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COCO
2009
Springer
119views Algorithms» more  COCO 2009»
14 years 4 months ago
An Approximation Algorithm for Approximation Rank
One of the strongest techniques available for showing lower bounds on quantum communication complexity is the logarithm of the approximation rank of the communication matrix— th...
Troy Lee, Adi Shraibman
COCO
2009
Springer
128views Algorithms» more  COCO 2009»
14 years 4 months ago
An Almost Optimal Rank Bound for Depth-3 Identities
—We show that the rank of a depth-3 circuit (over any field) that is simple, minimal and zero is at most O(k3 log d). The previous best rank bound known was 2O(k2 ) (log d)k−2...
Nitin Saxena, C. Seshadhri
ISSAC
2005
Springer
115views Mathematics» more  ISSAC 2005»
14 years 3 months ago
Algorithms for the non-monic case of the sparse modular GCD algorithm
Let G = (4y2 + 2z)x2 + (10y2 + 6z) be the greatest common divisor (gcd) of two polynomials A, B ∈   [x,y, z]. Because G is not monic in the main variable x, the sparse modular ...
Jennifer de Kleine, Michael B. Monagan, Allan D. W...
FSTTCS
1993
Springer
14 years 1 months ago
Compact Location Problems
We investigate the complexity and approximability of some location problems when two distance values are specified for each pair of potential sites. These problems involve the se...
Venkatesh Radhakrishnan, Sven Oliver Krumke, Madha...
CORR
2010
Springer
147views Education» more  CORR 2010»
13 years 10 months ago
Single Parameter Combinatorial Auctions with Partially Public Valuations
We consider the problem of designing truthful auctions, when the bidders' valuations have a public and a private component. In particular, we consider combinatorial auctions w...
Gagan Goel, Chinmay Karande, Lei Wang