Results 21 to 30 of about 4,436,056 (266)
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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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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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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Representation of landscape hydrological connectivity using a topographically driven surface flow index. [PDF]
, 2009 This paper assesses the extent to which a topographically defined description of the spatial arrangement of catchment wetness can be used to represent landscape hydrological connectivity in temperate river catchments.
Heathwaite, A. Louise +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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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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Smarandache-Zagreb Index on Three Graph Operators [PDF]
, 2010 Many researchers have studied several operators on a connected graph in which one make an attempt on subdivision of its edges. In this paper, we show how the Zagreb indices, a particular case of Smarandache-Zagreb index of a graph changes with these ...
Ranjini, P.S., Lokesha, V.
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