A classification of regular \(t\)-balanced Cayley maps on dihedral groups

DOI10.1016/j.ejc.2004.12.002zbMath1085.05026OpenAlexW4213004474MaRDI QIDQ820082

Young Soo Kwon, Jin Ho Kwok, Rong Quan Feng

Publication date: 6 April 2006

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

Full work available at URL: https://doi.org/10.1016/j.ejc.2004.12.002

Mathematics Subject Classification ID

Enumeration in graph theory (05C30) Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (24)

On the direct products of skew-morphisms ⋮ Arc-transitive dihedrants of odd prime-power order ⋮ On the skew-morphisms of dihedral groups ⋮ Quotients of polynomial rings and regular \(t\)-balanced Cayley maps on abelian groups ⋮ On \(G\)-arc-regular dihedrants and regular dihedral maps ⋮ Classification of reflexible Cayley maps for dihedral groups ⋮ Regular \(t\)-balanced Cayley maps for Abelian groups ⋮ On dihedrants admitting arc-regular group actions ⋮ A classification of skew morphisms of dihedral groups ⋮ Regular Cayley maps of skew-type 3 for abelian groups ⋮ Unnamed Item ⋮ A classification of regular \(t\)-balanced Cayley maps on dicyclic groups ⋮ Classification of 2-arc-transitive dihedrants ⋮ Regular Cayley maps for dihedral groups ⋮ Regular Cayley maps for cyclic groups ⋮ Cyclic complements and skew morphisms of groups. ⋮ Regular \(t\)-balanced Cayley maps on semi-dihedral groups ⋮ Regular Cayley maps on dihedral groups with the smallest kernel ⋮ Smooth skew morphisms of the dihedral groups ⋮ Complete regular dessins and skew-morphisms of cyclic groups ⋮ Smooth skew morphisms of dicyclic groups ⋮ Regular Cayley maps of skew-type 3 for dihedral groups ⋮ A classification of regular Cayley maps with trivial Cayley-core for dihedral groups ⋮ Classification of skew morphisms of cyclic groups which are square roots of automorphisms

Cites Work

• Unnamed Item
• Unnamed Item
• Regular maps from Cayley graphs. I: Balanced Cayley maps
• Regular \(t\)-balanced Cayley maps
• Regular maps from Cayley graphs. II: Antibalanced Cayley maps
• Automorphism groups of Cayley maps
• Skew-morphisms of regular Cayley maps
• Infinitely many one-regular Cayley graphs on dihedral groups of any prescribed valency
• Cayley maps
• Regular balanced Cayley maps for cyclic, dihedral and generalized quaternion groups

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