Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Domino tilings of Aztec diamonds and squares. / Kokhas, K. P.
в: Journal of Mathematical Sciences, Том 158, № 6, 01.05.2009, стр. 868-894.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Domino tilings of Aztec diamonds and squares
AU - Kokhas, K. P.
PY - 2009/5/1
Y1 - 2009/5/1
N2 - An Aztec diamond of rank n is a rhombus of side length n on the square grid. We give several new combinatorial proofs of known theorems about the numbers of domino tilings of diamonds and squares. We also prove generalizations of these theorems for the generating polynomials of some statistics of tilings. Some results here are new. For example, we describe how to calculate the rank of a tiling using special weights of edges on the square grid.
AB - An Aztec diamond of rank n is a rhombus of side length n on the square grid. We give several new combinatorial proofs of known theorems about the numbers of domino tilings of diamonds and squares. We also prove generalizations of these theorems for the generating polynomials of some statistics of tilings. Some results here are new. For example, we describe how to calculate the rank of a tiling using special weights of edges on the square grid.
UR - http://www.scopus.com/inward/record.url?scp=67349122700&partnerID=8YFLogxK
U2 - 10.1007/s10958-009-9421-3
DO - 10.1007/s10958-009-9421-3
M3 - Article
AN - SCOPUS:67349122700
VL - 158
SP - 868
EP - 894
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 6
ER -
ID: 37050516