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Titlebook: Symmetries in Graphs, Maps, and Polytopes; 5th SIGMAP Workshop, Jozef Širáň,Robert Jajcay Conference proceedings 2016 Springer Internationa

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Faithful Embeddings of Planar Graphs on Orientable Closed Surfaces, .. It has been known that every 3-connected planar graph is faithfully embeddable on the sphere. We shall show that every 3-connected planar graph is faithfully embeddable on a suitable orientable closed surface other than the sphere unless it is one of seven exceptions.
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Nilpotent Symmetric Dessins of Class Two,obal orientation. A dessin is regular if its group of colour- and orientation-preserving automorphisms acts regularly on the set of edges, and a regular dessin is symmetric if it admits an external symmetry transposing the vertex colours. The symmetric dessins whose automorphism groups are nilpotent
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