Optimal Linear Arrangement of Interval Graphs
Identifieur interne : 005416 ( Main/Exploration ); précédent : 005415; suivant : 005417Optimal Linear Arrangement of Interval Graphs
Auteurs : Johanne Cohen [France] ; Fedor Fomin [Norvège] ; Pinar Heggernes [Norvège] ; Dieter Kratsch [France] ; Gregory Kucherov [France]Source :
- Lecture Notes in Computer Science [ 0302-9743 ]
Descripteurs français
- Pascal (Inist)
English descriptors
- KwdEn :
Abstract
Abstract: We study the optimal linear arrangement (OLA) problem on interval graphs. Several linear layout problems that are NP-hard on general graphs are solvable in polynomial time on interval graphs. We prove that, quite surprisingly, optimal linear arrangement of interval graphs is NP-hard. The same result holds for permutation graphs. We present a lower bound and a simple and fast 2-approximation algorithm based on any interval model of the input graph.
Url:
DOI: 10.1007/11821069_24
Affiliations:
- France, Norvège
- Grand Est, Hauts-de-France, Lorraine (région), Nord-Pas-de-Calais
- Metz, Vandœuvre-lès-Nancy, Villeneuve d’Ascq
- Université Paul Verlaine - Metz
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Le document en format XML
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<front><div type="abstract" xml:lang="en">Abstract: We study the optimal linear arrangement (OLA) problem on interval graphs. Several linear layout problems that are NP-hard on general graphs are solvable in polynomial time on interval graphs. We prove that, quite surprisingly, optimal linear arrangement of interval graphs is NP-hard. The same result holds for permutation graphs. We present a lower bound and a simple and fast 2-approximation algorithm based on any interval model of the input graph.</div>
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