An Approximation Algorithm for l\infty-Fitting Robinson Structures to Distances
Data Structures and Algorithms
2009-02-10 v1 Computational Complexity
Abstract
In this paper, we present a factor 16 approximation algorithm for the following NP-hard distance fitting problem: given a finite set X and a distance d on X, find a Robinsonian distance dR on X minimizing the l\infty-error ||d - dR||\infty = maxx,y\epsilonX {|d(x, y) - dR(x, y)|}. A distance dR on a finite set X is Robinsonian if its matrix can be symmetrically permuted so that its elements do not decrease when moving away from the main diagonal along any row or column. Robinsonian distances generalize ultrametrics, line distances and occur in the seriation problems and in classification.
Cite
@article{arxiv.0902.1261,
title = {An Approximation Algorithm for l\infty-Fitting Robinson Structures to Distances},
author = {Victor Chepoi and M. Seston},
journal= {arXiv preprint arXiv:0902.1261},
year = {2009}
}