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FOCS
2006
IEEE
14 years 2 months ago
Inclusion--Exclusion Algorithms for Counting Set Partitions
Given an n-element set U and a family of subsets S ⊆ 2U we show how to count the number of k-partitions S1 ∪ · · · ∪ Sk = U into subsets Si ∈ S in time 2nnO(1). The only...
Andreas Björklund, Thore Husfeldt
COCO
2009
Springer
117views Algorithms» more  COCO 2009»
14 years 2 months ago
The Proof Complexity of Polynomial Identities
Devising an efficient deterministic – or even a nondeterministic sub-exponential time – algorithm for testing polynomial identities is a fundamental problem in algebraic comp...
Pavel Hrubes, Iddo Tzameret
FOCS
2006
IEEE
14 years 2 months ago
Explicit Exclusive Set Systems with Applications to Broadcast Encryption
A family of subsets C of [n] def = {1, . . . , n} is (r, t)exclusive if for every S ⊂ [n] of size at least n − r, there exist S1, . . . , St ∈ C with S = S1∪S2∪· · · ...
Craig Gentry, Zulfikar Ramzan, David P. Woodruff
FOCS
1997
IEEE
14 years 17 days ago
General Dynamic Routing with Per-Packet Delay Guarantees of O(distance + 1 / session rate)
A central issue in the design of modern communication networks is that of providing performance guarantees. This issue is particularly important if the networks support real-time t...
Matthew Andrews, Antonio Fernández, Mor Har...
FOCS
2006
IEEE
14 years 2 months ago
Near-Optimal Hashing Algorithms for Approximate Nearest Neighbor in High Dimensions
We present an algorithm for the c-approximate nearest neighbor problem in a d-dimensional Euclidean space, achieving query time of O(dn1/c2 +o(1) ) and space O(dn + n1+1/c2 +o(1) ...
Alexandr Andoni, Piotr Indyk