Results 1 to 10 of about 11,685 (157)
On tricyclic graphs with maximum atom–bond sum–connectivity index [PDF]
HeliyonThe 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 +5 more
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On the maximum atom-bond sum-connectivity index of graphs
Open MathematicsThe 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 +3 more
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Atom-bond sum-connectivity index [PDF]
Journal of Mathematical Chemistry, 2022 Akbar Ali is partially supported by Scientific Research Deanship, University of Ha’il, Saudi Arabia, through Project Numbers RG-22 002 and RG-22 005. Boris Furtula and Izudin Redžepović gratefully acknowledge financial support of the Serbian Ministry of ...
Ali, Akbar +3 more
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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
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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 +2 more
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On the general atom-bond sum-connectivity index
AIMS Mathematics, 2023 This paper is concerned with a generalization of the atom-bond sum-connectivity (ABS) index, devised recently in [A. Ali, B. Furtula, I. Redžepović, I. Gutman, Atom-bond sum-connectivity index, J. Math. Chem., 60 (2022), 2081-2093]. For a connected graph
Abeer M. Albalahi +2 more
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The Atom-Bond Connectivity Index of Catacondensed Polyomino Graphs [PDF]
Discrete Dynamics in Nature and Society, 2013 Let G=(V,E) be a graph. The atom-bond connectivity (ABC) index is defined as the sum of weights ((du+dv−2)/dudv)1/2 over all edges uv of G, where du denotes the degree of a vertex u of G.
Jinsong Chen, Jianping Liu, Qiaoliang Li
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Linear model based on neighborhood ABS index for graph energy in benzenoid hydrocarbons and maximum index cactus graphs [PDF]
Scientific ReportsThe 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 +3 more
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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
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Atom-bond sum-connectivity index of unicyclic graphs and some applications [PDF]
Electronic Journal of Mathematics, 2022 Akbar Ali +2 more
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