Mim-Width is paraNP-complete

Benjamin Bergougnoux; Édouard Bonnet; Julien Duron

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arXiv · 2501.05638

Mim-Width is paraNP-complete

Benjamin Bergougnoux·Édouard Bonnet·Julien Duron

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Abstract

We show that it is NP-hard to distinguish graphs of linear mim-width at most 1211 from graphs of sim-width at least 1216. This implies that Mim-Width, Sim-Width, One-Sided Mim-Width, and their linear counterparts are all paraNP-complete, i.e., NP-complete to compute even when upper bounded by a constant.

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BibTeX RIS

Benjamin Bergougnoux, Édouard Bonnet, Julien Duron. 2025-01-10. Mim-Width is paraNP-complete. https://arxiv.org/abs/2501.05638

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