The zeroth-order general Randic index of graphs with a given clique number

DOI10.11568/kjm.2020.28.3.405zbMath1454.05025OpenAlexW3093013942MaRDI QIDQ5151991

Jianwei Du, Xiaoling Sun, Yanling Shao

Publication date: 18 February 2021

Full work available at URL: http://journal.kkms.org/index.php/kjm/article/download/757/547

zbMATH Keywords

chromatic numberclique numberzeroth-order general Randić index

Mathematics Subject Classification ID

Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Vertex degrees (05C07) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09)

Cites Work

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• Sharp bounds on the zeroth-order general randić indices of conjugated bicyclic graphs
• Graphs with fixed number of pendent vertices and minimal zeroth-order general Randić index
• Connected \((n,m)\)-graphs with minimum and maximum zeroth-order general Randić index
• On unicycle graphs with maximum and minimum zeroth-order general Randić index
• On the monotonicity of topological indices and the connectivity of a graph
• Maximal value of the zeroth-order Randić index
• Zeroth-order general Randić index of cactus graphs
• The Zagreb indices of graphs with a given clique number
• Maximally edge-connected graphs and zeroth-order general Randić index for \(0<\alpha <1\)
• Extremal \((n,n + 1)\)-graphs with respected to zeroth-order general Randić index
• Conjugated tricyclic graphs with the maximum zeroth-order general Randić index
• Series expansion of the directed percolation probability
• Maximally edge-connected graphs and zeroth-order general Randić index for \(\alpha\leq-1\)

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