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    A remark on Hamilton cycles with few colors

    Balla, I. and Pokrovskiy, Alexey and Sudakov, B. (2017) A remark on Hamilton cycles with few colors. Moscow Journal of Combinatorics and Number Theory 7 (3), ISSN 2220-5438.

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    Abstract

    Akbari, Etesami, Mahini, and Mahmoody conjectured that every proper edge colouring of Kn with n colours contains a Hamilton cycle with ≤O(logn) colours. They proved that there is always a Hamilton cycle with ≤8√n colours. In this note we improve this bound to O(log3n).

    Metadata

    Item Type: Article
    Keyword(s) / Subject(s): Hamilton cycle, probabilistic methods, spectral techniques
    School: Birkbeck Schools and Departments > School of Business, Economics & Informatics > Economics, Mathematics and Statistics
    Depositing User: Alexey Pokrovskiy
    Date Deposited: 21 Jan 2019 10:50
    Last Modified: 30 Jul 2019 06:12
    URI: http://eprints.bbk.ac.uk/id/eprint/25890

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