Results 1 to 10 of about 18,171 (291)
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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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 [PDF]
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 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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Atom-bond connectivity index and diameter of graphs
Journal of Hebei University of Science and Technology, 2016 For further study of the numerous nice properties of topological indices in physical and chemical fields, it is worth considering the relation between a degree-based index and a distance-based index.
Lin WU, Yumei HU
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On the maximum atom-bond sum-connectivity index of graphs [PDF]
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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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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On atom-bond connectivity index
Chemical Physics Letters, 2012 The atom-bond connectivity index (ABC) is a vertex-degree based graph invariant, put forward in the 1990s, having applications in chemistry. Let G = (V,E) be a graph, di the degree of its vertex i, and ij the edge connecting the vertices i and j. Then ABC = ?ij?E ?(di+dj?2)/(didj).
Kinkar Chandra Das +2 more
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THE ATOM BOND CONNECTIVITY INDEX OF CERTAIN GRAPHS [PDF]
International Journal of Pure and Apllied Mathematics, 2016 L'indice de connectivité des liaisons atomiques (ABC) fournit un bon modèle pour la stabilité des alcanes linéaires et ramifiés ainsi que l'énergie de déformation des cycloalcanes, qui est définie, nous désignons du le degré de sommet u dans G. Dans cet article, nous étudions la formule générale de l'indice ABC de certains graphes et le collage des ...
Mohanad A. Mohammed +4 more
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