Some structural graph properties of the non-commuting graph of a class of finite Moufang loops

DOI10.5614/ejgta.2020.8.2.9zbMath1468.20111OpenAlexW3095584782MaRDI QIDQ4957997

Hamideh Hasanzadeh Bashir, Karim Ahmadidelir

Publication date: 6 September 2021

Published in: Electronic Journal of Graph Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5614/ejgta.2020.8.2.9

zbMATH Keywords

perfect graphschordal graphssplit graphsfinite Moufang loopsloop theorynon-commuting graph of a finite group

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Loops, quasigroups (20N05) Perfect graphs (05C17)

Related Items (2)

A survey on enhanced power graphs of finite groups ⋮ Graphs defined on groups

Cites Work

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• The strong perfect graph theorem
• Groups with the same non-commuting graph.
• Algorithmic graph theory and perfect graphs
• Inverses of triangular matrices and bipartite graphs
• Non-commuting graph of a group.
• Integral complete split graphs
• On the non-commuting graph in finite Moufang loops
• Groups for which the noncommuting graph is a split graph
• Lagrange's theorem for Moufang loops
• Simple groups are characterized by their non-commuting graphs

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