Results 11 to 20 of about 4,436,056 (266)
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 [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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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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Filomat, 2011 The sum-connectivity index of a simple graph G is defined in mathematical chemistry as R+(G) = ? uv?E(G)(du+dv)?1/2, where E(G) is the edge set of G and du is the degree of vertex u in G. We give a best possible lower bound for the sum-connectivity index of a graph (a triangle-free graph, respectively) with n vertices and minimum degree at ...
Wang, Shilin +2 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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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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On the Graphs of Minimum Degree At Least 3 Having Minimum Sum-Connectivity Index
Journal of Mathematics, 2022 For a graph G, its sum-connectivity index is denoted by χG and is defined as the sum of the numbers du+dv−1/2 over all edges uv of G, where dw denotes the degree of a vertex w∈VG.
Wael W. Mohammed +5 more
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Investigation of General Power Sum-Connectivity Index for Some Classes of Extremal Graphs
Complexity, 2021 In this work, we introduce a new topological index called a general power sum-connectivity index and we discuss this graph invariant for some classes of extremal graphs.
Rui Cheng +5 more
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Eccentric connectivity index and eccentric distance sum of some graph operations [PDF]
Transactions on Combinatorics, 2013 Let $G=(V,E)$ be a connected graph. The eccentric connectivity index of $G$, $xi^{c}(G)$, is defined as $xi^{c}(G)=sum_{vin V(G)}deg(v)ec(v)$, where $deg(v)$ is the degree of a vertex $v$ and $ec(v)$ is its eccentricity. The eccentric distance sum of $G$
Buzohragul Eskender, Elkin Vumar
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AxiomsThe field of indices has been explored and advanced by various researchers for different purposes. One purpose is the optimization of indices in various problems. In this work, the general power-sum connectivity index is considered. The general power-sum
Muhammad Yasin Khan +2 more
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