On the Graphs of Minimum Degree At Least 3 Having Minimum Sum-Connectivity Index

Wael W. Mohammed, Shahzad Ahmed, Zahid Raza, Jia-Bao Liu, Farooq Ahmad, Elsayed M. Elsayed and Tomas Vertik

Journal of Mathematics, 2022, vol. 2022, 1-11

Abstract: For a graph G, its sum-connectivity index is denoted by χG and is defined as the sum of the numbers du+dv−1/2 over all edges uv of G, where dw denotes the degree of a vertex w∈VG. In this study, we find a sharp lower bound on the sum-connectivity index of graphs having minimum degree of at least 3 under certain constraints and characterize the corresponding extremal graphs.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:1203303

DOI: 10.1155/2022/1203303

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