Self-dual embeddings of K_{4m,4n} in different orientable and nonorientable pseudosurfaces with the same Euler characteristic

A proper embedding of a graph G in a pseudosurface P is an embedding in which the regions of the complement of G in P are homeomorphic to discs and a vertex of G appears at each pinchpoint in P;  we say that a proper embedding of G in P is self dual if there exists an isomorphism from G to its dual...

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Main Authors: Schluchter, Steven; Department of Mathematical Sciences, George Mason University, USA (Author), Schroeder, J. Z.; Mosaic Center Radstock, Kej Bratstvo Edinstvo 45, 1230 Gostivar, Republic of Macedonia (Author)
Format: EJournal Article
Published: GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB, 2017-10-16.
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