The structure of automorphism groups of Cayley graphs and maps.

DOI10.1023/A:1008763602097zbMath1043.05061MaRDI QIDQ5926294

Jajcay, Robert

Publication date: 2000

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

zbMATH Keywords

surfaceautomorphism groupCayley graphCayley mapembedding

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (8)

On symmetries of Cayley graphs and the graphs underlying regular maps ⋮ Automorphism Group of Generalized Cayley Graph of Upper Triangular Matrices ⋮ Colorful polytopes and graphs ⋮ Distinguishing threshold of graphs ⋮ Almost all Cayley maps are mapical regular representations ⋮ Automorphisms of augmented cubes ⋮ Separability and efficiency under standard wreath product in terms of Cayley graphs. ⋮ Cayley maps

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Regular maps from Cayley graphs. I: Balanced Cayley maps
• Regular orientable imbeddings of complete graphs
• On graphical representations of cyclic extensions of groups
• On a construction of infinite families of regular Cayley maps
• Regular maps from Cayley graphs. II: Antibalanced Cayley maps
• Automorphism groups of Cayley maps
• On a new product of groups
• Characterization and construction of Cayley graphs admitting regular Cayley maps
• Theory of Maps on Orientable Surfaces
• Graphical Regular Representations of Non-Abelian Groups, I
• Graphical Regular Representations of Non-Abelian Groups, II

This page was built for publication: The structure of automorphism groups of Cayley graphs and maps.