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» Radial Perfect Partitions of Convex Sets in the Plane
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JCDCG
1998
Springer
15 years 1 months ago
Radial Perfect Partitions of Convex Sets in the Plane
In this paper we study the following problem: how to divide a cake among the children attending a birthday party such that all the children get the same amount of cake and the same...
Jin Akiyama, Atsushi Kaneko, Mikio Kano, Gisaku Na...
GD
2004
Springer
15 years 3 months ago
Partitions of Complete Geometric Graphs into Plane Trees
Consider the following question: does every complete geometric graph K2n have a partition of its edge set into n plane spanning trees? We approach this problem from three directio...
Prosenjit Bose, Ferran Hurtado, Eduardo Rivera-Cam...
GC
2007
Springer
14 years 9 months ago
Decompositions, Partitions, and Coverings with Convex Polygons and Pseudo-Triangles
We propose a novel subdivision of the plane that consists of both convex polygons and pseudotriangles. This pseudo-convex decomposition is significantly sparser than either conve...
Oswin Aichholzer, Clemens Huemer, S. Kappes, Betti...
CCCG
2007
14 years 11 months ago
Disjoint Segments Have Convex Partitions with 2-Edge Connected Dual Graphs
The empty space around n disjoint line segments in the plane can be partitioned into n + 1 convex faces by extending the segments in some order. The dual graph of such a partition...
Nadia Benbernou, Erik D. Demaine, Martin L. Demain...
FSTTCS
2007
Springer
15 years 3 months ago
Triangulations of Line Segment Sets in the Plane
Given a set S of line segments in the plane, we introduce a new family of partitions of the convex hull of S called segment triangulations of S. The set of faces of such a triangul...
Mathieu Brévilliers, Nicolas Chevallier, Do...