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    Finding next-to-shortest paths in a graph

    Krasikov, I. and Noble, Steven (2004) Finding next-to-shortest paths in a graph. Information Processing Letters 92 (3), pp. 117-119. ISSN 0020-0190.

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    We study the problem of finding the next-to-shortest paths in a graph. A next-to-shortest (u, v)-path is a shortest (u, v)-path amongst (u, v)- paths with length strictly greater than the length of the shortest (u, v)- path. In constrast to the situation in directed graphs, where the problem has been shown to be NP-hard, providing edges of length zero are allowed, we prove the somewhat surprising result that there is a polynomial time algorithm for the undirected version of the problem.


    Item Type: Article
    Additional Information:
    School: Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences
    Depositing User: Sarah Hall
    Date Deposited: 20 Jul 2020 12:05
    Last Modified: 09 Aug 2023 12:48


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