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Atom-Bond Connectivity Index in Various Graphs

ECS Transactions, 2022
A topological index, furthermore identified by way of connective index, is a molecular construction descriptor intended from a molecular graph of a chemical composite, which symbolizes its topology. Different topological indices remain branded established on their degree, spectrum, and distance.
M Abirami, Y.J Ganesh, K Kalaivani
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Atom–bond connectivity index of quasi-tree graphs

Rendiconti del Circolo Matematico di Palermo (1952 -), 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dehghan-Zadeh, T., Ashrafi, A. R.
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Inequalities on the generalized atom bond connectivity index

Journal of Mathematical Chemistry, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ricardo Abreu-Blaya   +3 more
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Comparison between first geometric–arithmetic index and atom-bond connectivity index

Chemical Physics Letters, 2010
The first geometric-arithmetic index (GA) [1] and atom-bond connectivity index (ABC) [2] that are recently introduced, are found to be useful tools in QSPR and QSAR studies. In this letter we compare the GA and ABC indices for chemical trees and molecular graphs. Moreover, we also compare these two indices for general graphs. (C) 2010 Elsevier B.V. All
Das, Kinkar Ch., Trinajstić, Nenad
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On atom-bond connectivity index of graphs

Journal of Mathematical Analysis and Applications, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hongbo Hua   +2 more
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On Second Atom-Bond Connectivity Index

2013
The atom-bond connectivity index of graph is a topological index proposed by Estrada et al. as ABC (G)  uvE (G ) (du dv  2) / dudv , where the summation goes over all edges of G, du and dv are the degrees of the terminal vertices u and v of edge uv.
ROSTAMI, M.   +2 more
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On the Maximum Atom-Bond Sum-Connectivity Index of Trees

MATCH – Communications in Mathematical and in Computer Chemistry, 2023
Topological indices have been under study since 1947 when H. Wiener proposed a mathematical formula to order the boiling temperatures of isomers of alkanes. Since then, over 3000 similar mathematical formulae have been defined and studied by mathematicians, chemists and by other scientists.
Hu, Yarong, Wang, Fangxia
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Atom-Bond Connectivity Index and Arithmetic-Geometric Index: Bounding Relationships

International Journal of Mathematics and Computer Science
In this paper, we establish extremal results and bounds of the atom-bond connectivity index with the arithmetic-geometric index given the minimum and maximum degrees of a graph. We have shown that regular graphs correspond to extremal graphs.
Abdulwahid, Fabricia M.   +3 more
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A Variant of Atom Bond Sum Connectivity Index

Match Communications in Mathematical and in Computer Chemistry
Summary: Topological index is a numerical graph invariant derived from molecular graph. The atom bond sum connectivity index drew a lot of interest from chemical graph theorists in a short period of time. Nowadays, the degree sum of a vertex's first neighbors is recognized as a useful parameter in chemical graph theory. Keeping these two facts in mind,
Yasin H, Mohammed   +2 more
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