Affiliation:
1. Department of Mathematics, College of Science, University of Ha’il, Ha’il P.O. Box 2240, Saudi Arabia
2. Faculty of Electronic Engineering, University of Niš, 18000 Niš, Serbia
Abstract
This paper is concerned with the general atom-bond sum-connectivity index ABSγ, which is a generalization of the recently proposed atom-bond sum-connectivity index, where γ is any real number. For a connected graph G with more than two vertices, the number ABSγ(G) is defined as the sum of (1−2(dx+dy)−1)γ over all edges xy of the graph G, where dx and dy represent the degrees of the vertices x and y of G, respectively. For −10≤γ≤10, the significance of ABSγ is examined on the data set of twenty-five benzenoid hydrocarbons for predicting their enthalpy of formation. It is found that the predictive ability of the index ABSγ for the selected property of the considered hydrocarbons is comparable to other existing general indices of this type. The effect of the addition of an edge between two non-adjacent vertices of a graph under ABSγ is also investigated. Furthermore, several extremal results regarding trees, general graphs, and triangle-free graphs of a given number of vertices are proved.
Funder
Deputy for Research & Innovation, Ministry of Education through Initiative of Institutional Funding at University of Ha’il – Saudi Arabia
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference24 articles.
1. Gross, J.L., and Yellen, J. (2005). Graph Theory and Its Applications, CRC. [2nd ed.].
2. Bondy, J.A., and Murty, U.S.R. (2008). Graph Theory, Springer.
3. Wagner, S., and Wang, H. (2018). Introduction to Chemical Graph Theory, CRC.
4. On characterization of molecular branching;J. Am. Chem. Soc.,1975
5. Degree-based topological indices;Gutman;Croat. Chem. Acta,2013
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