Regular maps with simple underlying graphs

DOI10.1016/j.jctb.2014.07.001zbMath1302.05039OpenAlexW1979242016MaRDI QIDQ473095

Jicheng Ma, Marston D. E. Conder

Publication date: 21 November 2014

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jctb.2014.07.001

zbMATH Keywords

regular mapgenus spectrumsimple underlying graph

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10)

Related Items (5)

Observations and answers to questions about edge-transitive maps ⋮ Regular maps of 2-power order ⋮ The intersection condition for regular polytopes ⋮ Chiral maps of given hyperbolic type ⋮ Orientably-regular maps of Euler characteristic \(- 2p^2\)

Uses Software

• Magma

Cites Work

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• The genera, reflexibility and simplicity of regular maps
• Regular maps and hypermaps of Euler characteristic \(-1\) to \(-200\)
• The Magma algebra system. I: The user language
• Determination of all regular maps of small genus
• Regular maps on non-orientable surfaces
• Regular cyclic coverings of the Platonic maps
• Arc-transitive abelian regular covers of cubic graphs
• A Family of Regular Maps of Type {6, 6}
• A note on Wiman and Accola-Maclachlan surfaces
• A Bound for the Number of Automorphisms of a Compact Riemann Surface

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