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Complexity of Canadian traveler problem variants
Stockholm University, Faculty of Science, Numerical Analysis and Computer Science (NADA). KTH Royal Inst Technol, SE-10044 Stockholm, Sweden.
2013 (English)In: Theoretical Computer Science, ISSN 0304-3975, Vol. 487, 1-16 p.Article in journal (Refereed) Published
Abstract [en]

The Canadian traveler problem (CTP) is the problem of traversing a given graph, where some of the edges may be blocked a state which is revealed only upon reaching an incident vertex. Originally stated by Papadimitriou and Yannakakis (1991) [1], the adversarial version of the CTP was shown to be PSPACE-complete, with the stochastic version shown to be in PSPACE and #P-hard. We show that the stochastic CTP is also PSPACE-complete: initially proving PSPACE-hardness for the dependent version of the stochastic CTP, and proceeding with gadgets that allow us to extend the proof to the independent case. Since for disjoint-path graphs, the CTP can be solved in polynomial time, we examine the complexity of the more general remote-sensing CTP, and show that it is NP-hard even for disjoint-path graphs.

Place, publisher, year, edition, pages
2013. Vol. 487, 1-16 p.
Keyword [en]
Canadian traveler problem, Complexity of navigation under uncertainty, Stochastic shortest path with recourse
National Category
Computer Science
URN: urn:nbn:se:su:diva-92020DOI: 10.1016/j.tcs.2013.03.016ISI: 000319791300001OAI: diva2:637342
EU, European Research Council, 226203


Available from: 2013-07-17 Created: 2013-07-15 Last updated: 2013-07-17Bibliographically approved

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