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    Cyclic labelling with constraints at two distances

    Leese, R.A. and Noble, Steven (2004) Cyclic labelling with constraints at two distances. The Electronic Journal of Combinatorics 11 (1), ISSN 1077-8926.

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    Motivated by problems in radio channel assignment, we consider the vertex-labelling of graphs with nonnegative integers. The objective is to minimize the span of the labelling, subject to constraints imposed at graph distances one and two. We show that the minimum span is (up to rounding) a piecewise linear function of the constraints, and give a complete specification, together with the associated optimal assignments, for trees and cycles.


    Item Type: Article
    Additional Information: Article number: R16
    School: Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences
    Depositing User: Sarah Hall
    Date Deposited: 20 Jul 2020 12:29
    Last Modified: 09 Aug 2023 12:48


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