On Bond Incident Degree Indices of Chemical Graphs

Abeer M. Albalahi, Akbar Ali (), Zhibin Du, Akhlaq Ahmad Bhatti, Tariq Alraqad, Naveed Iqbal and Amjad E. Hamza
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Abeer M. Albalahi: Department of Mathematics, College of Science, University of Ha’il, Ha’il P.O. Box 2440, Saudi Arabia
Akbar Ali: Department of Mathematics, College of Science, University of Ha’il, Ha’il P.O. Box 2440, Saudi Arabia
Zhibin Du: School of Software, South China Normal University, Foshan 528225, China
Akhlaq Ahmad Bhatti: Department of Sciences and Humanities, National University of Computer and Emerging Sciences, Lahore Campus, B-Block, Faisal Town, Lahore 54770, Pakistan
Tariq Alraqad: Department of Mathematics, College of Science, University of Ha’il, Ha’il P.O. Box 2440, Saudi Arabia
Naveed Iqbal: Department of Mathematics, College of Science, University of Ha’il, Ha’il P.O. Box 2440, Saudi Arabia
Amjad E. Hamza: Department of Mathematics, College of Science, University of Ha’il, Ha’il P.O. Box 2440, Saudi Arabia

Mathematics, 2022, vol. 11, issue 1, 1-13

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 ( d G ( u ) , d G ( v ) ) from all edges u v of G , where d G ( 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.

Keywords: molecular descriptors; topological indices; bond incident degree indices; extremal problem; chemical graph theory (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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