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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/22154

Title: A note on Thue games
Authors: Mercas, Robert
Nowotka, Dirk
Issue Date: 2017
Publisher: © Elsevier
Citation: MERCAS, R. and NOWOTKA, D., 2017. A note on Thue games. Information Processing Letters, 118 (February), pp. 75–77.
Abstract: In this work we improve on a result from [1]. In particular, we investigate the situation where a word is constructed jointly by two players who alternately append letters to the end of an existing word. One of the players (Ann) tries to avoid (non-trivial) repetitions, while the other one (Ben) tries to enforce them. We show a construction that is closer to the lower bound showed in [2] using entropy compression, and building on the probabilistic arguments based on a version of the Lov´asz Local Lemma from [3]. We provide an explicit strategy for Ann to avoid (non-trivial) repetitions over a 7-letter alphabet.
Description: This paper is closed access until 26 October 2017. A pre-print version of this paper is available at: https://arxiv.org/abs/1601.02453
Version: Accepted for publication
DOI: 10.1016/j.ipl.2016.10.004
URI: https://dspace.lboro.ac.uk/2134/22154
Publisher Link: http://dx.doi.org/10.1016/j.ipl.2016.10.004
ISSN: 0020-0190
Appears in Collections:Closed Access (Computer Science)

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