Characterization and construction of Cayley graphs admitting regular Cayley maps

DOI10.1016/0012-365X(95)00076-9zbMath0861.05030MaRDI QIDQ1815316

Jajcay, Robert

Publication date: 4 May 1997

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

presentationsurfaceCayley graphCayley mapcharacterizationrotary mapping

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Structural characterization of families of graphs (05C75)

Related Items (5)

On symmetries of Cayley graphs and the graphs underlying regular maps ⋮ The structure of automorphism groups of Cayley graphs and maps. ⋮ Regular Cayley maps for cyclic groups ⋮ Frobenius maps ⋮ Regular balanced Cayley maps for cyclic, dihedral and generalized quaternion groups

Cites Work

• Regular maps from Cayley graphs. I: Balanced Cayley maps
• Regular orientable imbeddings of complete graphs
• 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
• Theory of Maps on Orientable Surfaces
• Characterisation of Graphs which Underlie Regular Maps on Closed Surfaces
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