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

Bernhard Nebel

PosterID: 43 PDF Slides Poster BibTeX

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 is solvable 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.

Session E6: Complexity & Temporal / Numeric Planning
Canb 10/28/2020, 17:00 – 18:00
10/30/2020, 00:00 – 01:00
Paris 10/28/2020, 07:00 – 08:00
10/29/2020, 14:00 – 15:00
NYC 10/28/2020, 02:00 – 03:00
10/29/2020, 09:00 – 10:00
LA 10/27/2020, 23:00 – 00:00
10/29/2020, 06:00 – 07:00