Regular homomorphisms and regular maps

DOI10.1006/eujc.2002.0568zbMath1007.05062OpenAlexW2038213119MaRDI QIDQ697081

Roman Nedela, Martin Škoviera, Aleksander Malnič

Publication date: 12 September 2002

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

Full work available at URL: https://doi.org/10.1006/eujc.2002.0568

zbMATH Keywords

voltage assignmentmap automorphisms

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (12)

Classification of regular embeddings of hypercubes of odd dimension ⋮ On split liftings with sectional complements ⋮ Regular maps of graphs of order \(4p\) ⋮ A subquadratic algorithm for the simultaneous conjugacy problem ⋮ Homomorphisms between graphs embedded in surfaces ⋮ Branched cyclic regular coverings over Platonic maps ⋮ \(F\)-actions and parallel-product decomposition of reflexible maps ⋮ Non-abelian almost totally branched coverings over the Platonic maps ⋮ Lifting graph automorphisms along solvable regular covers ⋮ Enumeration of unrooted maps of a given genus ⋮ The simultaneous conjugacy problem in the symmetric group ⋮ Archimedean maps of higher genera

Cites Work

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• Regular maps from Cayley graphs. I: Balanced Cayley maps
• Components of branched coverings of current graphs
• Automorphism groups of Cayley maps
• Skew-morphisms of regular Cayley maps
• Action graphs and coverings
• Regular maps from voltage assignments and exponent groups
• Automorphisms of graphs and coverings
• Lifting graph automorphisms by voltage assignments
• Lifting map automorphisms and MacBeath's theorem
• Cayley maps
• Theory of Maps on Orientable Surfaces
• On a Theorem of Hurwitz

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