Regular balanced Cayley maps for cyclic, dihedral and generalized quaternion groups

DOI10.1007/S10114-004-0455-7zbMath1081.05045OpenAlexW2005249045MaRDI QIDQ2581204

Yan Wang, Rong Quan Feng

Publication date: 9 January 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0455-7

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 (21)

A classification of regular \(t\)-balanced Cayley maps on dihedral groups ⋮ On the skew-morphisms of dihedral groups ⋮ Regular maps of graphs of order \(4p\) ⋮ 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 ⋮ On the edge-forwarding indices of Frobenius graphs ⋮ Regular \(t\)-balanced Cayley maps for Abelian groups ⋮ On dihedrants admitting arc-regular group actions ⋮ Regular balanced Cayley maps on nonabelian metacyclic groups of odd order ⋮ A classification of skew morphisms of dihedral groups ⋮ Regular Cayley maps of skew-type 3 for abelian groups ⋮ A classification of regular \(t\)-balanced Cayley maps on dicyclic groups ⋮ Regular Cayley maps for dihedral groups ⋮ Regular Cayley maps for cyclic groups ⋮ Regular \(t\)-balanced Cayley maps on semi-dihedral groups ⋮ Regular balanced Cayley maps on \(\operatorname{PSL}(2,p)\) ⋮ Regular Cayley maps on dihedral groups with the smallest kernel ⋮ Smooth skew morphisms of the dihedral groups ⋮ Regular Cayley maps of skew-type 3 for dihedral groups ⋮ A classification of regular Cayley maps with trivial Cayley-core for dihedral groups

Cites Work

• Unnamed Item
• Regular maps from Cayley graphs. I: Balanced Cayley maps
• Automorphism groups of Cayley maps
• Skew-morphisms of regular Cayley maps
• Characterization and construction of Cayley graphs admitting regular Cayley maps
• Cayley maps

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