Zagreb Polynomials of Three Graph Operators

Abstract

In general, the relations among Zagreb polynomials on three graph operators are discussed in this paper. Specifically, relations between Zagreb polynomials of a graph $G$ and a graph obtained by applying the operators $S(G)$, $R(G)$ and $Q(G)$ are investigated. In a separate section, the relation between Zagreb polynomial of a graph $G$ and its corona is also described.