License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.IPEC.2020.34
URN: urn:nbn:de:0030-drops-133371
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2020/13337/
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Trimble, James

PACE Solver Description: Bute-Plus: A Bottom-Up Exact Solver for Treedepth

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LIPIcs-IPEC-2020-34.pdf (0.3 MB)


Abstract

This note introduces Bute-Plus, an exact solver for the treedepth problem. The core of the solver is a positive-instance driven dynamic program that constructs an elimination tree of minimum depth in a bottom-up fashion. Three features greatly improve the algorithm’s run time. The first of these is a specialised trie data structure. The second is a domination rule. The third is a heuristic presolve step can quickly find a treedepth decomposition of optimal depth for many instances.

BibTeX - Entry

@InProceedings{trimble:LIPIcs:2020:13337,
  author =	{James Trimble},
  title =	{{PACE Solver Description: Bute-Plus: A Bottom-Up Exact Solver for Treedepth}},
  booktitle =	{15th International Symposium on Parameterized and Exact Computation (IPEC 2020)},
  pages =	{34:1--34:4},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-172-6},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{180},
  editor =	{Yixin Cao and Marcin Pilipczuk},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2020/13337},
  URN =		{urn:nbn:de:0030-drops-133371},
  doi =		{10.4230/LIPIcs.IPEC.2020.34},
  annote =	{Keywords: Treedepth, Elimination Tree, Graph Algorithms}
}

Keywords: Treedepth, Elimination Tree, Graph Algorithms
Collection: 15th International Symposium on Parameterized and Exact Computation (IPEC 2020)
Issue Date: 2020
Date of publication: 04.12.2020
Supplementary Material: DOI of code submitted to PACE Challenge: https://doi.org/10.5281/zenodo.3881441. The latest version of the code can be found on GitHub: https://github.com/jamestrimble/pace2020-treedepth-solvers.


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