Generalized Cayley maps and their Petrie duals

DOI10.26493/1855-3974.2408.42ezbMATH Open1546.05056MaRDI QIDQ6597988

Yan Wang, Jozef Širáň, Robert Jajcay

Publication date: 4 September 2024

Published in: Ars Mathematica Contemporanea (Search for Journal in Brave)

zbMATH Keywords

Cayley mapregular embeddingautomorphism group of a map

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Group actions on combinatorial structures (05E18)

Cites Work

• Title not available (Why is that?)
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• Self-dual, self-Petrie covers of regular polyhedra
• Regular maps from Cayley graphs. I: Balanced Cayley maps
• Regular embeddings of \(K_{n,n}\) where \(n\) is a power of 2. II: The non-metacyclic case
• Regular orientable imbeddings of complete graphs
• Operators over regular maps
• Automorphism groups of Cayley maps
• Skew-morphisms of regular Cayley maps
• Regular maps whose groups do not act faithfully on vertices, edges, or faces
• Regular and orientably-regular maps with quasiprimitive automorphism groups on vertices
• Regular embeddings of \(K_{n,n}\) where \(n\) is an odd prime power
• Petrie duality and the Anstee-Robertson graph
• Classification of reflexible regular embeddings and self-Petrie dual regular embeddings of complete bipartite graphs
• Vertex-transitive graphs
• Cayley maps
• Topological graph theory.
• Handbook of Graph Theory
• Self-dual and self-petrie-dual regular maps
• Unoriented Cayley maps
• Regular embeddings of complete bipartite graphs: classification and enumeration

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