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FOCS
2000
IEEE
15 years 11 months ago
A polylogarithmic approximation of the minimum bisection
A bisection of a graph with n vertices is a partition of its vertices into two sets, each of size n/2. The bisection cost is the number of edges connecting the two sets. The proble...
Uriel Feige, Robert Krauthgamer
FOCS
1999
IEEE
15 years 11 months ago
A Sublinear Time Approximation Scheme for Clustering in Metric Spaces
The metric 2-clustering problem is de ned as follows: given a metric (X;d), partition X into two sets S1 and S2 in order to minimize the value of X i X fu;vg Si d(u;v) In this pap...
Piotr Indyk
RANDOM
1998
Springer
15 years 11 months ago
Disjoint Paths in Expander Graphs via Random Walks: A Short Survey
There has been a significant amount of research lately on solving the edge disjoint path and related problems on expander graphs. We review the random walk approach of Broder, Fri...
Alan M. Frieze
RANDOM
1998
Springer
15 years 11 months ago
"Balls into Bins" - A Simple and Tight Analysis
Suppose we sequentially throw m balls into n bins. It is a natural question to ask for the maximum number of balls in any bin. In this paper we shall derive sharp upper and lower b...
Martin Raab, Angelika Steger
TLCA
1993
Springer
15 years 10 months ago
Program Extraction from Normalization Proofs
This paper describes formalizations of Tait’s normalization proof for the simply typed λ-calculus in the proof assistants Minlog, Coq and Isabelle/HOL. From the formal proofs p...
Ulrich Berger