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Domino shuffling on Novak half-hexagons and Aztec half-diamonds
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2011 (English)In: The Electronic Journal of Combinatorics, ISSN 1097-1440, E-ISSN 1077-8926, Vol. 18, no 1, P181- p.Article in journal (Refereed) Published
Abstract [en]

We explore the connections between the well-studied Aztec Diamond graphs and a new family of graphs called the Half-Hexagons, discovered by Jonathan Novak. In particular, both families of graphs have very simple domino shuffling algorithms, which turn out to be intimately related. This connection allows us to prove an "arctic parabola" theorem for the Half-Hexagons as a corollary of the Arctic Circle theorem for the Aztec Diamond.

Place, publisher, year, edition, pages
2011. Vol. 18, no 1, P181- p.
Keyword [en]
LOCAL STATISTICS, TILINGS, DIMERS
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-41289ISI: 000294771100006Scopus ID: 2-s2.0-80052700223OAI: oai:DiVA.org:kth-41289DiVA: diva2:444487
Funder
Knut and Alice Wallenberg Foundation, KAW 2010.0063
Note
QC 20110929Available from: 2011-09-29 Created: 2011-09-26 Last updated: 2017-12-08Bibliographically approved

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