theoretic methods, methods of differential topology, etc.) Keywords:degree; lower bound; upper bound; multiplicative Zagreb indices; multiplicative-sum Zagreb index; subdivision operators PDFBibTeX XMLCite \textit{M. Azari} and \textit{A. Iranmanesh}, Bull. Georgian Natl. Acad. Sci. (N.S.) 10, No. 2, 14--23 (2016; Zbl 1347.05036) Full Text: Link