Results 1 to 10 of about 193,774 (278)
Bounds for the general sum-connectivity index of composite graphs [PDF]
Journal of Inequalities and Applications, 2017 The general sum-connectivity index is a molecular descriptor defined as χ α ( X ) = ∑ x y ∈ E ( X ) ( d X ( x ) + d X ( y ) ) α $\chi_{\alpha}(X)=\sum_{xy\in E(X)}(d_{X}(x)+d_{X}(y))^{\alpha}$ , where d X ( x ) $d_{X}(x)$ denotes the degree of a vertex x
Shehnaz Akhter +2 more
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Some new bounds on the general sum–connectivity index [PDF]
Communications in Combinatorics and Optimization, 2020 Let $G=(V,E)$ be a simple connected graph with $n$ vertices, $m$ edges and sequence of vertex degrees $d_1 \ge d_2 \ge \cdots \ge d_n>0$, $d_i=d(v_i)$, where $v_i\in V$. With $i\sim j$ we denote adjacency of vertices $v_i$ and $v_j$. The general sum--
Akbar Ali +4 more
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General Atom-Bond Sum-Connectivity Index of Graphs
Mathematics, 2023 This paper is concerned with the general atom-bond sum-connectivity index ABSγ, which is a generalization of the recently proposed atom-bond sum-connectivity index, where γ is any real number.
Abeer M. Albalahi +2 more
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On the general atom-bond sum-connectivity index
AIMS Mathematics, 2023 This paper is concerned with a generalization of the atom-bond sum-connectivity (ABS) index, devised recently in [A. Ali, B. Furtula, I. Redžepović, I. Gutman, Atom-bond sum-connectivity index, J. Math. Chem., 60 (2022), 2081-2093]. For a connected graph
Abeer M. Albalahi +2 more
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Properties of Total Transformation Graphs for General Sum-Connectivity Index
Complexity, 2021 The study of networks and graphs through structural properties is a massive area of research with developing significance. One of the methods used in studying structural properties is obtaining quantitative measures that encode structural data of the ...
Anam Rani +3 more
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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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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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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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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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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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