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GC
2007
Springer
13 years 7 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...
DM
2010
78views more  DM 2010»
13 years 7 months ago
Transitive bislim geometries of gonality 3, Part II: The group theoretic cases
We consider point-line geometries having three points on every line, having three lines through every point (bislim geometries), and containing triangles. We classify such geometr...
Hendrik Van Maldeghem, Valerie Ver Gucht
CIE
2010
Springer
14 years 13 days ago
Approximate Self-assembly of the Sierpinski Triangle
The Tile Assembly Model is a Turing universal model that Winfree introduced in order to study the nanoscale self-assembly of complex (typically aperiodic) DNA crystals. Winfree ex...
Jack H. Lutz, Brad Shutters
ESA
2008
Springer
97views Algorithms» more  ESA 2008»
13 years 9 months ago
The Complexity of Bisectors and Voronoi Diagrams on Realistic Terrains
We prove tight bounds on the complexity of bisectors and Voronoi diagrams on so-called realistic terrains, under the geodesic distance. In particular, if n denotes the number of tr...
Boris Aronov, Mark de Berg, Shripad Thite
CCCG
2004
13 years 9 months ago
On computing enclosing isosceles triangles and related problems
Given a set of n points in the plane, we show how to compute various enclosing isosceles triangles where different parameters such as area or perimeter are optimized. We then stud...
Prosenjit Bose, Carlos Seara, Saurabh Sethia