All reports by Author Claire Kenyon:

__
TR02-041
| 2nd July 2002
__

Wenceslas Fernandez de la Vega, Marek Karpinski, Claire Kenyon#### A Polynomial Time Approximation Scheme for Metric MIN-BISECTION

__
TR02-025
| 26th April 2002
__

Wenceslas Fernandez de la Vega, Marek Karpinski, Claire Kenyon, Yuval Rabani#### Polynomial Time Approximation Schemes for Metric Min-Sum Clustering

Wenceslas Fernandez de la Vega, Marek Karpinski, Claire Kenyon

We design a polynomial time approximation scheme (PTAS) for

the problem of Metric MIN-BISECTION of dividing a given finite metric

space into two halves so as to minimize the sum of distances across

that partition. The method of solution depends on a new metric placement

partitioning ...
more >>>

Wenceslas Fernandez de la Vega, Marek Karpinski, Claire Kenyon, Yuval Rabani

We give polynomial time approximation schemes for the problem

of partitioning an input set of n points into a fixed number

k of clusters so as to minimize the sum over all clusters of

the total pairwise distances in a cluster. Our algorithms work

for arbitrary metric spaces as well ...
more >>>