On color-preserving automorphisms of Cayley graphs of odd square-free order

DOI10.1007/s10801-016-0711-9zbMath1358.05136arXiv1512.00239OpenAlexW2185394099MaRDI QIDQ517355

Edward Dobson, Ademir Hujdurović, Joy Morris, Klavdija Kutnar

Publication date: 23 March 2017

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.00239

zbMATH Keywords

automorphism groupCayley graphaffine automorphismcolor-preserving automorphism

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Coloring of graphs and hypergraphs (05C15) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)

Related Items (4)

Characterising CCA Sylow cyclic groups whose order is not divisible by four ⋮ A finite simple group is CCA if and only if it has no element of order four ⋮ Two new families of non-CCA groups ⋮ Cayley graphs with few automorphisms

Uses Software

• Magma
• ATLAS Group Representations

Cites Work

• Minimal normal subgroups of transitive permutation groups of square-free degree
• A classification of symmetric graphs of order \(3p\)
• The Magma algebra system. I: The user language
• On colour-preserving automorphisms of Cayley graphs
• Automorphism Groups of Metacirculant Graphs of Order a Product of Two Distinct Primes
• Isomorphism Problem for Metacirculant Graphs of Order a Product of Distinct Primes
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