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COMBINATORICS
2006
88views more  COMBINATORICS 2006»
13 years 7 months ago
Tilings of the Sphere with Right Triangles I: The Asymptotically Right Families
Sommerville [10] and Davies [2] classified the spherical triangles that can tile the sphere in an edge-to-edge fashion. Relaxing this condition yields other triangles, which tile ...
Robert J. MacG. Dawson, Blair Doyle
SIAMCO
2002
92views more  SIAMCO 2002»
13 years 7 months ago
Numerical Approximations for Stochastic Differential Games
The Markov chain approximation method is a widely used, relatively easy to use, and efficient family of methods for the bulk of stochastic control problems in continuous time, for...
Harold J. Kushner
ESA
2010
Springer
273views Algorithms» more  ESA 2010»
13 years 8 months ago
Minimum Vertex Cover in Rectangle Graphs
We consider the Minimum Vertex Cover problem in intersection graphs of axis-parallel rectangles on the plane. We present two algorithms: The first is an EPTAS for non-crossing rect...
Reuven Bar-Yehuda, Danny Hermelin, Dror Rawitz
JGT
2008
107views more  JGT 2008»
13 years 7 months ago
On planar intersection graphs with forbidden subgraphs
Let C be a family of n compact connected sets in the plane, whose intersection graph G(C) has no complete bipartite subgraph with k vertices in each of its classes. Then G(C) has ...
János Pach, Micha Sharir
STOC
2001
ACM
132views Algorithms» more  STOC 2001»
14 years 7 months ago
Edge isoperimetry and rapid mixing on matroids and geometric Markov chains
We show how to bound the mixing time and log-Sobolev constants of Markov chains by bounding the edge-isoperimetry of their underlying graphs. To do this we use two recent techniqu...
Ravi Montenegro, Jung-Bae Son