Domino shuffling on Novak half-hexagons and Aztec half-diamonds
2011 (English)In: The Electronic Journal of Combinatorics, ISSN 1077-8926, Vol. 18, no 1, P181- p.Article in journal (Refereed) Published
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.
LOCAL STATISTICS, TILINGS, DIMERS
IdentifiersURN: urn:nbn:se:kth:diva-41289ISI: 000294771100006ScopusID: 2-s2.0-80052700223OAI: oai:DiVA.org:kth-41289DiVA: diva2:444487
FunderKnut and Alice Wallenberg Foundation, KAW 2010.0063
QC 201109292011-09-292011-09-262011-09-29Bibliographically approved