A classification of regular \(t\)-balanced Cayley maps on \(\mathbb{Z}_2\)-extensions of a cyclic 2-group

DOI10.4134/bkms.b230156MaRDI QIDQ6654993

Young Soo Kwon, Jihye Park

Publication date: 20 December 2024

Published in: Bulletin of the Korean Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Cayley map\(t\)-balanced Cayley map\(\mathbb{Z}_2\)-extensions of a cyclic group

Mathematics Subject Classification ID

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

Cites Work

• Title not available (Why is that?)
• Regular maps from Cayley graphs. I: Balanced Cayley maps
• A classification of regular \(t\)-balanced Cayley maps on dihedral groups
• Regular \(t\)-balanced Cayley maps
• A classification of regular \(t\)-balanced Cayley maps on dicyclic groups
• Regular \(t\)-balanced Cayley maps on semi-dihedral groups
• Regular maps from Cayley graphs. II: Antibalanced Cayley maps
• Automorphism groups of Cayley maps
• Skew-morphisms of regular Cayley maps
• A classification of regular \(t\)-balanced Cayley maps for cyclic groups
• Cayley maps
• Regular balanced Cayley maps for cyclic, dihedral and generalized quaternion groups
• Regular maps---combinatorial objects relating different fields of mathematics
• Enumerating regular graph coverings whose covering transformation groups are ℤ_2-extensions of a cyclic group

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