Zagreb indices of a new sum of graphs

The first and second Zagreb indices, since its inception have been subjected to extensive research in the physio-chemical analysis of compounds. In [5], Hanyuan Deng et al. computed the first and second Zagreb indices of four new operations on a graph defined by M. Eliasi, B. Taeri [6]. Motivated by [6], in this paper we define a new operation on graphs and compute the first and second Zagreb indices of the resultant graph. We illustrate the results with some examples.