PACE Solver Description: Crossy - An Exact Solver for One-Sided Crossing Minimization

Authors Tobias Röhr, Kirill Simonov



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Tobias Röhr
  • Hasso Plattner Institute, University of Potsdam, Germany
Kirill Simonov
  • Hasso Plattner Institute, University of Potsdam, Germany

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Tobias Röhr and Kirill Simonov. PACE Solver Description: Crossy - An Exact Solver for One-Sided Crossing Minimization. In 19th International Symposium on Parameterized and Exact Computation (IPEC 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 321, pp. 30:1-30:4, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024) https://doi.org/10.4230/LIPIcs.IPEC.2024.30

Abstract

We describe Crossy, an exact solver for One-sided Crossing Minimization (OSCM) that ranked 5th in the Parameterized Algorithms and Computational Experiments (PACE) Challenge 2024 (Exact and Parameterized Track). Crossy applies a series of reductions and subsequently transforms the input into an instance of Weighted Directed Feedback Arc Set (WDFAS), which is then formulated in incremental MaxSAT . We use the recently introduced concept of User Propagators for CDCL SAT solvers in order to dynamically add cycle constraints.

Subject Classification

ACM Subject Classification
  • Theory of computation → Parameterized complexity and exact algorithms
Keywords
  • One-sided Crossing Minimization
  • Exact Algorithms
  • Graph Drawing
  • Incremental MaxSAT

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References

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