Liju Alex, Indulal Gopalapillai, “Zagreb indices of a new sum of graphs”, Ural Math. J., 2023, Volume 9, Issue 1,Pages <nobr>4

Zagreb indices of a new sum of graphs

Liju Alex^ab, Indulal Gopalapillai^c

^a Department of Mathematics, Bishop Chulaprambil Memorial College(B.C.M), Kottayam - 686001, India
^b Marthoma College, Thiruvalla, Pathanamthitta - 689103, India
^c Department of Mathematics, St.Aloysius College, Edathua, Alappuzha - 689573, India

Abstract: 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.

Keywords: first Zagreb index $M_1(G)$, second Zagreb index $M_2(G)$, $F^*$ sum.

Language: English

DOI: 10.15826/umj.2023.1.001