Results 231 to 240 of about 11,862 (249)

Extremal Results and Bounds for Atom-Bond Sum-Connectivity Index

Match Communications in Mathematical and in Computer Chemistry
The 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, Ivan Gutman, Boris Furtula, Izudin Redžepović, Tomislav Došlić, Zahid Raza   +5 more
openaire   +1 more source

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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Maximum Atom Bond Sum Connectivity Index of Molecular Trees with a Perfect Matching

Match Communications in Mathematical and in Computer Chemistry
Summary: \textit{A. Ali} et al. [J. Math. Chem. 60, No. 10, 2081--2093 (2022; Zbl 1498.05065)] introduced a new type of vertex-degree-based topological indices of a graph which is called as atom-bond sum-connectivity (ABS) index. For a graph \(G=(V(G), E(G))\), the ABS index of \(G\) is defined as \[ ABS(G) = \sum_{uv\in E(G)}\sqrt{1 - \frac{2}{d_G(u) +
Wang, Fangxia, Zhang, Yaoyao, Ren, Xiangyu, Zhang, Bo   +3 more
openaire   +2 more sources

Maximum Atom-Bond Sum-Connectivity Index in Unicyclic Graphs of Fixed Girth

Match Communications in Mathematical and in Computer Chemistry
Summary: The \(ABS\) (atom-bond sum-connectivity) index of a graph \(G\) is given by the formula: \[ ABS(G) = \sum\limits_{xy\in E(G)} \sqrt{\dfrac{d_x+d_y -2}{d_x +d_y}}, \] where \(d_x\) denotes the degree of vertex \(x\) in the graph \(G\). The primary objective of this research paper is to identify the maximum, and second-maximum \(ABS\) index ...
Nithya, Palaniyappan, Elumalai, Suresh, Balachandran, Selvaraj, Liu, Hechao   +3 more
openaire   +1 more source

On difference between atom-bond sum-connectivity index and Randić index of graphs

Journal of Applied Mathematics and Computing
Kannan Aarthi, Suresh Elumalai, Selvaraj Balachandran, Sourav Mondal   +3 more
openaire   +2 more sources

Atom–bond connectivity index of trees

Discrete Applied Mathematics, 2009
Boris Furtula, Damir Vukicevic
exaly  

The maximum atom-bond connectivity index for graphs with edge-connectivity one

Discrete Applied Mathematics, 2017
Qing Cui, Lingping Zhong
exaly  

The Cartesian Product and Join Graphs on Edge-Version Atom-Bond Connectivity and Geometric Arithmetic Indices

Molecules, 2018
Xiujun Zhang, Huiqin Jiang, Jia-Bao Liu
exaly  

On relations between atom-bond sum-connectivity index and other degree-based indices

Swathi, Shetty, Sayinath Udupa, ‎N‎. ‎V‎. ‎, ‎Rakshith, ‎B‎. ‎R‎., Anusha, Laxmana   +3 more
openaire   +1 more source

Further results on atom-bond connectivity index of trees

Discrete Applied Mathematics, 2010
Bo Zhou, Zhibin Du
exaly