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Multiplicative versions of Zagreb indices under subdivision operators. (English) Zbl 1347.05036

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.

MSC:

05C07 Vertex degrees
05C90 Applications of graph theory
92E10 Molecular structure (graph-theoretic methods, methods of differential topology, etc.)
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