An Euler totient sum inequality

DOI10.1016/J.JNT.2015.11.012zbMath1403.11004OpenAlexW2236677114MaRDI QIDQ5964532

Curtin, Brian, G. R. Pourgholi

Publication date: 29 February 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.11.012

zbMATH Keywords

cyclic groupsclique numberpower graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Other combinatorial number theory (11B75) Finite abelian groups (20K01) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (9)

Matching in power graphs of finite groups ⋮ On connectedness of power graphs of finite groups ⋮ On the minimum degree, edge-connectivity and connectivity of power graphs of finite groups ⋮ The power index of a graph ⋮ Vertex connectivity of the power graph of a finite cyclic group II ⋮ On the minimum degree of the power graph of a finite cyclic group ⋮ Minimal cut-sets in the power graphs of certain finite non-cyclic groups ⋮ Spectrum and L-spectrum of the power graph and its main supergraph for certain finite groups ⋮ On the minimum degree of power graphs of finite nilpotent groups

Cites Work

• Unnamed Item
• The structure and metric dimension of the power graph of a finite group
• Edge-maximality of power graphs of finite cyclic groups
• On the chromatic number of the power graph of a finite group
• Undirected power graphs of semigroups
• Fermat's theorem for matrices
• On the power graph of a finite group
• A GROUP SUM INEQUALITY AND ITS APPLICATION TO POWER GRAPHS
• Power graphs: A survey
• Power Graphs of Finite Groups of Even Order

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