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The Cartographer
The Small Solution Hypothesis for MAPF on Strongly Connected Directed Graphs Is True
October 10, 2022 Β· Declared Dead Β· π International Conference on Automated Planning and Scheduling
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Authors
Bernhard Nebel
arXiv ID
2210.04590
Category
cs.AI: Artificial Intelligence
Cross-listed
cs.MA
Citations
4
Venue
International Conference on Automated Planning and Scheduling
Last Checked
4 months ago
Abstract
The determination of the computational complexity of multi-agent pathfinding on directed graphs (diMAPF) has been an open research problem for many years. While diMAPF has been shown to be polynomial for some special cases, only recently, it has been established that the problem is NP-hard in general. Further, it has been proved that diMAPF will be in NP if the short solution hypothesis for strongly connected directed graphs is correct. In this paper, it is shown that this hypothesis is indeed true, even when one allows for synchronous rotations.
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