The Small Solution Hypothesis for MAPF on Strongly Connected Directed Graphs Is True
Artificial Intelligence
2023-02-13 v4 Multiagent Systems
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.
Cite
@article{arxiv.2210.04590,
title = {The Small Solution Hypothesis for MAPF on Strongly Connected Directed Graphs Is True},
author = {Bernhard Nebel},
journal= {arXiv preprint arXiv:2210.04590},
year = {2023}
}
Comments
Conference version, to be published at: The 33rd International Conference on Automated Planning and Scheduling (ICAPS-2023)