Bounds on General Randić Index for F-Sum Graphs
Joint Authors
Liu, Jia-Bao
Javaid, Muhammad
Li, Xu
Ahmad, Maqsood
Saeed, Muhammad
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-30
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
A topological invariant is a numerical parameter associated with molecular graph and plays an imperative role in the study and analysis of quantitative structure activity/property relationships (QSAR/QSPR).
The correlation between the entire π-electron energy and the structure of a molecular graph was explored and understood by the first Zagreb index.
Recently, Liu et al.
(2019) calculated the first general Zagreb index of the F-sum graphs.
In the same paper, they also proposed the open problem to compute the general Randić index RαΓ=∑uv∈EΓdΓu×dΓvα of the F-sum graphs, where α∈R and dΓu denote the valency of the vertex u in the molecular graph Γ.
Aim of this paper is to compute the lower and upper bounds of the general Randić index for the F-sum graphs when α∈N.
We present numerous examples to support and check the reliability as well as validity of our bounds.
Furthermore, the results acquired are the generalization of the results offered by Deng et al.
(2016), who studied the general Randić index for exactly α=1.
American Psychological Association (APA)
Li, Xu& Ahmad, Maqsood& Javaid, Muhammad& Saeed, Muhammad& Liu, Jia-Bao. 2020. Bounds on General Randić Index for F-Sum Graphs. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-17.
https://search.emarefa.net/detail/BIM-1188271
Modern Language Association (MLA)
Li, Xu…[et al.]. Bounds on General Randić Index for F-Sum Graphs. Journal of Mathematics No. 2020 (2020), pp.1-17.
https://search.emarefa.net/detail/BIM-1188271
American Medical Association (AMA)
Li, Xu& Ahmad, Maqsood& Javaid, Muhammad& Saeed, Muhammad& Liu, Jia-Bao. Bounds on General Randić Index for F-Sum Graphs. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-17.
https://search.emarefa.net/detail/BIM-1188271
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188271