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PACE Solver Description: Sallow: A Heuristic Algorithm for Treedepth Decompositions
Author
Marcin Wrochna 
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15th International Symposium on Parameterized and Exact Computation (IPEC 2020)
Series: Leibniz International Proceedings in Informatics (LIPIcs)
Conference: International Symposium on Parameterized and Exact Computation (IPEC) - License:
Creative Commons Attribution 3.0 Unported license
- Publication Date: 2020-12-04
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Acknowledgements
The author is very grateful to the https://pacechallenge.org/2020 organizers at the University of Warsaw, organizers of past editions, and the OPTIL.io team at the Poznań University of Technology for making this challenge possible.
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Marcin Wrochna. PACE Solver Description: Sallow: A Heuristic Algorithm for Treedepth Decompositions. In 15th International Symposium on Parameterized and Exact Computation (IPEC 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 180, pp. 36:1-36:4, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)
https://doi.org/10.4230/LIPIcs.IPEC.2020.36
Abstract
We describe a heuristic algorithm for computing treedepth decompositions, submitted for the https://pacechallenge.org/2020 challenge. It relies on a variety of greedy algorithms computing elimination orderings, as well as a Divide & Conquer approach on balanced cuts obtained using a from-scratch reimplementation of the 2016 FlowCutter algorithm by Hamann & Strasser [Michael Hamann and Ben Strasser, 2018].
Subject Classification
ACM Subject Classification
- Theory of computation → Discrete optimization
- Mathematics of computing → Solvers
- Mathematics of computing → Graph theory
Keywords
- treedepth
- decomposition
- heuristic
- weak colouring numbers
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References
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- Michael Hamann and Ben Strasser. Graph bisection with pareto optimization. ACM Journal of Experimental Algorithmics, 23, 2018. URL: https://doi.org/10.1145/3173045.
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- Ben Strasser. Computing tree decompositions with flowcutter: PACE 2017 submission. CoRR, abs/1709.08949, 2017. URL: http://arxiv.org/abs/1709.08949.
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