B. Mohar and P. Rosenstiehl. A ow approach to upward drawings of toroidal maps. In proc. of Graph Drawing '94, pages 33-39, 1995. Home/Search Document Not in Database Summary Related Articles |
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The Reduced Genus of a Multigraph - de Mendez (1999) (Correct)
....by vertical line segments, and such that: no two horizontal (resp. vertical) segments intersect, no two segment cross, an edge is incident to a vertex if and only if the corresponding segments touch each other. This theorem has been extended to toroidal visibility representations (see [20]) This representation may be extended to planar hypergraphs and (up to a reformulation of the original theorem) we get: Theorem (de Fraysseix, Ossona de Mendez, Pach [8] A hypergraph is planar if and only if it has a visibility representation , that is a representation in which the vertices ....
B. Mohar and P. Rosenstiehl. A ow approach to upward drawings of toroidal maps. In proc. of Graph Drawing '94, pages 33-39, 1995.
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