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STOC
2002
ACM
121views Algorithms» more  STOC 2002»
14 years 10 months ago
Almost all graphs with average degree 4 are 3-colorable
We analyze a randomized version of the Brelaz heuristic on sparse random graphs. We prove that almost all graphs with average degree dp4:03; i.e., G?n; p ? d=n?; are 3-colorable a...
Dimitris Achlioptas, Cristopher Moore
STOC
2003
ACM
118views Algorithms» more  STOC 2003»
14 years 10 months ago
A proof of Alon's second eigenvalue conjecture
A d-regular graph has largest or first (adjacency matrix) eigenvalue 1 = d. In this paper we show the following conjecture of Alon. Fix an integer d > 2 and a real > 0. Then...
Joel Friedman
STOC
2003
ACM
116views Algorithms» more  STOC 2003»
14 years 3 months ago
New lattice based cryptographic constructions
We introduce the use of Fourier analysis on lattices as an integral part of a lattice based construction. The tools we develop provide an elegant description of certain Gaussian d...
Oded Regev
STOC
2003
ACM
153views Algorithms» more  STOC 2003»
14 years 10 months ago
Sublinear geometric algorithms
We initiate an investigation of sublinear algorithms for geometric problems in two and three dimensions. We give optimal algorithms for intersection detection of convex polygons a...
Bernard Chazelle, Ding Liu, Avner Magen
STOC
2003
ACM
98views Algorithms» more  STOC 2003»
14 years 10 months ago
A sublinear algorithm for weakly approximating edit distance
We show how to determine whether the edit distance between two given strings is small in sublinear time. Specifically, we present a test which, given two n-character strings A and...
Tugkan Batu, Funda Ergün, Joe Kilian, Avner M...