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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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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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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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On the general sum-connectivity index of trees
Applied Mathematics Letters, 2011 The general sum-connectivity index of a graph G is defined as chi(alpha)(G) = Sigma(uvE(G))(d(u) + d(v))(alpha) where du denotes the degree of vertex u in G, E(G) denotes the edge set of G and alpha is a real number. We determine the maximum value for the general sum-connectivity indices of n-vertex trees and the corresponding extremal trees for alpha <
Zhibin Du, Bo Zhou, Nenad Trinajstić
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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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Atom-bond sum-connectivity index
Journal of Mathematical Chemistry, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Akbar Ali +2 more
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On the sum-connectivity index of cacti
Mathematical and Computer Modelling, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hanyuan Deng
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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 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
doaj +3 more sources