Tessellation and Visibility Representations of Maps on the Torus
نویسندگان
چکیده
The model of the torus as a parallelogram in the plane with opposite sides identiied enables us to deene two families of parallel lines and to tessellate the torus, then to associate to each tessellation a toroidal map with an upward drawing. It is proved that a toroidal map has a tessellation representation if and only if its universal cover is 2-connected. Those graphs that admit such an embedding in the torus are characterized.
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ورودعنوان ژورنال:
- Discrete & Computational Geometry
دوره 19 شماره
صفحات -
تاریخ انتشار 1998