16-vertex graphs with automorphism groups A4 and A5 from the icosahedron

DOI10.5614/ejgta.2020.8.2.1zbMath1468.05107arXiv1905.00212OpenAlexW3095561956MaRDI QIDQ4957984

Peteris Daugulis

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://arxiv.org/abs/1905.00212

zbMATH Keywords

graphautomorphism groupalternating groupicosahedronhemi-icosahedron

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Group actions on combinatorial structures (05E18)

Cites Work

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• Graphical regular representations of alternating, symmetric and miscellaneous small groups
• On Graphs Whose Full Automorphism Group is an Alternative Group or a Finite Classical Group
• On the Minimum Order of Graphs with Given Group
• Abstract Regular Polytopes
• A note on another construction of graphs with $4n+6$ vertices and cyclic automorphism group of order $4n$

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