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FOCS
2009
IEEE
16 years 1 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 12 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 10 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
16 years 25 days 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
16 years 25 days 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