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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Remarks on Multiplicative Atom-Bond Connectivity Index [PDF]
IEEE Access, 2019 The atom-bond connectivity (ABC) index is one of the most actively studied degree-based graph invariants that are found in a vast variety of chemical applications.
Riste Skrekovski +4 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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The first multiplication atom-bond connectivity index of molecular structures in drugs [PDF]
Saudi Pharmaceutical Journal, 2017 In the field of medicine, there are a large number of new drugs synthesis every year. Before entering the clinical stage, it needs a lot of work on drug testing of the various properties.
Wei Gao +3 more
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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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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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On the atom-bond connectivity index and radius of connected graphs [PDF]
Journal of Inequalities and Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhibin Du
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Atom bond connectivity index for graph with self-loops and its application to structure property relationships in anticancer drugs [PDF]
Scientific ReportsLet $$G_S$$ be a graph derived from a simple graph G by adding a self-loop to each vertex in a subset $$S\subseteq V(G)$$ . In this paper, we define the atom bond connectivity index of the graph $$G_S$$ as $$ABC(G_S)$$ and the atom bond connectivity ...
B. Sharath, H. J. Gowtham
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Further Properties of Trees with Minimal Atom-Bond Connectivity Index [PDF]
Abstract and Applied Analysis, 2014 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. In this paper, we determined a few structural features of the trees
Jianping Liu, Jinsong Chen
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