Arc‐transitive maps with underlying Rose Window graphs

DOI10.1002/jgt.22608zbMath1521.05063arXiv1708.01112OpenAlexW3043631866MaRDI QIDQ6055391

Isabel Hubard, Primož Šparl, Alejandra Ramos Rivera

Publication date: 29 September 2023

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

Full work available at URL: https://arxiv.org/abs/1708.01112

zbMATH Keywords

arc-transitive graphconsistent cycle2-orbit maparc-transitive 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

Domination in rose window graphs

Cites Work

• Unnamed Item
• Medial symmetry type graphs
• Rotary polygons in configurations
• Consistent cycles in graphs and digraphs
• Arc-transitive cycle decompositions of tetravalent graphs
• Map operations and \(k\)-orbit maps
• Two-orbit polyhedra from groups
• Rose window graphs underlying rotary maps
• A characterization of a class of symmetric graphs of twice prime valency
• Polytopality of maniplexes
• Finite simple automorphism groups of edge-transitive maps
• Symmetry type graphs of polytopes and maniplexes
• Realizing finite edge-transitive orientable maps
• Classification of edge-transitive rose window graphs
• Edge-transitive maps of low genus
• The automorphism groups of non-edge-transitive rose window graphs
• Rose window graphs
• Locally finite, planar, edge-transitive graphs
• Abstract Regular Polytopes
• A note on a conjecture on consistent cycles