Tractable Parameterizations for the Minimum Linear Arrangement Problem

Michael R. Fellows; Dan Hermelin; Frances A. Rosamond; Hadas Shachnai

doi:https://doi.org/10.1007/978-3-642-40450-4_39

Tractable Parameterizations for the Minimum Linear Arrangement Problem

Michael R. Fellows, Dan Hermelin, Frances A. Rosamond, Hadas Shachnai

Ben-Gurion University of the Negev, Technion - Israel Institute of Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

The Minimum Linear Arrangement (MLA) problem asks to embed a given graph on the integer line so that the sum of the edge lengths of the embedded graph is minimized. Most layout problems are either intractable, or not known to be tractable, parameterized by the treewidth of the input graphs. We investigate MLA with respect to three parameters that provide more structure than treewidth. In particular, we give a factor (1 + ε)-approximation algorithm for MLA parameterized by (ε, k), where k is the vertex cover number of the input graph. By a similar approach, we describe two FPT algorithms that exactly solve MLA parameterized by, respectively, the max leaf and edge clique cover numbers of the input graph.

Original language	English
Title of host publication	Algorithms – ESA 2013
Subtitle of host publication	21st Annual European Symposium, Sophia Antipolis, France, September 2-4, 2013. Proceedings
Editors	Hans L. Bodlaender, Giuseppe F. Italiano
Publisher	Springer
Pages	457-468
Number of pages	12
ISBN (Print)	9783642404498
DOIs	https://doi.org/10.1007/978-3-642-40450-4_39
State	Published - 24 Sep 2013
Event	21st Annual European Symposium on Algorithms, ESA 2013 - Sophia Antipolis, France Duration: 2 Sep 2013 → 4 Sep 2013

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Publisher	Springer Verlag
Volume	8125

Conference

Conference	21st Annual European Symposium on Algorithms, ESA 2013
Country/Territory	France
City	Sophia Antipolis
Period	2/09/13 → 4/09/13

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Computer Science(all)

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https://doi.org/10.1007/978-3-642-40450-4_39

Cite this

Fellows, M. R., Hermelin, D., Rosamond, F. A., & Shachnai, H. (2013). Tractable Parameterizations for the Minimum Linear Arrangement Problem. In H. L. Bodlaender, & G. F. Italiano (Eds.), Algorithms – ESA 2013: 21st Annual European Symposium, Sophia Antipolis, France, September 2-4, 2013. Proceedings (pp. 457-468). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 8125). Springer. https://doi.org/10.1007/978-3-642-40450-4_39

Fellows, Michael R. ; Hermelin, Dan ; Rosamond, Frances A. et al. / Tractable Parameterizations for the Minimum Linear Arrangement Problem. Algorithms – ESA 2013: 21st Annual European Symposium, Sophia Antipolis, France, September 2-4, 2013. Proceedings. editor / Hans L. Bodlaender ; Giuseppe F. Italiano. Springer, 2013. pp. 457-468 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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Fellows, MR, Hermelin, D, Rosamond, FA & Shachnai, H 2013, Tractable Parameterizations for the Minimum Linear Arrangement Problem. in HL Bodlaender & GF Italiano (eds), Algorithms – ESA 2013: 21st Annual European Symposium, Sophia Antipolis, France, September 2-4, 2013. Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 8125, Springer, pp. 457-468, 21st Annual European Symposium on Algorithms, ESA 2013, Sophia Antipolis, France, 2/09/13. https://doi.org/10.1007/978-3-642-40450-4_39

Tractable Parameterizations for the Minimum Linear Arrangement Problem. / Fellows, Michael R.; Hermelin, Dan; Rosamond, Frances A. et al.
Algorithms – ESA 2013: 21st Annual European Symposium, Sophia Antipolis, France, September 2-4, 2013. Proceedings. ed. / Hans L. Bodlaender; Giuseppe F. Italiano. Springer, 2013. p. 457-468 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 8125).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Fellows MR, Hermelin D, Rosamond FA, Shachnai H. Tractable Parameterizations for the Minimum Linear Arrangement Problem. In Bodlaender HL, Italiano GF, editors, Algorithms – ESA 2013: 21st Annual European Symposium, Sophia Antipolis, France, September 2-4, 2013. Proceedings. Springer. 2013. p. 457-468. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: https://doi.org/10.1007/978-3-642-40450-4_39

Tractable Parameterizations for the Minimum Linear Arrangement Problem

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