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FOCS
2004
IEEE
13 years 9 months ago
An Optimal Randomised Cell Probe Lower Bound for Approximate Nearest Neighbour Searching
We consider the approximate nearest neighbour search problem on the Hamming cube {0, 1}d. We show that a randomised cell probe algorithm that uses polynomial storage and word size...
Amit Chakrabarti, Oded Regev
SIGMOD
2004
ACM
126views Database» more  SIGMOD 2004»
14 years 6 months ago
Indexing Spatio-Temporal Trajectories with Chebyshev Polynomials
In this paper, we attempt to approximate and index a ddimensional (d 1) spatio-temporal trajectory with a low order continuous polynomial. There are many possible ways to choose ...
Yuhan Cai, Raymond T. Ng
AAECC
2003
Springer
104views Algorithms» more  AAECC 2003»
13 years 9 months ago
Interpolation of the Elliptic Curve Diffie-Hellman Mapping
Abstract. We prove lower bounds on the degree of polynomials interpolating the Diffie
Tanja Lange, Arne Winterhof
FOCS
2002
IEEE
13 years 11 months ago
A Lower Bound for Testing 3-Colorability in Bounded-Degree Graphs
We consider the problem of testing 3-colorability in the bounded-degree model. We show that, for small enough ε, every tester for 3colorability must have query complexity Ω(n)....
Andrej Bogdanov, Kenji Obata, Luca Trevisan
MOC
2002
149views more  MOC 2002»
13 years 5 months ago
Sparse squares of polynomials
We answer a question left open in an article of Coppersmith and Davenport which proved the existence of polynomials whose powers are sparse, and in particular polynomials whose squ...
John Abbott