Realizing finite edge-transitive orientable maps
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Publication:2725047
DOI10.1002/jgt.1000zbMath0989.05027OpenAlexW4242606596MaRDI QIDQ2725047
Thomas W. Tucker, Mark E. Watkins, Jozef Širáň
Publication date: 14 July 2002
Published in: Journal of Graph Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/jgt.1000
Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)
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Observations and answers to questions about edge-transitive maps ⋮ Edge-transitive embeddings of complete graphs ⋮ The graphs with a symmetrical Euler cycle ⋮ Symmetries of Maps on Surfaces ⋮ Finite simple automorphism groups of edge-transitive maps ⋮ Covalence sequences of planar vertex-homogeneous maps ⋮ Tetravalent edge-transitive graphs of girth at most 4 ⋮ On a canonical construction of tessellated surfaces from finite groups ⋮ Regular pseudo-oriented maps and hypermaps of low genus ⋮ Vertex-transitive maps with Schläfli type \(\{3,7\}\) ⋮ Symmetries of equivelar 4-toroids ⋮ Medial symmetry type graphs ⋮ Arc‐transitive maps with underlying Rose Window graphs ⋮ Conjugacy classes of reflections of maps ⋮ Highly symmetric maps on surfaces with boundary ⋮ Edge-transitive uniface embeddings of bipartite multi-graphs ⋮ Archimedean toroidal maps and their edge covers ⋮ Edge-transitive bi-Cayley graphs ⋮ Recipes for edge-transitive tetravalent graphs ⋮ Unnamed Item ⋮ \(F\)-actions and parallel-product decomposition of reflexible maps ⋮ Circular regular dessins ⋮ Complete bipartite multi-graphs with a unique regular dessin ⋮ Map operations and \(k\)-orbit maps ⋮ Two-orbit polyhedra from groups ⋮ Vertex-faithful regular polyhedra ⋮ Operations on oriented maps ⋮ Hereditary Polytopes ⋮ Symmetry type graphs of polytopes and maniplexes
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