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README.md

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The repository contains two types of algorithms -- exact algorithms and heuristics. The best heuristic algorithm considered in this paper in terms of quality, based on a simple breadth-first search, computes the optimum result on more than 90% of the instances and is on average only 2.4% worse than the optimum solution. Our exact algorithm maintains an optimal edge orientation during both insertions and deletions. The update time of our algorithm is up to 6 orders of magnitude faster than static exact algorithms. This repository is joint work of Jannick Borowitz, Ernestine Großmann, Henrik Reinstädtler, Christian Schulz and Fabian Walliser.
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For optimal static algorithms for the problem, have a look at <a href="https://github.com/HeiOrient/HeiOrient">HeiOrient</a>.
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Performance of Heuristic Algorithms
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=====
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```
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When using the heuristic solvers, please cite:
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```
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@article{DBLP:journals/corr/abs-2301-06968,
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author = {Jannick Borowitz and
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Ernestine Gro{\ss}mann and
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Christian Schulz},
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title = {Engineering Fully Dynamic {\(\Delta\)}-Orientation Algorithms},
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journal = {CoRR},
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volume = {abs/2301.06968},
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year = {2023},
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url = {https://doi.org/10.48550/arXiv.2301.06968},
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doi = {10.48550/arXiv.2301.06968},
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eprinttype = {arXiv},
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eprint = {2301.06968},
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timestamp = {Fri, 20 Jan 2023 11:43:30 +0100},
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biburl = {https://dblp.org/rec/journals/corr/abs-2301-06968.bib},
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bibsource = {dblp computer science bibliography, https://dblp.org}
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@inproceedings{DBLP:conf/acda/BorowitzG023,
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author = {Jannick Borowitz and
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Ernestine Gro{\ss}mann and
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Christian Schulz},
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title = {Engineering Fully Dynamic {\(\Delta\)}-Orientation Algorithms},
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booktitle = {{ACDA}},
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pages = {25--37},
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publisher = {{SIAM}},
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year = {2023}
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}
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```

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