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STOC
2001
ACM
15 years 10 months ago
2001
ACM
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...
STOC
2001
ACM
15 years 10 months ago
2001
ACM
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...
STOC
2002
ACM
15 years 10 months ago
2002
ACM
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...
COCO
2006
Springer
14 years 11 months ago
2006
Springer
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...
STOC
2001
ACM
15 years 10 months ago
2001
ACM
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,...