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2008
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13 years 9 months ago
Maximal repetitions in strings
The cornerstone of any algorithm computing all repetitions in strings of length n in O(n) time is the fact that the number of maximal repetitions (runs) is linear. Therefore, the ...
Maxime Crochemore, Lucian Ilie
FOCS
2008
IEEE
14 years 4 months ago
A Counterexample to Strong Parallel Repetition
The parallel repetition theorem states that for any two-prover game, with value 1 − (for, say, ≤ 1/2), the value of the game repeated in parallel n times is at most (1 − c)â...
Ran Raz
FOCS
2008
IEEE
14 years 4 months ago
Clock Synchronization with Bounded Global and Local Skew
We present a distributed clock synchronization algorithm that guarantees an exponentially improved bound of O(log D) on the clock skew between neighboring nodes in any graph G of ...
Christoph Lenzen, Thomas Locher, Roger Wattenhofer
FOCS
2008
IEEE
14 years 4 months ago
Some Results on Greedy Embeddings in Metric Spaces
Geographic Routing is a family of routing algorithms that uses geographic point locations as addresses for the purposes of routing. Such routing algorithms have proven to be both ...
Ankur Moitra, Tom Leighton
FOCS
2008
IEEE
14 years 4 months ago
Lower Bounds for Noisy Wireless Networks using Sampling Algorithms
We show a tight lower bound of Ω(N log log N) on the number of transmissions required to compute several functions (including the parity function and the majority function) in a...
Chinmoy Dutta, Jaikumar Radhakrishnan