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ICALP
2009
Springer
14 years 8 months ago
Tight Bounds for the Cover Time of Multiple Random Walks
We study the cover time of multiple random walks. Given a graph G of n vertices, assume that k independent random walks start from the same vertex. The parameter of interest is the...
Robert Elsässer, Thomas Sauerwald
CSR
2011
Springer
12 years 11 months ago
Improving the Space-Bounded Version of Muchnik's Conditional Complexity Theorem via "Naive" Derandomization
Abstract. Many theorems about Kolmogorov complexity rely on existence of combinatorial objects with specific properties. Usually the probabilistic method gives such objects with b...
Daniil Musatov
STACS
2001
Springer
14 years 4 days ago
Evasiveness of Subgraph Containment and Related Properties
We prove new results on evasiveness of monotone graph properties by extending the techniques of Kahn, Saks, and Sturtevant [Combinatorica, 4 (1984), pp. 297–306]. For the propert...
Amit Chakrabarti, Subhash Khot, Yaoyun Shi
FOCS
2003
IEEE
14 years 1 months ago
Quantum Search of Spatial Regions
: Can Grover’s algorithm speed up search of a physical region—for example a 2-D grid of size √ n × √ n? The problem is that √ n time seems to be needed for each query, j...
Scott Aaronson, Andris Ambainis
EUROCRYPT
2012
Springer
11 years 10 months ago
Decoding Random Binary Linear Codes in 2 n/20: How 1 + 1 = 0 Improves Information Set Decoding
Decoding random linear codes is a well studied problem with many applications in complexity theory and cryptography. The security of almost all coding and LPN/LWE-based schemes rel...
Anja Becker, Antoine Joux, Alexander May, Alexande...