Results 1 to 10 of about 1,417 (232)

On tricyclic graphs with maximum atom–bond sum–connectivity index [PDF]

Heliyon
The sum-connectivity, Randić, and atom-bond connectivity indices have a prominent place among those topological indices that depend on the graph's vertex degrees.
Sadia Noureen, Rimsha Batool, Abeer M. Albalahi, Yilun Shang, Tariq Alraqad, Akbar Ali   +5 more
doaj   +6 more sources

General Atom-Bond Sum-Connectivity Index of Graphs

Mathematics, 2023
This paper is concerned with the general atom-bond sum-connectivity index ABSγ, which is a generalization of the recently proposed atom-bond sum-connectivity index, where γ is any real number.
Abeer M. Albalahi, Emina Milovanović, Akbar Ali   +2 more
doaj   +4 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   +5 more sources

On the maximum atom-bond sum-connectivity index of molecular trees

AKCE International Journal of Graphs and Combinatorics
Let G be a graph with V(G) and E(G), as vertex set and edge set, respectively. The atom-bond sum-connectivity (ABS) index is a vertex-based topological index which is defined as [Formula: see text] where [Formula: see text] is the degree of the vertex a.
Zhonglin Cheng, Akbar Jahanbani, Jun Wang   +2 more
doaj   +4 more sources

Atom-bond sum-connectivity index of line graphs [PDF]

Discrete Mathematics Letters, 2023
Summary: The recently introduced atom-bond sum-connectivity (ABS) index is receiving nowadays significant attention in chemical graph theory. In this paper, an inequality between the ABS index of a graph and its line graph is established. As a consequence of the obtained inequality, the unique graph with the minimum ABS index among all line graphs of ...
Yanyan Ge, Zhen Lin, Jiajia Wang
doaj   +3 more sources

On bounds for the atom bond sum connectivity index of graphs associated with symmetric numerical semigroups

AKCE International Journal of Graphs and Combinatorics
The computation of the clique number of a graph is a fundamental problem in graph theory, which has many applications in computational chemistry, bioinformatics, computer, and social networking.
Ying Wang, Anam Shahzadi, Muhammad Ahsan Binyamin, Maria Mehtab, Fairouz Tchier, Adnan Aslam   +5 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   +2 more
exaly   +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

Maximum atom-bond sum-connectivity index of n-order trees with fixed number of leaves [PDF]

Discrete Mathematics Letters, 2023
Soit G un graphe.Pour un bord e de G, désigner par de le nombre de bords adjacents à e.L' indice de somme des liaisons atomiques (ABS) de G est défini comme ABS(G) = e∈E(G) 1 -2(de + 2) -1 .Un graphe d'ordre n est connu comme un graphe d'ordre n.Le problème de la détermination des arbres possédant l'indice ABS minimum parmi tous les arbres d'ordre n ...
Sadia Noureen, Akbar Ali
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