85
Voted
STOC
2002
ACM
16 years 29 days ago
2002
ACM
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...
93
Voted
STOC
2002
ACM
16 years 29 days ago
2002
ACM
The collision problem is to decide whether a function X : {1, . . . , n} {1, . . . , n} is one-to-one or two-to-one, given that one of these is the case. We show a lower bound of...
112
Voted
STOC
2003
ACM
16 years 29 days ago
2003
ACM
We present a general approach for designing approximation algorithms for a fundamental class of geometric clustering problems in arbitrary dimensions. More specifically, our appro...
229
Voted
STOC
2003
ACM
16 years 29 days ago
2003
ACM
In dynamic stabbing, we operate on a dynamic set of intervals. A stabbing query asks for an interval containing a given point. This basic problem encodes problems such as method l...
97
Voted
STOC
2003
ACM
16 years 29 days ago
2003
ACM
We construct binary codes for fingerprinting. Our codes for n users that are -secure against c pirates have length O(c2 log(n/ )). This improves the codes proposed by Boneh and Sh...
STOC
2003
ACM
16 years 29 days ago
2003
ACM
92
Voted
STOC
2003
ACM
16 years 29 days ago
2003
ACM
STOC
2003
ACM
16 years 29 days ago
2003
ACM
117
Voted
STOC
2003
ACM
16 years 29 days ago
2003
ACM
Many algorithms and data structures employing hashing have been analyzed under the uniform hashing assumption, i.e., the assumption that hash functions behave like truly random fu...
91
Voted
STOC
2003
ACM
16 years 29 days ago
2003
ACM
A real multivariate polynomial p(x1, . . . , xn) is said to sign-represent a Boolean function f : {0, 1}n {-1, 1} if the sign of p(x) equals f(x) for all inputs x {0, 1}n. We gi...