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Unsolved Problems in Visibility Graphs of Points, Segments and Polygons
Unsolved Problems Visibility Graphs of Points Segments Polygons
2010/12/31
In this survey paper, we present open problems and conjectures on visibility graphs of points, segments and polygons along with necessary backgrounds for understanding them.
Orders induced by segments in floorplan partitions and (2-14-3,3-41-2)-avoiding permutations
Orders induced by segments floorplan partitions
2010/11/1
Floorplan partitions are certain tilings of a rectangle by other rectangles. There are natural ways to order their elements (rectangles and segments). In particular, Ackerman, Barequet, and Pinter st...
We introduce a novel and general approach for digitalization of line segments in the plane that satis es a set of axioms naturally arising from Euclidean axioms. In particular,we show how to derive su...