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COMPGEOM
1991
ACM
14 years 2 months ago
The Two Guards Problem
Given a simple polygon in the plane with two distinguished vertices, s and g, is it possible for two guards to simultaneously walk along the two boundary chains from s to g in suc...
Christian Icking, Rolf Klein
COMPGEOM
1991
ACM
14 years 2 months ago
Polynomial-Size Nonobtuse Triangulation of Polygons
We describe methods for triangulating polygonal regions of the plane so that no triangle has a large angle. Our main result is that a polygon with n sides can be triangulated with...
Marshall W. Bern, David Eppstein
COMPGEOM
1991
ACM
14 years 2 months ago
Arrangements of Segments that Share Endpoints: Single Face Results
We provide new combinatorial bounds on the complexity of a face in an arrangement of segments in the plane. In particular, we show that the complexity of a single face in an arran...
Esther M. Arkin, Dan Halperin, Klara Kedem, Joseph...
COMPGEOM
1991
ACM
14 years 2 months ago
Crossing Families
Given a set of points in the plane, a crossing family is a collection of line segments, each joining two of the points, such that any two line segments intersect internally. Two s...
Boris Aronov, Paul Erdös, Wayne Goddard, Dani...