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Main Authors: Pasadakis, Dimosthenis, Steiner, Raphael S., Papp, Pál András, Böhnlein, Toni, Yzelman, Albert-Jan N.
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2508.16173
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author Pasadakis, Dimosthenis
Steiner, Raphael S.
Papp, Pál András
Böhnlein, Toni
Yzelman, Albert-Jan N.
author_facet Pasadakis, Dimosthenis
Steiner, Raphael S.
Papp, Pál András
Böhnlein, Toni
Yzelman, Albert-Jan N.
contents 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 $17\times$ on total reuse distance and minimum linear arrangement.
format Preprint
id arxiv_https___arxiv_org_abs_2508_16173
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Symmetry-breaking symmetry in directed spectral partitioning
Pasadakis, Dimosthenis
Steiner, Raphael S.
Papp, Pál András
Böhnlein, Toni
Yzelman, Albert-Jan N.
Data Structures and Algorithms
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 $17\times$ on total reuse distance and minimum linear arrangement.
title Symmetry-breaking symmetry in directed spectral partitioning
topic Data Structures and Algorithms
url https://arxiv.org/abs/2508.16173