Permutability graphs of subgroups of some finite non-abelian groups

DOI10.1142/S1793830916500476zbMath1346.05116arXiv1504.00645OpenAlexW2963668118MaRDI QIDQ2821113

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Publication date: 16 September 2016

Published in: Discrete Mathematics, Algorithms and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.00645

zbMATH Keywords

Hamiltonianindependence numberdominating numberEuleriannon-abelian groupspermutability graphsweakly perfect

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Coloring of graphs and hypergraphs (05C15) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Eulerian and Hamiltonian graphs (05C45) Vertex degrees (05C07) Subgroups of abelian groups (20K27)

Related Items (6)

Unnamed Item ⋮ Factorization number and subgroup commutativity degree via spectral invariants ⋮ Distance-regular Cayley graphs over dicyclic groups ⋮ Non-permutability graph of subgroups ⋮ Unnamed Item ⋮ On the connected components of the prime and Sylow graphs of a finite group

Cites Work

• On finite groups with a reducible permutability-graph
• Finite groups and subgroup-permutability
• Finite groups with planar subgroup lattices.
• Non-commuting graph of a group.
• On a Graph Related to Conjugacy Classes of Groups
• On permutability graphs of subgroups of groups
• PLANARITY OF PERMUTABILITY GRAPHS OF SUBGROUPS OF GROUPS
• Noncyclic Graph of a Group
• Subgroup-permutability and affine planes

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