BIROn - Birkbeck Institutional Research Online

    An algorithm for finding Hamilton cycles in a random graph

    Bollobas, B. and Fenner, Trevor and Frieze, A.M. (1987) An algorithm for finding Hamilton cycles in a random graph. Combinatorica 7 (4), pp. 327-341. ISSN 0209-9683.

    Full text not available from this repository.

    Abstract

    This paper describes a polynomial time algorithm HAM that searches for Hamilton cycles in undirected graphs. On a random graph its asymptotic probability of success is that of the existence of such a cycle. If all graphs withn vertices are considered equally likely, then using dynamic programming on failure leads to an algorithm with polynomial expected time. The algorithm HAM is also used to solve the symmetric bottleneck travelling salesman problem with probability tending to 1, asn tends to ∞. Various modifications of HAM are shown to solve several Hamilton path problems.

    Metadata

    Item Type: Article
    School: Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences
    Depositing User: Sarah Hall
    Date Deposited: 22 Mar 2021 20:14
    Last Modified: 09 Aug 2023 12:50
    URI: https://eprints.bbk.ac.uk/id/eprint/43622

    Statistics

    Activity Overview
    6 month trend
    0Downloads
    6 month trend
    161Hits

    Additional statistics are available via IRStats2.

    Archive Staff Only (login required)

    Edit/View Item
    Edit/View Item