On the Computational Complexity of Multi-Agent Pathfinding on Directed Graphs

Authors

  • Bernhard Nebel Albert-Ludwigs-Universität

DOI:

https://doi.org/10.1609/icaps.v30i1.6663

Abstract

The determination of the computational complexity of multi-agent pathfinding on directed graphs has been an open problem for many years. For undirected graphs, solvability can be decided in polynomial time, as has been shown already in the eighties. Further, recently it has been shown that a special case on directed graphs can be decided in polynomial time. In this paper, we show that the problem is NP-hard in the general case. In addition, some upper bounds are proven.

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Published

2020-06-01

How to Cite

Nebel, B. (2020). On the Computational Complexity of Multi-Agent Pathfinding on Directed Graphs. Proceedings of the International Conference on Automated Planning and Scheduling, 30(1), 212-216. https://doi.org/10.1609/icaps.v30i1.6663