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» Some Lower Bounds on Geometric Separability Problems
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SODA
2010
ACM
185views Algorithms» more  SODA 2010»
14 years 10 months ago
Solving MAX-r-SAT Above a Tight Lower Bound
We present an exact algorithm that decides, for every fixed r ≥ 2 in time O(m) + 2O(k2 ) whether a given multiset of m clauses of size r admits a truth assignment that satisfi...
Noga Alon, Gregory Gutin, Eun Jung Kim, Stefan Sze...
ACSC
2005
IEEE
15 years 5 months ago
Large k-Separated Matchings of Random Regular Graphs
A k-separated matching in a graph is a set of edges at distance at least k from one another (hence, for instance, a 1-separated matching is just a matching in the classical sense)...
Mihalis Beis, William Duckworth, Michele Zito
CP
2001
Springer
15 years 4 months ago
A General Scheme for Multiple Lower Bound Computation in Constraint Optimization
Abstract. Computing lower bounds to the best-cost extension of a tuple is an ubiquous task in constraint optimization. A particular case of special interest is the computation of l...
Rina Dechter, Kalev Kask, Javier Larrosa
CORR
2004
Springer
103views Education» more  CORR 2004»
14 years 11 months ago
The Freeze-Tag Problem: How to Wake Up a Swarm of Robots
An optimization problem that naturally arises in the study of swarm robotics is the Freeze-Tag Problem (FTP) of how to awaken a set of "asleep" robots, by having an awak...
Esther M. Arkin, Michael A. Bender, Sándor ...
COMPGEOM
2009
ACM
15 years 4 months ago
k-means requires exponentially many iterations even in the plane
The k-means algorithm is a well-known method for partitioning n points that lie in the d-dimensional space into k clusters. Its main features are simplicity and speed in practice....
Andrea Vattani