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» Multiple Coverings of the Plane with Triangles
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DCG
2007
55views more  DCG 2007»
14 years 10 months ago
Multiple Coverings of the Plane with Triangles
Gábor Tardos, Géza Tóth
GC
2007
Springer
14 years 10 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...
SODA
2004
ACM
80views Algorithms» more  SODA 2004»
14 years 11 months ago
Output-sensitive construction of the union of triangles
We present an efficient algorithm for the following problem: Given a collection T = {1, . . . , n} of n triangles in the plane, such that there exists a subset S T (unknown to us)...
Eti Ezra, Micha Sharir
COMPGEOM
2009
ACM
15 years 4 months ago
Epsilon nets and union complexity
We consider the following combinatorial problem: given a set of n objects (for example, disks in the plane, triangles), and an integer L ≥ 1, what is the size of the smallest su...
Kasturi R. Varadarajan
CEC
2007
IEEE
15 years 4 months ago
A fractal representation for real optimization
— The chaos game, in which a moving point is repeatedly averaged toward randomly selected vertices of a triangle, is one method of generating the fractal called the Sierpinski tr...
Daniel A. Ashlock, Justin Schonfeld