PACE Solver Description: OCMu64, a Solver for One-Sided Crossing Minimization


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Date

2024

Publication Type

Conference Paper

ETH Bibliography

yes

Citations

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Data

Abstract

Given a bipartite graph (A,B), the one-sided crossing minimization (OCM) problem is to find an ordering of the vertices of B that minimizes the number of edge crossings when drawn in the plane. We introduce the novel strongly fixed, practically fixed, and practically glued reductions that maximally generalize some existing reductions. We apply these in our exact solver OCMu64, that directly uses branch-and-bound on the ordering of the vertices of B and does not depend on ILP or SAT solvers.

Publication status

published

Book title

19th International Symposium on Parameterized and Exact Computation (IPEC 2024)

Volume

321

Pages / Article No.

Publisher

Schloss Dagstuhl – Leibniz-Zentrum für Informatik

Event

19th International Symposium on Parameterized and Exact Computation (IPEC 2024)

Edition / version

Methods

Software

Geographic location

Date collected

Date created

Subject

Graph drawing; crossing number; branch and bound

Organisational unit

09568 - Rätsch, Gunnar / Rätsch, Gunnar check_circle

Notes

Funding

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