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COCO
2005
Springer
128views Algorithms» more  COCO 2005»
14 years 2 months ago
More on Noncommutative Polynomial Identity Testing
We continue the study of noncommutative polynomial identity testing initiated by Raz and Shpilka and present efficient algorithms for the following problems in the noncommutative...
Andrej Bogdanov, Hoeteck Wee
CSR
2008
Springer
13 years 8 months ago
Colouring, constraint satisfaction, and complexity
Constraint satisfaction problems have enjoyed much attention since the early seventies, and in the last decade have become also a focus of attention amongst theoreticians. Graph c...
Pavol Hell, Jaroslav Nesetril
SODA
2004
ACM
104views Algorithms» more  SODA 2004»
13 years 10 months ago
Tight bounds for the partial-sums problem
We close the gaps between known lower and upper bounds for the online partial-sums problem in the RAM and group models of computation. If elements are chosen from an abstract grou...
Mihai Patrascu, Erik D. Demaine
STOC
2005
ACM
132views Algorithms» more  STOC 2005»
14 years 9 months ago
Locally decodable codes with 2 queries and polynomial identity testing for depth 3 circuits
In this work we study two, seemingly unrelated, notions. Locally Decodable Codes (LDCs) are codes that allow the recovery of each message bit from a constant number of entries of ...
Zeev Dvir, Amir Shpilka
ISSAC
2005
Springer
105views Mathematics» more  ISSAC 2005»
14 years 2 months ago
Computing the rank and a small nullspace basis of a polynomial matrix
We reduce the problem of computing the rank and a nullspace basis of a univariate polynomial matrix to polynomial matrix multiplication. For an input n×n matrix of degree d over ...
Arne Storjohann, Gilles Villard