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A Note on atom bond connectivity index
2012The atom bond connectivity index of a graph is a new topological index was defined by E. Estrada as ABC(G) uvE (dG(u) dG(v) 2) / dG(u)dG(v) , where G d ( u ) denotes degree of vertex u. In this paper we present some bounds of this new topological index.
HEIDARI RAD, S., KHAKI, A.
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On generalized atom-bond connectivity index of cacti
2019Summary: The generalized atom-bond connectivity index of a graph \(G\) is denoted by ABC\(_a(G)\) and defined as the sum of weights \(\left(\frac{d(u)+d(v)-2}{d(u)d(v)}\right)^\alpha\) over all edges \(uv \in G\), where \(d(u)\) is the degree of the vertex \(u\) in \(G\), and \(\alpha\) is an arbitrary non-zero real number. A cactus is a graph in which
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Remarks on atom bond connectivity index
2012A topological index is a function Top from Σ into real numbers with this property that Top(G) = Top(H), if G and H are isomorphic. Nowadays, many of topological indices were defined for different purposes. In the present paper we present some properties of atom bond connectivity index.
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Atom bond connectivity temperature index of certain nanostructures
2018In the study of QSPR/QSAR, topological indices such as Zagreb index, Randic index, atom-bond connectivity index are exploited to estimate the bioactivity of chemical compounds. Inspired by many degree based topological indices, we propose here a new topological index, called the Atom Bond Connectivity temperature index ABCT(G) of a molecular graph G ...
Kahsay, Afework +2 more
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Extremal Results and Bounds for Atom-Bond Sum-Connectivity Index
Match Communications in Mathematical and in Computer ChemistryThe ABS (atom-bond sum-connectivity) index is a topological index, that was introduced in 2022 by amalgamating the main ideas of two well-examined indices. Mathematical aspects (especially, extremal results and bounds) of the ABS index have already been studied considerably.
Akbar Ali +5 more
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ON ATOM-BOND CONNECTIVITY STATUS INDEX OF GRAPHS
Advances in Mathematics: Scientific Journal, 2020D. S. Revankar, P. S. Hande, S. P. Hande
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Extremal values of the atom-bond sum-connectivity index in bicyclic graphs
Journal of Applied Mathematics and Computing, 2023Suresh E
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On the Edges Version of Atom-Bond Connectivity Index of Nanotubes
Journal of Computational and Theoretical Nanoscience, 2016Wei Gao +2 more
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Further results on atom-bond connectivity index of trees
Discrete Applied Mathematics, 2010Bo Zhou, Zhibin Du
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