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arXiv · 2603.05203

Reconfiguration of Squares Using a Constant Number of Moves Each

Thijs van der Horst·Maarten Löffler·Tim Ophelders·Tom Peters
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Abstract

Multi-robot motion planning is a hard problem. We investigate restricted variants of the problem where square robots are allowed to slide over an arbitrary curve to a new position only a constant number of times each. We show that the problem remains NP-hard in most cases, except when the squares have unit size and when the problem is unlabeled, i.e., the location of each square in the target configuration is left unspecified.

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Thijs van der Horst, Maarten Löffler, Tim Ophelders, Tom Peters. 2026-03-05. Reconfiguration of Squares Using a Constant Number of Moves Each. https://arxiv.org/abs/2603.05203

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