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A novel graph invariant: The third leap Zagreb index under several graph operations by Maji, Durbar; Ghorai, Ganesh is a scholarly article available to read on EtoBox.

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The third leap Zagreb index of a graph [Formula: see text] is denoted as [Formula: see text] and is defined as [Formula: see text], where [Formula: see text] and [Formula: see text] are the 2-distance degree and the degree of the vertex [Formula: see text] in [Formula: see text], respectively. The first, second and third leap Zagreb indices were introduced by Naji et al. [A. M. Naji, N. D. Soner and I. Gutman, On leap Zagreb indices of graphs, Commun. Combin. Optim. 2(2) (2017) 99–117] in 2017. In this paper, the behavior of the third leap Zagreb index under several graph operations like the Cartesian product, Corona product, neighborhood Corona product, lexicographic product, strong product, tensor product, symmetric difference and disjunction of two graphs is studied.

Author

Maji, Durbar; Ghorai, Ganesh

Publisher

World Scientific ; World Scientific Publishing Co. Pte Ltd; World Scientific Pub Co Pte Lt (ISSN 1793-8309)

Published

2019

Language

EN