Smallest graphs with given automorphism group

DOI10.1007/s10801-022-01125-2OpenAlexW4220779286MaRDI QIDQ2164988

Danai Deligeorgaki

Publication date: 18 August 2022

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

Full work available at URL: https://arxiv.org/abs/2108.10384

zbMATH Keywords

automorphism groupminimum ordergeneralised quaternion groupgeneralised dicyclic group

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Special aspects of infinite or finite groups (20Fxx) Permutation groups (20Bxx)

Cites Work

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• On the minimum order of graphs with given automorphism group
• Graphical regular representations of alternating, symmetric and miscellaneous small groups
• Vertex-minimal graphs with dihedral symmetry. II
• Vertex-minimal graphs with dihedral symmetry. I.
• Vertex-minimal graphs with nonabelian \(\mathbf{2}\)-group symmetry
• On the action of non-Abelian groups on graphs
• The least number of edges for graphs having dihedral automorphism group
• On Graphs Whose Full Automorphism Group is an Alternative Group or a Finite Classical Group
• The classification of minimal graphs with given abelian automorphism group
• On the Minimum Order of Graphs with Given Group
• Smallest graphs with given generalized quaternion automorphism group
• On the non-existence of graphs with transitive generalized dicyclic groups
• Graphical Regular Representations of Non-Abelian Groups, I

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