Complete regular dessins of odd prime power order

DOI10.1016/j.disc.2018.09.028zbMath1400.05159arXiv1806.04369OpenAlexW2964077902WikidataQ128992741 ScholiaQ128992741MaRDI QIDQ1625786

Roman Nedela, Kan Hu, Na-Er Wang

Publication date: 29 November 2018

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

Full work available at URL: https://arxiv.org/abs/1806.04369

zbMATH Keywords

graph embeddingmetacyclic groupdessin d'enfant

Mathematics Subject Classification ID

Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60) Dessins d'enfants theory (14H57)

Related Items (6)

Complete circular regular dessins of type \(\{2^e,2^f\}\). I: metacyclic case ⋮ Reflexible complete regular dessins and antibalanced skew morphisms of cyclic groups ⋮ Circular regular dessins ⋮ Complete bipartite multi-graphs with a unique regular dessin ⋮ The complete bipartite graphs which have exactly two orientably edge-transitive embeddings ⋮ Complete circular regular dessins of coprime orders

Cites Work

• Regular embeddings of \(K_{n,n}\) where \(n\) is a power of 2. II: The non-metacyclic case
• Graphs on surfaces and their applications. Appendix by Don B. Zagier
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• Regular embeddings of complete bipartite graphs
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• Regular embeddings of \(K_{n,n}\) where \(n\) is a power of 2. I: Metacyclic case
• Regular embeddings of \(K_{n,n}\) where \(n\) is an odd prime power
• Branched cyclic regular coverings over Platonic maps
• Complete bipartite graphs with a unique regular embedding
• Classification of reflexible regular embeddings and self-Petrie dual regular embeddings of complete bipartite graphs
• The absolute Galois group acts faithfully on regular dessins and on Beauville surfaces
• Regular embeddings of complete bipartite graphs: classification and enumeration
• GENERALISED FERMAT HYPERMAPS AND GALOIS ORBITS
• The complete bipartite graphs with a unique edge‐transitive embedding
• Belyi Functions, Hypermaps and Galois Groups
• Complete regular dessins and skew-morphisms of cyclic groups
• Endliche Gruppen I
• Regular orientable embeddings of complete bipartite graphs
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