Multi-Agent Path Finding on Strongly Biconnected Digraphs. Botea, A. & Surynek, P. In Proceedings of the AAAI Conference on Artificial Intelligence (AAAI), pages 2024–2030, 2015.
abstract   bibtex   
Much of the literature on multi-agent path finding focuses on undirected graphs, where motion is permitted in both directions along a graph edge. Despite this, travelling on directed graphs is relevant in navigation domains, such as pathfinding in games, and asymmetric communication networks. We consider multi-agent path finding on strongly biconnected directed graphs. We show that all instances with at least two unoccupied positions can be solved or proven unsolvable. We present a polynomial-time algorithm for this class of problems, and analyze its complexity. Our work may be the first formal study of multi-agent path finding on directed graphs.
@INPROCEEDINGS{ABote15a,
 AUTHOR= "A. Botea and P. Surynek",
 TITLE= "Multi-Agent Path Finding on Strongly Biconnected Digraphs",
 BOOKTITLE= "Proceedings of the AAAI Conference on Artificial Intelligence (AAAI)",
 YEAR= "2015",
 PAGES= "2024--2030",
 PDF= "https://www.aaai.org/ocs/index.php/AAAI/AAAI15/paper/download/9653/9499",
 FLAGS= ":2015;,:adibotea:,:pavelsurynek:",
 ABSTRACT= 
"Much of the literature on multi-agent path finding focuses on undirected
graphs, where motion is permitted in both directions along a graph
edge. Despite this, travelling on directed graphs is relevant in navigation
domains, such as pathfinding in games, and asymmetric communication
networks. We consider multi-agent path finding on strongly biconnected
directed graphs. We show that all instances with at least two unoccupied
positions can be solved or proven unsolvable. We present a polynomial-time
algorithm for this class of problems, and analyze its complexity. Our work may
be the first formal study of multi-agent path finding on directed graphs."
}

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