Results 1 to 10 of about 217,124 (180)
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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On tricyclic graphs with maximum atom–bond sum–connectivity index [PDF]
HeliyonThe sum-connectivity, Randić, and atom-bond connectivity indices have a prominent place among those topological indices that depend on the graph's vertex degrees.
Sadia Noureen +5 more
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Atom-bond sum-connectivity index of line graphs [PDF]
Discrete Mathematics Letters, 2023 Summary: The recently introduced atom-bond sum-connectivity (ABS) index is receiving nowadays significant attention in chemical graph theory. In this paper, an inequality between the ABS index of a graph and its line graph is established. As a consequence of the obtained inequality, the unique graph with the minimum ABS index among all line graphs of ...
Yanyan Ge, Zhen Lin, Jiajia Wang
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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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On the general sum-connectivity index of hypergraphs
AIMS MathematicsGiven a non-zero real number $ \alpha $, the general sum-connectivity index $ \chi_{\alpha} $ for graph $ G $ is given by the sum $ \Sigma_{xy\in {E(G)}} (d_x+d_y)^{\alpha} $. Here, $ d_x $ denotes the degree of a vertex $ x $ in graph $ G $, and $ E(G) $
Hongzhuan Wang, Piaoyang Yin, Yan Li
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Bond-additive Modeling. 3. Comparison between the Product-connectivity Index and Sum-connectivity Index [PDF]
Croatica chemica acta, 2010 Using the framework of a previously defined procedure (Refs. 16 and 17), we compared the Randic (product-)connectivity index and the sum-connectivity index for the benchmark sets of molecules, that is, 18 octanes, 82 polycyclic aromatic hydrocarbons, 209
Trinajstić, Nenad, Vukičević, Damir
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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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