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Moving between 3-manifold triangulations is NP-hard
[Submitted on 12 Jun 2026] · 2026-06-15 · via math updates on arXiv.org

Mathematics > Geometric Topology

arXiv:2606.14413 (math)

[Submitted on 12 Jun 2026]

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Abstract:We show that \textsc{number of bistellar moves and sparse degree-two edge collapses for 3-sphere} is NP-hard. It follows that a similar problem for an arbitrary 3-manifold is NP-hard as well. This is the first NP-hardness result concerning moves between two triangulations of a 3-manifold.

Submission history

From: Stephan Tillmann [view email]
[v1] Fri, 12 Jun 2026 12:48:03 UTC (5,505 KB)

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