LNCS 2764 Asymmetry in kCenter Variants 1st Edition by Inge Li Gortz, Anthony Wirth ISBN 3540380450 9783540380450

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Product details:

ISBN 10: 3540380450

ISBN 13: 9783540380450

Author:  Li Gortz, Anthony Wirth 

LNCS 2764 – Asymmetry in k-Center Variants 1st Edition: 

This paper explores three concepts: the k-center problem, some of its variants, and asymmetry. The k-center problem is a fundamental clustering problem, similar to the k-median problem. Variants of k-center may more accurately model real-life problems than the original formulation. Asymmetry is a significant impediment to approximation in many graph problems, such as k-center, facility location, k-median and the TSP.

We demonstrate an O(log^* n)-approximation algorithm for the asymmetric weightedk-center problem. Here, the vertices have weights and we are given a total budget for opening centers. In the p-neighbor variant each vertex must have p (unweighted) centers nearby: we give an O(log^* k)-bicriteria algorithm using 2k centers, for small p.

Finally, the following three versions of the asymmetric k-center problem we show to be inapproximable: priorityk-center, k-supplier, and outliers with forbidden centers.

 

LNCS 2764 – Asymmetry in k-Center Variants 1st Edition Table of contents:

1 Introduction

2 Definitions

3 Asymmetric k-Center Review

4 Asymmetric Weighted k-Center

5 Asymmetric p-Neighbor k-Center

6 Inapproximability Results

 

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