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FOCS
2009
IEEE
15 years 4 months ago
Choice-Memory Tradeoff in Allocations
In the classical balls-and-bins paradigm, where n balls are placed independently and uniformly in n bins, typically the number of bins with at least two balls in them is Θ(n) and ...
Noga Alon, Eyal Lubetzky, Ori Gurel-Gurevich
ICALP
2005
Springer
15 years 3 months ago
Time-Space Lower Bounds for the Polynomial-Time Hierarchy on Randomized Machines
We establish the first polynomial-strength time-space lower bounds for problems in the lineartime hierarchy on randomized machines with two-sided error. We show that for any inte...
Scott Diehl, Dieter van Melkebeek
PODC
1999
ACM
15 years 2 months ago
Memory Space Requirements for Self-Stabilizing Leader Election Protocols
We study the memory requirements of self-stabilizing leader election (SSLE) protocols. We are mainly interested in two types of systems: anonymous systems and id-based systems. We...
Joffroy Beauquier, Maria Gradinariu, Colette Johne...
FOCS
2008
IEEE
15 years 4 months ago
Spherical Cubes and Rounding in High Dimensions
What is the least surface area of a shape that tiles Rd under translations by Zd ? Any such shape must have volume 1 and hence surface area at least that of the volume-1 ball, nam...
Guy Kindler, Ryan O'Donnell, Anup Rao, Avi Wigders...
FOCS
2008
IEEE
15 years 4 months ago
Hardness of Minimizing and Learning DNF Expressions
We study the problem of finding the minimum size DNF formula for a function f : {0, 1}d → {0, 1} given its truth table. We show that unless NP ⊆ DTIME(npoly(log n) ), there i...
Subhash Khot, Rishi Saket