CC
2007
Springer
13 years 4 months ago
2007
Springer
CC
2006
Springer
13 years 4 months ago
2006
Springer
Abstract. We study the complexity of the isomorphism and automorphism problems for finite rings. We show that both integer factorization and graph isomorphism reduce to the problem...
CC
2006
Springer
13 years 4 months ago
2006
Springer
We improve upon indirect diagonalization arguments for lower bounds on explicit problems within the polynomial hierarchy. Our contributions are summarized as follows.
CC
2006
Springer
13 years 4 months ago
2006
Springer
Variants of Kannan's Theorem are given where the circuits of the original theorem are replaced by arbitrary recursively presentable classes of languages that use advice string...
CC
2006
Springer
13 years 4 months ago
2006
Springer
The sum of a coloring is the sum of the colors assigned to the vertices (assuming that the colors are positive integers). The sum (G) of graph G is the smallest sum that can be ach...
CC
2006
Springer
13 years 4 months ago
2006
Springer
CC
2006
Springer
13 years 4 months ago
2006
Springer
Given a k-uniform hypergraph, the Maximum k-Set Packing problem is to find the maximum disjoint set of edges. We prove that this problem cannot be efficiently approximated to with...
CC
2006
Springer
13 years 4 months ago
2006
Springer
We show that any 1-round 2-server Private Information Retrieval Protocol where the answers are 1-bit long must ask questions that are at least n - 2 bits long, which is nearly equa...
CC
2008
Springer
13 years 4 months ago
2008
Springer
We prove a version of the derandomized Direct Product lemma for deterministic space-bounded algorithms. Suppose a Boolean function g : {0, 1}n {0, 1} cannot be computed on more th...
CC
2008
Springer
13 years 4 months ago
2008
Springer
