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Zagreb polynomials of three graph operators. (English) Zbl 1462.05186

Summary: 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.

MSC:

05C31 Graph polynomials
05C12 Distance in graphs
05C76 Graph operations (line graphs, products, etc.)
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