Further study on the second status connectivity index of graphs

The second status connectivity index (SSC index, for short) of a simple connected graph [Formula: see text] is defined as the sum of the terms [Formula: see text] over all edges ab of [Formula: see text], where [Formula: see text], the status of a vertex a in [Formula: see text], is the sum of the d...

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Bibliographic Details
Main Authors: Mahdieh Azari, Jia-Bao Liu
Format: Article
Language:English
Published: Taylor & Francis Group 2025-05-01
Series:AKCE International Journal of Graphs and Combinatorics
Subjects:
Online Access:https://www.tandfonline.com/doi/10.1080/09728600.2024.2432604
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Summary:The second status connectivity index (SSC index, for short) of a simple connected graph [Formula: see text] is defined as the sum of the terms [Formula: see text] over all edges ab of [Formula: see text], where [Formula: see text], the status of a vertex a in [Formula: see text], is the sum of the distances between a and all other vertices of [Formula: see text]. The aim of the paper is to study the SSC index through investigating its behavior under various families of composite graphs and a number of mathematico-chemically interesting graphs derived from them.
ISSN:0972-8600
2543-3474