On Bond Incident Degree Indices of Chemical Graphs

Author:

Albalahi Abeer M.ORCID,Ali AkbarORCID,Du ZhibinORCID,Bhatti Akhlaq Ahmad,Alraqad Tariq,Iqbal NaveedORCID,Hamza Amjad E.

Abstract

By swapping out atoms for vertices and bonds for edges, a graph may be used to model any molecular structure. A graph G is considered to be a chemical graph in graph theory if no vertex of G has a degree of 5 or greater. The bond incident degree (BID) index for a chemical graph G is defined as the total of contributions f(dG(u),dG(v)) from all edges uv of G, where dG(w) stands for the degree of a vertex w of G, E(G) is the set of edges of G, and f is a real-valued symmetric function. This paper addresses the problem of finding graphs with extremum BID indices over the class of all chemical graphs of a fixed number of edges and vertices.

Funder

University of Ha’il-Saudi Arabia

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On bond incident degree index of chemical trees with a fixed order and a fixed number of leaves;Applied Mathematics and Computation;2024-03

2. Symmetric Division Deg Index: Extremal Results and Bounds;Match Communications in Mathematical and in Computer Chemistry;2023-04

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