Leap Eccentric Connectivity Index of Subdivision Graphs

Ghalavand, Ali and Pawar, Shiladhar and Soner, Nandappa D. (2022) Leap Eccentric Connectivity Index of Subdivision Graphs. Journal of Mathematics, 2022. ISSN 2314-4785

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Official URL: https://doi.org/10.1155/2022/7880336

Abstract

The second degree of a vertex in a simple graph is defined as the number of its second neighbors. The leap eccentric connectivity index of a graph M, L xi(c)(M), is the sum of the product of the second degree and the eccentricity of every vertex in M. In this paper, some lower and upper bounds of L xi(c)(S(M)) in terms of the numbers of vertices and edges, diameter, and the first Zagreb and third leap Zagreb indices are obtained. Also, the exact values of L xi(c)(S(M)) for some well-known graphs are computed.

Item Type: Article
Subjects: E Mathematical Science > Mathematics
Divisions: Department of > Mathematics
Depositing User: C Swapna Library Assistant
Date Deposited: 20 Jul 2023 07:17
Last Modified: 20 Jul 2023 07:17
URI: http://eprints.uni-mysore.ac.in/id/eprint/17660

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