Results 251 to 260 of about 4,436,056 (266)

Sum-connectivity Index

2010
In this report, we present a novel variant of the connectivity index that we call the sum-connectivity index. This is the additive version of the connectivity index introduced in 1975 by Milan Randić. Initially the Randić index has been introduced as a structural descriptor called branching index that later became well-known Randić connectivity index ...
Nikolić, Sonja, Lučić, Bono, Trinajstić, Nenad   +2 more
openaire  

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
openaire   +1 more source

On the General Sum–Connectivity Co–Index of Graphs

2011
In this paper, a new molecular-structure descriptor, the general sum–connectivity co–index   is considered, which generalizes the first Zagreb co–index and the general sum– connectivity index of graph theory. We mainly explore the lower and upper bounds in terms of the order and size for this new invariant.
SU, G., XU, L.
openaire   +1 more source

The Sum-Connectivity Index - An Additive Variant of the Randić Connectivity Index

Current computer-aided drug design, 2013
Applications of novel variant of the connectivity index that we call here the sum- connectivity index in structure-property modeling are reviewed. Accordingly, we named here the Randić connectivity index as the product-connectivity index. Correlations from literature that were obtained by one-descriptor models using both variants of connectivity ...
Bešlo, Drago, Skala, Karolj, Sović, Ivan, Lučić, Bono, Nikolić, Sonja, Trinajstić, Nenad, Plavšić, Dejan, Vikić-Topić, Dražen   +7 more
openaire   +1 more source

Maximum Atom Bond Sum Connectivity Index of Cacti

The atom-bond sum-connectivity (ABS) index of a graph is a variant of several well-known chemical topological indices, such as the randi´c index, the sum-connectivity index and the atom-bond connectivity index. For a graph G = (V (G), E(G)), the ABS index of G is defined as&nbsp; <div> &nbsp; &nbsp; &nbsp; &nbsp; &nbsp ...
Fangxia Wang, Chuanyan Hou, Siyi Chen, Fei Guo   +3 more
openaire   +1 more source

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 general sum-connectivity index

Journal of Mathematical Chemistry, 2010
Bo Zhou, Nenad Trinajstić
exaly  

On the general sum-connectivity index of trees with given number of pendent vertices

Discrete Applied Mathematics, 2017
Qing Cui, Lingping Zhong
exaly  

On the sum-connectivity spectral radius and sum-connectivity Estrada index of graphs.

Ars Comb., 2016
Fuqin Zhan, Youfu Qiao
openaire   +1 more source

Relations between the general sum connectivity index and the line graph

Journal of Mathematical Chemistry, 2020
Domingo de Guzman Pestana, José M Sigarreta, W Carballosa   +2 more
exaly