Results 251 to 260 of about 4,883,559 (264)

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, M, Suresh, Mondal, Sourav   +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., SOHRABI-HAGHIGHAT, M., GHORBANI, M.   +2 more
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On generalized atom-bond connectivity index of cacti

2019
Summary: 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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Bounds for the Atom-Bond Sum-Connectivity Index of Graphs

Match Communications in Mathematical and in Computer Chemistry
Summary: The \textit{atom-bond sum-connectivity} \((ABSC)\) index of a graph \(G\) is defined as \(ABSC(G)=\sum\limits_{uv\in E(G)}\sqrt\frac{d_u +d_v -2}{d_u +d_v}\), where \(d_u\) and \(d_v\) represent the degrees of \(u\) and \(v\) in \(G\), respectively.
Hussain, Zaryab, Liu, Hechao, Hua, Hongbo   +2 more
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Remarks on atom bond connectivity index

2012
A 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 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., Villarta, Cerina A., Mohammad, Nurijam Hanna M., Fabillar, Edwin B.   +3 more
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Atom-Bond Connectivity Index

2020
Mahdieh Azari, Ali Iranmanesh
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Extremal values of the atom-bond sum-connectivity index in bicyclic graphs

Journal of Applied Mathematics and Computing, 2023
Suresh Elumalai, Sourav Mondal, Selvaraj Balachandran   +2 more
exaly  

ON ATOM-BOND CONNECTIVITY STATUS INDEX OF GRAPHS

Advances in Mathematics: Scientific Journal, 2020
D. S. Revankar, P. S. Hande, S. P. Hande
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On the Edges Version of Atom-Bond Connectivity Index of Nanotubes

Journal of Computational and Theoretical Nanoscience, 2016
Muhammad Imran, Wei Gao, Mohammad Reza Farahani   +2 more
exaly