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Cacti with maximal general sum-connectivity index
Journal of Applied Mathematics and Computing, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Minimum general sum-connectivity index of unicyclic graphs
Journal of Mathematical Chemistry, 2010The general sum-connectivity index of a graph G is defined as X alpha(G) = Sigma edges (d(u) + d(v))(alpha), where d(u) denotes the degree of vertex u in G and a is alpha real number. In this report, we determine the minimum and the second minimum values of the general sum-connectivity indices of n-vertex unicyclic graphs for non-zero alpha >= -1, and ...
Du, Zhibin, Zhou, Bo, Trinajstić, Nenad
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On General Sum-Connectivity Index of Trees of Fixed Maximum Degree and Order
Match Communications in Mathematical and in Computer Chemistry, 2022Summary: The general sum-connectivity index is a molecular descriptor introduced within the field of mathematical chemistry about a decade ago. For an arbitrary real number \(\alpha\), the general sum-connectivity index of a graph \(G\) is denoted \(\chi_{\alpha}(G)\) and is defined as the sum of the numbers \(\left(d(u) + d(v)\right)^{\alpha}\) over ...
Raza, Zahid +3 more
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On the general sum-connectivity index of tricyclic graphs
Journal of Applied Mathematics and Computing, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhu, Zhongxun, Lu, Hongyan
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Relations between the general sum connectivity index and the line graph
Journal of Mathematical Chemistry, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Walter Carballosa +3 more
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Progress in general sum-connectivity index
2011 International Conference on Electronics, Communications and Control (ICECC), 2011The general sum-connectivity index of a graph G is defined as χ a (G) = Σ uv∊E(G) (d u +d v )α, where d u (or d v ) denotes the degree of vertex u (or v) in G, E(G) denotes the edge set of G, and α is a real number. This paper outlines the results up to now on this problem.
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Extremal Values of the General Harmonic Index and General Sum-Connectivity Index of f-Benzenoids
Polycyclic Aromatic Compounds, 2020The general harmonic index and general sum-connectivity index are two degree-based topological indices which reflect certain structural features of organic molecules.
Qingfang Ye, Fengwei Li, Ruixuan Ye
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The Minimum General Sum-Connectivity Index of Trees with Given Matching Number
Bulletin of the Malaysian Mathematical Sciences Society, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lingping Zhong, Qiuping Qian
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General sum-connectivity index of a graph and its line graph
Applied Mathematics and Computation, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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General sum-connectivity index of unicyclic graphs with given diameter and girth
Discrete Mathematics, Algorithms and Applications, 2021Topological indices of graphs have been studied due to their extensive applications in chemistry. We obtain lower bounds on the general sum-connectivity index [Formula: see text] for unicyclic graphs [Formula: see text] of given girth and diameter, and for unicyclic graphs of given diameter, where [Formula: see text].
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