Symmetry-breaking symmetry in directed spectral partitioning
Data Structures and Algorithms
2025-08-25 v1
Abstract
We break the symmetry in classical spectral bi-partitioning in order to incentivise the alignment of directed cut edges. We use this to generate acyclic bi-partitions and furthermore topological orders of directed acyclic graphs with superb locality. The new approach outperforms the state-of-the-art Gorder algorithm by up to on total reuse distance and minimum linear arrangement.
Cite
@article{arxiv.2508.16173,
title = {Symmetry-breaking symmetry in directed spectral partitioning},
author = {Dimosthenis Pasadakis and Raphael S. Steiner and Pál András Papp and Toni Böhnlein and Albert-Jan N. Yzelman},
journal= {arXiv preprint arXiv:2508.16173},
year = {2025}
}
Comments
25 pages