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...
—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...
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...
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...
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...