Sharp bounds on the zeroth-order general Randić index of unicyclic graphs with given diameter

DOI10.1016/j.aml.2010.12.006zbMath1209.05056OpenAlexW2090974984MaRDI QIDQ628267

Huiqing Liu, Xiang-Feng Pan, Meimei Liu

Publication date: 10 March 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2010.12.006

zbMATH Keywords

diameterunicyclic graphzeroth-order general Randić indexsharp bound

Mathematics Subject Classification ID

Connectivity (05C40) Vertex degrees (05C07)

Related Items (5)

Bounds on general Randić index for \(F\)-sum graphs ⋮ Sandwiching the (generalized) Randić index ⋮ On the zeroth-order general Randić index, variable sum exdeg index and trees having vertices with prescribed degree ⋮ Upper bound on the sum of powers of the degrees of graphs with few crossings per edge ⋮ Conjugated tricyclic graphs with the maximum zeroth-order general Randić index

Cites Work

• Connected \((n,m)\)-graphs with minimum and maximum zeroth-order general Randić index
• More on ``Connected \((n,m)\)-graphs with minimum and maximum zeroth-order general Randić index
• On sharp bounds of the zero-order Randić index of certain unicyclic graphs
• On unicycle graphs with maximum and minimum zeroth-order general Randić index
• Maximal value of the zeroth-order Randić index
• Unicycle graphs with maximum generalized topological indices
• Extremal \((n,n + 1)\)-graphs with respected to zeroth-order general Randić index
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