Eulerian properties of non-commuting and non-cyclic graphs of finite groups

DOI10.1080/00927872.2017.1392534zbMath1392.20013OpenAlexW2766388409MaRDI QIDQ4570938

Veronica Davis, Gerhardt Hinkle, Daniel Costa, Kenneth Gill, Les Reid

Publication date: 10 July 2018

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2017.1392534

zbMATH Keywords

groupEuleriannon-cyclic graphnon-commuting graphpath-Eulerian

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (2)

Finite groups whose noncyclic graphs have positive genus ⋮ Finite groups with star-free noncyclic graphs

Cites Work

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• \(n\)-cyclicizer groups.
• Groups with the same non-commuting graph.
• Characterization of the alternating group by its non-commuting graph.
• Non-commuting graph of a group.
• Non-Commuting Graphs of Nilpotent Groups
• An Adjacency Criterion for the Prime Graph of a Finite Simple Group
• NON-CYCLIC GRAPH ASSOCIATED WITH A GROUP
• Commutativity Pattern of Finite Non-Abelianp-Groups Determine Their Orders
• Simple groups are characterized by their non-commuting graphs
• Noncyclic Graph of a Group
• The classification of the finite simple groups

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