Zagreb Polynomials, Co-Polynomials of Double and Strong Double Graphs

N. K. Raut

Abstract: First Zagreb polynomial of a graph G with vertex set V(G) and edge set E(G) is defined and the first Zagreb index can be obtained from it. In this paper Zagreb polynomials, co-polynomials and corresponding Zagreb indices, co-indices are obtained for path, cycle, double and strong double graphs.

Keywords: Cycle graph, double graph, path graph, strong double graph, Zagreb co-polynomial, Zagreb index, Zagreb polynomial