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arXiv · 2508.16173

Symmetry-breaking symmetry in directed spectral partitioning

Dimosthenis Pasadakis·Raphael S. Steiner·Pál András Papp·Toni Böhnlein·Albert-Jan N. Yzelman
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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 $17\times$ on total reuse distance and minimum linear arrangement.

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Dimosthenis Pasadakis, Raphael S. Steiner, Pál András Papp, Toni Böhnlein, Albert-Jan N. Yzelman. 2025-08-22. Symmetry-breaking symmetry in directed spectral partitioning. https://arxiv.org/abs/2508.16173

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