Description

In 2009, Bohman succeeded in following this process for a positive fraction of its duration, and thus obtained a second proof of Kim's celebrated result that $R(3,k) = \Theta \big ( k^2 / \log k \big )$. In this paper the authors improve the results of both Bohman and Kim and follow the triangle-free process all the way to its asymptotic end.

The TriangleFree Process and the Ramsey Number R3k

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Paperback by Gonzalo Fiz Pontiveros , Simon Griffiths

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In 2009, Bohman succeeded in following this process for a positive fraction of its duration, and thus obtained a second... Read more

    Publisher: MP-AMM American Mathematical
    Publication Date: 4/30/2020 12:00:00 AM
    ISBN13: 9781470440718, 978-1470440718
    ISBN10: 1470440717

    Number of Pages: 125

    Not Just Books , Stationery

    Description

    In 2009, Bohman succeeded in following this process for a positive fraction of its duration, and thus obtained a second proof of Kim's celebrated result that $R(3,k) = \Theta \big ( k^2 / \log k \big )$. In this paper the authors improve the results of both Bohman and Kim and follow the triangle-free process all the way to its asymptotic end.

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