Results 11 to 20 of about 39,692 (244)
AKCE International Journal of Graphs and Combinatorics, 2017 The general sum-connectivity index, general product-connectivity index, general Zagreb index and coindices of line graphs of subdivision graphs of tadpole graphs, wheels and ladders have been reported in the literature.
Harishchandra S. Ramane +2 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 maximum atom-bond sum-connectivity index of molecular trees
AKCE International Journal of Graphs and CombinatoricsLet 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 +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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Two-Matchings with Respect to the General Sum-Connectivity Index of Trees
AxiomsA vertex-degree-based topological index φ associates a real number to a graph G which is invariant under graph isomorphism. It is defined in terms of the degrees of the vertices of G and plays an important role in chemical graph theory, especially in ...
Roberto Cruz, Mateo Lopez, Juan Rada
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Frontiers in Chemistry, 2021 In this article, we provide new formulas to compute the reduced reciprocal randić index, Arithmetic geometric1 index, SK index, SK1 index, SK2 index, edge version of the first zagreb index, sum connectivity index, general sum connectivity index, and the ...
Dong Yun Shin +5 more
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A note on general sum-connectivity index
Proyecciones (Antofagasta), 2023 For a simple finite graph G, general sum-connectivity index is defined for any real number α as χα(G) = , which generalises both the first Zagreb index and the ordinary sum-connectivity index. In this paper, we present some new bounds for the general sum-connectivity index. We also present relation between general sum-connectivity index and general
Phanjoubam, Chinglensana +2 more
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The spectral radius of signless Laplacian matrix and sum-connectivity index of graphs
AKCE International Journal of Graphs and Combinatorics, 2022 The sum-connectivity index of a graph G is defined as the sum of weights [Formula: see text] over all edges uv of G, where du and dv are the degrees of the vertices u and v in G, respectively.
A. Jahanbani, S. M. Sheikholeslami
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Sharp Lower Bounds of the Sum-Connectivity Index of Unicyclic Graphs
Journal of Mathematics, 2021 The sum-connectivity index of a graph G is defined as the sum of weights 1/du+dv over all edges uv of G, where du and dv are the degrees of the vertices u and v in graph G, respectively.
Maryam Atapour
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General sum-connectivity index of trees with given number of branching vertices [PDF]
Transactions on Combinatorics, 2023 In 2015, Borovi\'{c}anin presented trees with the smallest first Zagreb index among trees with given number of vertices and number of branching vertices. The first Zagreb index is obtained from the general sum-connectivity index if $a = 1$.
Tomas Vetrik
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