Results 11 to 20 of about 17,914 (270)
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 tricyclic graphs with maximum atom–bond sum–connectivity index
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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On the Exponential Atom-Bond Connectivity Index of Graphs
MathematicsSeveral topological indices are possibly the most widely applied graph-based molecular structure descriptors in chemistry and pharmacology. The capacity of topological indices to discriminate is a crucial component of their study.
Kinkar Chandra Das
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Atom-bond sum-connectivity index
Journal of Mathematical Chemistry, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Akbar Ali +3 more
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On atom-bond connectivity index
Chemical Physics Letters, 2011 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 Das, Ivan Gutman, Boris Furtula
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Atom–bond connectivity index of trees
Discrete Applied Mathematics, 2009 The recently introduced atom-bond connectivity (ABC) index has been applied up to now to study the stability of alkanes and the strain energy of cycloalkanes. Here, mathematical properties of the ABC index of trees are studied. Chemical trees with the extremal ABC values are found. In addition, it has been proven that among all trees, the star tree, Sn,
Furtula, Boris +2 more
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Analysis of the properties of the topological Index using (analysis tools)
Al-Kitab Journal for Pure Sciences, 2023 Graph G has two sets of information: the vertices, V(G), and the edges, E(G). The definitions for the Connectivity, Geometric Arithmetic, Atomic Bond, and Sum Connectivity Indices of G: were deg(u), deg(v) are a degree of vertices. Dendrimers are
Batool Hatawi, Nabil Aref
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More on Comparison Between First Geometric-Arithmetic Index and Atom-Bond Connectivity Index [PDF]
, 2015 The first geometric-arithmetic (GA) index and atom-bond connectivity (ABC) index are molecular structure descriptors which play a significant role in quantitative structure-property relationship (QSPR) and quantitative structure-activity relationship ...
Akbar Ali +3 more
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The atom bond connectivity index of some trees and bicyclic graphs [PDF]
, 2015 The atom bond connectivity (ABC) index is one of the recently most investigated degree-based molecular structure descriptors that have applications in chemistry.
Hasni @ Abdullah, Roslan +4 more
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