Results 21 to 30 of about 217,223 (279)
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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On Certain Aspects of Topological Indices
Journal of Mathematics, 2021 A topological index, also known as connectivity index, is a molecular structure descriptor calculated from a molecular graph of a chemical compound which characterizes its topology.
Tanweer Ul Islam +4 more
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Mesoscale mapping of sediment source hotspots for dam sediment management in data-sparse semi-arid catchments [PDF]
, 2020 Land degradation and water availability in semi-arid regions are interdependent challenges for management that are influenced by climatic and anthropogenic changes.
Gholami, Faraz Rabei +5 more
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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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The Connectivity and the Harary Index of a Graph [PDF]
, 2012 The Harary index of a graph is defined as the sum of reciprocals of distances between all pairs of vertices of the graph. In this paper we provide an upper bound of the Harary index in terms of the vertex or edge connectivity of a graph.
Das +17 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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Journal of Chemistry, 2021 In this research paper, we will compute the topological indices (degree based) such as the ordinary generalized geometric-arithmetic (OGA) index, first and second Gourava indices, first and second hyper-Gourava indices, general Randic´ index RγG,for γ=±1,
Muhammad Haroon Aftab +3 more
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Exact Formula and Improved Bounds for General Sum-Connectivity Index of Graph-Operations
IEEE Access, 2019 For a molecular graph Γ, the general sum-connectivity index is defined as χβ(Γ) = Σvw∈E(Γ)[dΓ(v) + dΓ(w)]β, where β ∈ R and dΓ(v) denotes the degree of the vertex ...
Maqsood Ahmad +3 more
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On Eccentric Connectivity Index of Eccentric Graph of Regular Dendrimer [PDF]
, 2016 The eccentric connectivity index \(\xi ^c(G)\) of a connected graph G is defined as \(\xi ^c(G) =\sum _{v \in V(G)}{deg(v) e(v)},\) where deg( v) is the degree of vertex v and e( v) is the eccentricity of v. The eccentric graph, \(G_e\), of a graph G has
Nagar, Atulya, Sastha, Sriram
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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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