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Cylindrical lattice walks and the Loehr-Warrington 10(n) conjecture
KTH.
2007 (English)In: European journal of combinatorics (Print), ISSN 0195-6698, E-ISSN 1095-9971, Vol. 28, no 3, p. 774-780Article in journal (Refereed) Published
Abstract [en]

The following special case of a conjecture by Loehr and Warrington was proved recently by Ekhad, Vatter. and Zeilberger:

There are 10(n) zero-sum words of length 5n in the alphabet {+3, -2} such that no zero-sum consecutive subword that starts with +3 may be followed immediately by -2.

We give a simple bijective proof of the conjecture in its original and more general setting. To do this we reformulate the problem in terms of cylindrical lattice walks. (c) 2005 Elsevier Ltd. All rights reserved.

Place, publisher, year, edition, pages
2007. Vol. 28, no 3, p. 774-780
National Category
Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-4944DOI: 10.1016/j.ejc.2005.12.004ISI: 000244966900011Scopus ID: 2-s2.0-33751400851OAI: oai:DiVA.org:mdh-4944DiVA, id: diva2:159701
Available from: 2009-02-09 Created: 2009-02-09 Last updated: 2017-12-14Bibliographically approved

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