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STOC
2001
ACM
132views Algorithms» more  STOC 2001»
16 years 6 days 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
STOC
2001
ACM
119views Algorithms» more  STOC 2001»
16 years 6 days ago
Complex tilings
Two infinite families of self-similar tilings are described which have apparently not been reported before. Each tiling is based on a single prototile that is a segment of a regul...
Bruno Durand, Leonid A. Levin, Alexander Shen
STOC
2002
ACM
99views Algorithms» more  STOC 2002»
16 years 6 days ago
Recognizing string graphs in NP
A string graph is the intersection graph of a set of curves in the plane. Each curve is represented by a vertex, and an edge between two vertices means that the corresponding curv...
Marcus Schaefer, Eric Sedgwick, Daniel Stefankovic
COCO
2006
Springer
88views Algorithms» more  COCO 2006»
15 years 1 months ago
Polynomial Identity Testing for Depth 3 Circuits
We study the identity testing problem for depth 3 arithmetic circuits ( circuit). We give the first deterministic polynomial time identity test for circuits with bounded top fanin...
Neeraj Kayal, Nitin Saxena
77
Voted
STOC
2001
ACM
97views Algorithms» more  STOC 2001»
16 years 6 days ago
Sharp threshold and scaling window for the integer partitioning problem
We consider the problem of partitioning n integers chosen randomly between 1 and 2m into two subsets such that the discrepancy, the absolute value of the difference of their sums,...
Christian Borgs, Jennifer T. Chayes, Boris Pittel