Results 1 to 10 of about 193,843 (154)
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 sum-connectivity index and general Randić index of trees with given maximum degree [PDF]
Discrete Mathematics Letters, 2023 Summary: For trees with given number of vertices \(n\) and maximum degree \(\Delta\), we present lower bounds on the general sum-connectivity index \(\chi_a\) if \(a >0\) and \(3 \leq \Delta \leq n -1\), and an upper bound on the general Randić index \(R_a\) if \(-0.283\leq a
Elize Swartz, Tomáš Vetrík
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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 sum-connectivity index and general Randić index of cacti [PDF]
Journal of Inequalities and Applications, 2016 Let G be a connected graph. The degree of a vertex x of G, denoted by d G ( x ) $d_{G}(x)$ , is the number of edges adjacent to x. The general sum-connectivity index is the sum of the weights ( d G ( x ) + d G ( y ) ) α $(d_{G}(x)+d_{G}(y))^{\alpha}$ for
Shehnaz Akhter +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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Investigation of General Power Sum-Connectivity Index for Some Classes of Extremal Graphs [PDF]
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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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 Minimal General Sum-Connectivity Index of Connected Graphs Without Pendant Vertices [PDF]
IEEE Access, 2019 The general sum-connectivity index of a graph $G$ , denoted by $\chi _{_\alpha }(G)$ , is defined as $\sum _{uv\in E(G)}(d(u)+d(v))^{\alpha }$ , where $uv$ is the edge connecting the vertices $u,v\in V(G)$ , $d(w)$ denotes the degree of a vertex
Akbar Ali +4 more
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