Rose window graphs underlying rotary maps

DOI10.1016/j.disc.2009.12.010zbMath1198.05091OpenAlexW2155473605MaRDI QIDQ973159

János Ruff, István Kovács, Klavdija Kutnar

Publication date: 28 May 2010

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2009.12.010

zbMATH Keywords

voltage graphedge-transitive graphcovering graphrotary maprose window graph

Mathematics Subject Classification ID

Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (8)

Characterization of edge-transitive 4-valent bicirculants ⋮ Arc‐transitive maps with underlying Rose Window graphs ⋮ On tetravalent half-arc-transitive graphs of girth 5 ⋮ The isomorphism problem for rose window graphs ⋮ Half-arc-transitive group actions with a small number of alternets ⋮ Tetravalent arc-transitive locally-Klein graphs with long consistent cycles ⋮ Domination in rose window graphs ⋮ Classification of edge-transitive rose window graphs

Uses Software

• Magma

Cites Work

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• Elementary abelian covers of graphs
• Consistent cycles in graphs and digraphs
• Operators over regular maps
• Generating all graph coverings by permutation voltage assignments
• The Magma algebra system. I: The user language
• Group actions, coverings and lifts of automorphisms
• Classification of edge-transitive rose window graphs
• Rose window graphs
• Characterisation of Graphs which Underlie Regular Maps on Closed Surfaces

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