Geodesic
Zagreb indices of a new sum of graphs
Ural mathematical journal, Tome 9 (2023) no. 1, pp. 4-17

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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. 
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     title = {Zagreb indices of   a new  sum  of graphs},
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     url = {http://geodesic.mathdoc.fr/item/UMJ_2023_9_1_a0/}
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Liju Alex; Indulal Gopalapillai. Zagreb indices of   a new  sum  of graphs. Ural mathematical journal, Tome 9 (2023) no. 1, pp. 4-17. http://geodesic.mathdoc.fr/item/UMJ_2023_9_1_a0/