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Electronic Colloquium on Computational Complexity

Under the auspices of the Computational Complexity Foundation (CCF)

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Reports tagged with Euclidean Spaces:
TR96-046 | 27th August 1996
Luca Trevisan

On the Approximability of the Multi-dimensional Euclidean TSP

Revisions: 1

We consider the Traveling Salesperson Problem (TSP) restricted
to Euclidean spaces of dimension at most k(n), where n is the number of
cities. We are interested in the relation between the asymptotic growth of
k(n) and the approximability of the problem. We show that the problem is ... more >>>

TR02-041 | 2nd July 2002
Wenceslas Fernandez de la Vega, Marek Karpinski, Claire Kenyon

A Polynomial Time Approximation Scheme for Metric MIN-BISECTION

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 >>>

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