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ZAGREB INDICES OF A NEW SUM OF GRAPHS

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)

Abstract


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 et.al 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.


Keywords


First Zagreb index M1(G), Second Zagreb index M2(G), F∗ sum.

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References


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DOI: http://dx.doi.org/10.15826/umj.2023.1.001

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