Parallelizing the branch-and-bound with isomorphism pruning algorithm for classifying orthogonal arrays
Data Structures and Algorithms
2026-04-20 v1 Combinatorics
Abstract
We provide a method for parallelizing the branch-and-bound with isomorphism pruning algorithm developed by Margot [Symmetric ILP: Coloring and small integers, Discrete Optimization (4) (2007), 40-62]. We apply our method to classify orthogonal arrays. For classifying all non-OD- equivalent OA(128, 9, 2, 4) and OA(144, 9, 2, 4) our method results in linear speedups. Finally, our method enables classifying all non-OD-equivalent OA(192, k, 2, 4) for k = 9, 10, 11 for the first time.
Cite
@article{arxiv.2604.16271,
title = {Parallelizing the branch-and-bound with isomorphism pruning algorithm for classifying orthogonal arrays},
author = {Dursun Bulutoglu},
journal= {arXiv preprint arXiv:2604.16271},
year = {2026}
}
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8 pages