Edge-transitive uniface embeddings of bipartite multi-graphs

It is shown that a bipartite multi-graph Γ has an orientably edge-transitive embedding with a single face if and only if Γ = K m , n ( λ ) such that gcd ( m , n ) = 1 and mn is even whenever λ is even. A consequence of this shows that each orientable surface carries a simple edge-transitive map with...

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Veröffentlicht in:	Journal of algebraic combinatorics 2019-03, Vol.49 (2), p.125-134
Hauptverfasser:	Fan, Wenwen, Li, Cai Heng, Wang, Naer
Format:	Artikel
Sprache:	eng
Schlagworte:	Alliances Combinatorics Computer Science Convex and Discrete Geometry Graph theory Group Theory and Generalizations Lattices Mathematics Mathematics and Statistics Order Ordered Algebraic Structures
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