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PACE Solver Description

DOI: 10.4230/LIPIcs.IPEC.2025.36

PACE Solver Description: Reductions and Heuristic Search for the Dominating Set Problem and the Hitting Set Problem

Authors: Florian Fontan and Guillaume Verger

Published in: LIPIcs, Volume 358, 20th International Symposium on Parameterized and Exact Computation (IPEC 2025)

Abstract

In this paper, we describe the solver we submitted for both heuristic tracks of the PACE challenge 2025 on the dominating set problem and the hitting set problem. We solve both problems as unicost set covering problems. Our solver first performs reductions on the instance. Then greedy algorithms generate an initial solution that serves as starting point of the large neighborhood search and the local search which are executed afterwards. The solver ranked first in the dominating set heuristic track, and second in the hitting set heuristic track.

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Florian Fontan and Guillaume Verger. PACE Solver Description: Reductions and Heuristic Search for the Dominating Set Problem and the Hitting Set Problem. In 20th International Symposium on Parameterized and Exact Computation (IPEC 2025). Leibniz International Proceedings in Informatics (LIPIcs), Volume 358, pp. 36:1-36:3, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2025)

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@InProceedings{fontan_et_al:LIPIcs.IPEC.2025.36,
  author =	{Fontan, Florian and Verger, Guillaume},
  title =	{{PACE Solver Description: Reductions and Heuristic Search for the Dominating Set Problem and the Hitting Set Problem}},
  booktitle =	{20th International Symposium on Parameterized and Exact Computation (IPEC 2025)},
  pages =	{36:1--36:3},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-407-9},
  ISSN =	{1868-8969},
  year =	{2025},
  volume =	{358},
  editor =	{Agrawal, Akanksha and van Leeuwen, Erik Jan},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.IPEC.2025.36},
  URN =		{urn:nbn:de:0030-drops-251681},
  doi =		{10.4230/LIPIcs.IPEC.2025.36},
  annote =	{Keywords: dominating set, hitting set, unicost set covering, reductions, large neighborhood search, local search}
}

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CG Challenge

DOI: 10.4230/LIPIcs.SoCG.2022.73

Local Search with Weighting Schemes for the CG:SHOP 2022 Competition (CG Challenge)

Authors: Florian Fontan, Pascal Lafourcade, Luc Libralesso, and Benjamin Momège

Published in: LIPIcs, Volume 224, 38th International Symposium on Computational Geometry (SoCG 2022)

Abstract

This paper describes the heuristics used by the LASAOFOOFUBESTINNRRALLDECA team for the CG:SHOP 2022 challenge. We introduce a new greedy algorithm that exploits information about the challenge instances, and hybridize two classical local-search schemes with weighting schemes. We found 211/225 best-known solutions. Hence, with the algorithms presented in this article, our team was able to reach the 3rd place of the challenge, among 40 participating teams.

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Florian Fontan, Pascal Lafourcade, Luc Libralesso, and Benjamin Momège. Local Search with Weighting Schemes for the CG:SHOP 2022 Competition (CG Challenge). In 38th International Symposium on Computational Geometry (SoCG 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 224, pp. 73:1-73:6, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)

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@InProceedings{fontan_et_al:LIPIcs.SoCG.2022.73,
  author =	{Fontan, Florian and Lafourcade, Pascal and Libralesso, Luc and Mom\`{e}ge, Benjamin},
  title =	{{Local Search with Weighting Schemes for the CG:SHOP 2022 Competition}},
  booktitle =	{38th International Symposium on Computational Geometry (SoCG 2022)},
  pages =	{73:1--73:6},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-227-3},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{224},
  editor =	{Goaoc, Xavier and Kerber, Michael},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2022.73},
  URN =		{urn:nbn:de:0030-drops-160811},
  doi =		{10.4230/LIPIcs.SoCG.2022.73},
  annote =	{Keywords: heuristics, vertex coloring, digital geometry}
}

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Documents authored by Fontan, Florian

PACE Solver Description: Reductions and Heuristic Search for the Dominating Set Problem and the Hitting Set Problem

Abstract

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Local Search with Weighting Schemes for the CG:SHOP 2022 Competition (CG Challenge)

Abstract

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