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General sum-connectivity index of unicyclic graphs with given diameter
Discrete Applied Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Monther Rashed Alfuraidan +3 more
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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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Cacti with maximal general sum-connectivity index
Journal of Applied Mathematics and Computing, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shahid Zaman
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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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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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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 unicyclic graphs with given maximum degree
Discrete Applied MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Elize Swartz, Tomáš Vetrík
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RELATION BETWEEN GENERAL RANDIC INDEX AND ´ GENERAL SUM CONNECTIVITY INDEX
South East Asian J. of Mathematics and Mathematical Sciences, 2022The general Randi´c index is the sum of weights of (d(u).d(v))k for every edge uv of a molecular graph G. On the other hand general Sum-Connectivity index is the sum of the weights (d(u) + d(v))k for every edge uv of G, where k is a real number and d(u) is the degree of vertex u.
V. S., Shigehalli, Dsouza, Austin Merwin
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On general sum-connectivity index
Journal of Mathematical Chemistry, 2009We report some properties especially lower and upper bounds in terms of other graph invariants for the general sum-connectivity index which generalizes both the ordinary sum-connectivity index and the first Zagreb index. Additionally, we give the Nordhaus-Gaddum-type result for the general sum-connectivity index.
Zhou, Bo, Trinajstić, Nenad
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