Results 11 to 20 of about 217,223 (279)

On the general sum-connectivity index and general Randić index of cacti [PDF]

Journal of Inequalities and Applications, 2016
Let G be a connected graph. The degree of a vertex x of G, denoted by d G ( x ) $d_{G}(x)$ , is the number of edges adjacent to x. The general sum-connectivity index is the sum of the weights ( d G ( x ) + d G ( y ) ) α $(d_{G}(x)+d_{G}(y))^{\alpha}$ for
Shehnaz Akhter, Muhammad Imran, Zahid Raza   +2 more
doaj   +3 more sources

Linear model based on neighborhood ABS index for graph energy in benzenoid hydrocarbons and maximum index cactus graphs [PDF]

Scientific Reports
The atom-bond-sum (ABS) connectivity index, developed by integrating the degree information from the atom-bond and sum connectivity indices, has attracted significant attention for its effectiveness in correlating thermodynamic properties of chemical ...
Zheng-Qing Chu, Mohammed Yasin H, M. Suresh, Micheal Arockiaraj   +3 more
doaj   +2 more sources

Atom-bond sum-connectivity index of unicyclic graphs and some applications [PDF]

Electronic Journal of Mathematics, 2022
Akbar Ali, Ivan Gutman, Izudin Redžepović   +2 more
doaj   +2 more sources

On the maximum atom-bond sum-connectivity index of graphs

Open Mathematics
The atom-bond sum-connectivity (ABS) index of a graph GG with edges e1,…,em{e}_{1},\ldots ,{e}_{m} is the sum of the numbers 1−2(dei+2)−1\sqrt{1-2{\left({d}_{{e}_{i}}+2)}^{-1}} over 1≤i≤m1\le i\le m, where dei{d}_{{e}_{i}} is the number of edges adjacent
Alraqad Tariq, Saber Hicham, Ali Akbar, Albalahi Abeer M.   +3 more
doaj   +4 more sources

Atom-bond sum-connectivity index

Journal of Mathematical Chemistry, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Akbar Ali, Boris Furtula, Izudin Redžepović, Ivan Gutman   +3 more
openaire   +2 more sources

A note on general sum-connectivity index

Proyecciones (Antofagasta), 2023
For a simple finite graph G, general sum-connectivity index is defined for any real number α as χα(G) =  , which generalises both the first Zagreb index and the ordinary sum-connectivity index. In this paper, we present some new bounds for the general sum-connectivity index. We also present relation between general sum-connectivity index and general
Phanjoubam, Chinglensana, Mawiong, Sainkupar, Buhphang, Ardeline M.   +2 more
openaire   +2 more sources

Closed Formulas for Some New Degree Based Topological Descriptors Using M-polynomial and Boron Triangular Nanotube

Frontiers in Chemistry, 2021
In this article, we provide new formulas to compute the reduced reciprocal randić index, Arithmetic geometric1 index, SK index, SK1 index, SK2 index, edge version of the first zagreb index, sum connectivity index, general sum connectivity index, and the ...
Dong Yun Shin, Sabir Hussain, Farkhanda Afzal, Choonkil Park, Deeba Afzal, Mohammad R. Farahani   +5 more
doaj   +1 more source

The spectral radius of signless Laplacian matrix and sum-connectivity index of graphs

AKCE International Journal of Graphs and Combinatorics, 2022
The sum-connectivity index of a graph G is defined as the sum of weights [Formula: see text] over all edges uv of G, where du and dv are the degrees of the vertices u and v in G, respectively.
A. Jahanbani, S. M. Sheikholeslami
doaj   +1 more source

Sharp Lower Bounds of the Sum-Connectivity Index of Unicyclic Graphs

Journal of Mathematics, 2021
The sum-connectivity index of a graph G is defined as the sum of weights 1/du+dv over all edges uv of G, where du and dv are the degrees of the vertices u and v in graph G, respectively.
Maryam Atapour
doaj   +1 more source

Wiener Index and Remoteness in Triangulations and Quadrangulations

, 2021
Let $G$ be a a connected graph. The Wiener index of a connected graph is the sum of the distances between all unordered pairs of vertices. We provide asymptotic formulae for the maximum Wiener index of simple triangulations and quadrangulations with ...
Czabarka, Éva, Dankelmann, Peter, Olsen, Trevor, Székely, László A.   +3 more
core   +1 more source