The classification of minimal graphs with given abelian automorphism group

DOI10.1090/memo/0330zbMath0568.05031OpenAlexW2006104143MaRDI QIDQ3684146

William C. Arlinghaus

Publication date: 1985

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0330

zbMATH Keywords

minimal graphsautomorphism group of a graph

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)

Related Items (12)

On the fixing sets of dihedral groups ⋮ Smallest graphs with given automorphism group ⋮ TMC tetrahedral types MOD \(2k+1\) and their structure graphs ⋮ Small posets with prescribed automorphism group ⋮ Any finite group is the group of some binary, convex polytope ⋮ Vertex-minimal graphs with dihedral symmetry. II ⋮ Permutation groups on unordered sets. II: On a theorem of Frucht ⋮ Vertex-minimal graphs with dihedral symmetry. I. ⋮ Vertex-minimal planar graphs with a prescribed automorphism group ⋮ Vertex-minimal planar graphs with cyclic 2-group symmetry ⋮ Vertex-minimal graphs with nonabelian \(\mathbf{2}\)-group symmetry ⋮ Graphical representations of cyclic permutation groups

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