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    Loop-free algorithms for traversing binary trees

    Fenner, Trevor and Loizou, G. (1984) Loop-free algorithms for traversing binary trees. BIT Numerical Mathematics 24 (1), pp. 33-44. ISSN 0006-3835.

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    We survey and classify the various algorithms for traversing binary trees in the three principal orders and the related two- and three-visit traversal orders. For each class of algorithms we determine which of the traversal orders may be effected by means ofloop-free traversal algorithms. Although, in general, these are multi-visit traversal orders, we indicate how the algorithms may be modified to yield loop-freesingle-visit traversal algorithms in “non-standard” orders. We also exhibit and discuss the close relationship between the various stack-based algorithms and the other classes of algorithms.


    Item Type: Article
    School: Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences
    Depositing User: Sarah Hall
    Date Deposited: 23 Mar 2021 19:20
    Last Modified: 09 Aug 2023 12:50


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