On exponential geometric-arithmetic index of graphs

Das, Kinkar Chandra; Mondal, Sourav

doi:10.1007/s10910-023-01542-z

Cited by 6 publications

(3 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In QSPR analysis, topological indices are used as independent variables to correlate with the property or activity of interest. For some recent works on this direction, readers are referred to [10,11,18]. The present section is directed towards investigating the role of ABS − R in structure-property modelling.…”

Section: Chemical Significancementioning

confidence: 99%

On the difference between atom-bond sum-connectivity index and Randić index of binary trees and chemical trees

Kannan,

Elumalai,

Mondal

et al. 2024

Preprint

View full text Add to dashboard Cite

Topological indices are numerical graph invariants generated from molecular graphs of chemicals to explain their structural properties. The atom-bond sum-connectivity (ABS) index and Randić (R) index are among the widespread graph invariants. The central theme of this work is the difference between these two indices, which is formulated for a graph G as ABS(G)-R(G)=\sum\limits_{fg\in E(G)} \dfrac{1}{\sqrt{d_fd_g(d_f+d_g)}} \left(\sqrt{d_fd_g(d_f+d_g-2)}-\sqrt{d_f+d_g}\right), where df stands for the degree of the vertex f in graph G. The primary objective of the article is to identify extremals over the set of all binary trees and chemical trees for ABS(G)-R(G). Furthermore, we aim to examine the significance of ABS(G)-R(G) in the structure-property modelling of molecules.

show abstract

Section: Chemical Significancementioning

confidence: 99%

On the difference between atom-bond sum-connectivity index and Randić index of binary trees and chemical trees

Kannan,

Elumalai,

Mondal

et al. 2024

Preprint

View full text Add to dashboard Cite

show abstract

“…A lot of research has been done on both indices. The AG index was investigated for example in [10], [11] and [13], and the GA index in [3], [6], [12] and [15]. Chemical applications of the GA index were studied for instance in [1], [17] and [19], and many interesting results can be found in the survey paper [8].…”

Section: Introductionmentioning

confidence: 99%

Relations Between Arithmetic-Geometric Index And Geometric-Arithmetic Index

DAS,

VETRIK,

YONG-CHEOL

2024

View full text Add to dashboard Cite

The arithmetic-geometric index AG(G) and the geometric-arithmetic index GA(G) of a graph G are defined as AG(G) = P uv∈E(G) dG(u)+dG(v) 2 √ dG(u)dG(v) and GA(G) = P uv∈E(G) 2 √ dG(u)dG(v) dG(u)+dG(v) , where E(G) is the edge set of G, and dG(u) and dG(v) are the degrees of vertices u and v, respectively. We study relations between AG(G) and GA(G) for graphs G of given size, minimum degree and maximum degree. We present lower and upper bounds on AG(G) + GA(G), AG(G) − GA(G) and AG(G) · GA(G). All the bounds are sharp.

show abstract

“…For the recent research about the exponential bond incident degree indices, one can see [5,9,13,21,26].…”

Section: Introduction 1backgroundmentioning

confidence: 99%

Unified Extremal Results for (Exponential) Bond Incident Degree Indices of Trees

Liu,

You,

Chen

et al. 2024

MATCH

View full text Add to dashboard Cite

show abstract

On exponential geometric-arithmetic index of graphs

Cited by 6 publications

References 26 publications

On the difference between atom-bond sum-connectivity index and Randić index of binary trees and chemical trees

On the difference between atom-bond sum-connectivity index and Randić index of binary trees and chemical trees

Relations Between Arithmetic-Geometric Index And Geometric-Arithmetic Index

Unified Extremal Results for (Exponential) Bond Incident Degree Indices of Trees

Contact Info

Product

Resources

About