Self-dual and self-petrie-dual regular maps

DOI10.1002/jgt.20570zbMath1242.05076OpenAlexW1991373546MaRDI QIDQ3113285

Yan Wang, Jozef Širáň, R. Bruce Richter

Publication date: 8 February 2012

Published in: Journal of Graph Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/jgt.20570

zbMATH Keywords

regular maptriangle groupself-dual mapself-Petrie-dual map

Mathematics Subject Classification ID

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

Related Items (6)

New dualities from old: generating geometric, Petrie, and Wilson dualities and trialities of ribbon graphs ⋮ Stratified operations on maniplexes ⋮ Trinity symmetry and kaleidoscopic regular maps ⋮ Medial symmetry type graphs ⋮ Incidence geometries with trialities coming from maps with Wilson trialities ⋮ Variance Groups and the Structure of Mixed Polytopes

Cites Work

• Regular maps and hypermaps of Euler characteristic \(-1\) to \(-200\)
• Operators over regular maps
• The groups \(G^{m,n,p}\).
• Cayley maps
• Triangle group representations and constructions of regular maps
• Belyi Functions, Hypermaps and Galois Groups

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