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PACE Solver Description

DOI: 10.4230/LIPIcs.IPEC.2020.27

PACE Solver Description: Fluid

Authors: Max Bannach, Sebastian Berndt, Martin Schuster, and Marcel Wienöbst

Published in: LIPIcs, Volume 180, 15th International Symposium on Parameterized and Exact Computation (IPEC 2020)

Abstract

This document describes the heuristic for computing treedepth decompositions of undirected graphs used by our solve fluid. The heuristic runs four different strategies to find a solution and finally outputs the best solution obtained by any of them. Two strategies are score-based and iteratively remove the vertex with the best score. The other two strategies iteratively search for vertex separators and remove them. We also present implementation strategies and data structures that significantly improve the run time complexity and might be interesting on their own.

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Max Bannach, Sebastian Berndt, Martin Schuster, and Marcel Wienöbst. PACE Solver Description: Fluid. In 15th International Symposium on Parameterized and Exact Computation (IPEC 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 180, pp. 27:1-27:3, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)

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@InProceedings{bannach_et_al:LIPIcs.IPEC.2020.27,
  author =	{Bannach, Max and Berndt, Sebastian and Schuster, Martin and Wien\"{o}bst, Marcel},
  title =	{{PACE Solver Description: Fluid}},
  booktitle =	{15th International Symposium on Parameterized and Exact Computation (IPEC 2020)},
  pages =	{27:1--27:3},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-172-6},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{180},
  editor =	{Cao, Yixin and Pilipczuk, Marcin},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.IPEC.2020.27},
  URN =		{urn:nbn:de:0030-drops-133300},
  doi =		{10.4230/LIPIcs.IPEC.2020.27},
  annote =	{Keywords: treedepth, heuristics}
}

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PACE Solver Description

DOI: 10.4230/LIPIcs.IPEC.2020.28

PACE Solver Description: PID^⋆

Authors: Max Bannach, Sebastian Berndt, Martin Schuster, and Marcel Wienöbst

Published in: LIPIcs, Volume 180, 15th International Symposium on Parameterized and Exact Computation (IPEC 2020)

Abstract

This document provides a short overview of our treedepth solver PID^{⋆} in the version that we submitted to the exact track of the PACE challenge 2020. The solver relies on the positive-instance driven dynamic programming (PID) paradigm that was discovered in the light of earlier iterations of the PACE in the context of treewidth. It was recently shown that PID can be used to solve a general class of vertex pursuit-evasion games - which include the game theoretic characterization of treedepth. Our solver PID^{⋆} is build on top of this characterization.

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Max Bannach, Sebastian Berndt, Martin Schuster, and Marcel Wienöbst. PACE Solver Description: PID^⋆. In 15th International Symposium on Parameterized and Exact Computation (IPEC 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 180, pp. 28:1-28:4, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)

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@InProceedings{bannach_et_al:LIPIcs.IPEC.2020.28,
  author =	{Bannach, Max and Berndt, Sebastian and Schuster, Martin and Wien\"{o}bst, Marcel},
  title =	{{PACE Solver Description: PID^⋆}},
  booktitle =	{15th International Symposium on Parameterized and Exact Computation (IPEC 2020)},
  pages =	{28:1--28:4},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-172-6},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{180},
  editor =	{Cao, Yixin and Pilipczuk, Marcin},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.IPEC.2020.28},
  URN =		{urn:nbn:de:0030-drops-133312},
  doi =		{10.4230/LIPIcs.IPEC.2020.28},
  annote =	{Keywords: treedepth, positive-instance driven}
}

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Documents authored by Wienöbst, Marcel

PACE Solver Description: Fluid

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PACE Solver Description: PID^⋆

Abstract

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