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FOCS
2004
IEEE
14 years 3 months ago
Randomly Coloring Constant Degree Graphs
We study a simple Markov chain, known as the Glauber dynamics, for generating a random k-coloring of a n-vertex graph with maximum degree . We prove that, for every > 0, the d...
Martin E. Dyer, Alan M. Frieze, Thomas P. Hayes, E...
FOCS
2004
IEEE
14 years 3 months ago
On the (Im)possibility of Cryptography with Imperfect Randomness
We investigate the feasibility of a variety of cryptographic tasks with imperfect randomness. The kind of imperfect randomness we consider are entropy sources, such as those consi...
Yevgeniy Dodis, Shien Jin Ong, Manoj Prabhakaran, ...
FOCS
2004
IEEE
14 years 3 months ago
Assignment Testers: Towards a Combinatorial Proof of the PCP-Theorem
In this work we look back into the proof of the PCP Theorem, with the goal of finding new proofs that are "more combinatorial" and arguably simpler. For that we introduc...
Irit Dinur, Omer Reingold
FOCS
2004
IEEE
14 years 3 months ago
Dynamic Optimality -- Almost
We present an O(lg lg n)-competitive online binary search tree, improving upon the best previous (trivial) competitive ratio of O(lg n). This is the first major progress on Sleator...
Erik D. Demaine, Dion Harmon, John Iacono, Mihai P...
FOCS
2004
IEEE
14 years 3 months ago
Approximating the Stochastic Knapsack Problem: The Benefit of Adaptivity
We consider a stochastic variant of the NP-hard 0/1 knapsack problem in which item values are deterministic and item sizes are independent random variables with known, arbitrary d...
Brian C. Dean, Michel X. Goemans, Jan Vondrá...
FOCS
2004
IEEE
14 years 3 months ago
The Hardness of Metric Labeling
The Metric Labeling problem is an elegant and powerful mathematical model capturing a wide range of classification problems. The input to the problem consists of a set of labels a...
Julia Chuzhoy, Joseph Naor
FOCS
2004
IEEE
14 years 3 months ago
Machine Minimization for Scheduling Jobs with Interval Constraints
Julia Chuzhoy, Sudipto Guha, Sanjeev Khanna, Josep...
FOCS
2004
IEEE
14 years 3 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
FOCS
2004
IEEE
14 years 3 months ago
Edge-Disjoint Paths in Planar Graphs
We study the maximum edge-disjoint paths problem in undirected planar graphs: given a graph G and node pairs (demands) s1t1, s2t2, . . ., sktk, the goal is to maximize the number ...
Chandra Chekuri, Sanjeev Khanna, F. Bruce Shepherd
FOCS
2004
IEEE
14 years 3 months ago
Learning with Errors in Answers to Membership Queries
We study the learning models defined in [AKST97]: Learning with equivalence and limited membership queries and learning with equivalence and malicious membership queries. We show ...
Laurence Bisht, Nader H. Bshouty, Lawrance Khoury