Approximating Minimum Multicuts by Evolutionary Multi-objective Algorithms

Date

2008

Authors

Neumann, F.
Reichel, J.

Editors

Rudolph, G.
Jansen, T.
Lucas, S.
Poloni, C.
Beume, N.

Advisors

Journal Title

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Conference paper

Citation

Parallel problem solving from nature - PPSN X : 10th International Conference, Dortmund, Germany, September 13-17, 2008 ; proceedings / Günter Rudolph... [et al.] (eds.), pp.72-81

Statement of Responsibility

Frank Neumann and Joachim Reichel

Conference Name

Conference on Parallel Problem Solving from Nature (10th : 2008 : Dortmund, Germany)

Abstract

It has been shown that simple evolutionary algorithms are able to solve the minimum cut problem in expected polynomial time when using a multi-objective model of the problem. In this paper, we generalize these ideas to the NP-hard minimum multicut problem. Given a set of k terminal pairs, we prove that evolutionary algorithms in combination with a multi-objective model of the problem are able to obtain a k-approximation for this problem in expected polynomial time.

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Dissertation Note

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Description

Also published as a journal article: Lecture notes in computer science, 2008; 5199:72-81

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© Springer-Verlag Berlin Heidelberg 2008

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