Liju Alex     (Department of Mathematics, Bishop Chulaprambil Memorial College(B.C.M), Kottayam - 686001; Marthoma College, Thiruvalla, Pathanamthitta - 689103, India)
Gopalapillai Indulal     (Department of Mathematics, St.Aloysius College, Edathua, Alappuzha - 689573, India)


The first and second Zagreb indices, since its inception have been subjected to an extensive research in the physio- chemical analysis of compounds. In [6] Hanyuan Deng computed the first and second Zagreb indices of four new operations on a graph defined by M. Eliasi, B. Taeri in [4]. Motivated from this 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.


First Zagreb index \(M_1(G)\), Second Zagreb index \(M_2(G)\), \(F^*\) sum.

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