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A topological index is a numerical representation of a chemical structure which correlates certain physico-chemical characteristic of chemical compounds besides its numerical values. Zagreb index is the first degree based topological index which is proposed by Gutman et al.[2]in 1972. In this paper, we obtain the exact formulae for the Zagreb indices of new types and its coindices of two new types of graph operation based on indhu-bala product which is defined by Indulal and Balakrishnan [4] in 2016.

Zagreb Indices of Vertex Based on IB Product