Standard

Domino tilings of Aztec diamonds and squares. / Kokhas, K. P.

In: Journal of Mathematical Sciences, Vol. 158, No. 6, 01.05.2009, p. 868-894.

Research output: Contribution to journal › Article › peer-review

Harvard

Kokhas, KP 2009, 'Domino tilings of Aztec diamonds and squares', Journal of Mathematical Sciences, vol. 158, no. 6, pp. 868-894. https://doi.org/10.1007/s10958-009-9421-3

APA

Kokhas, K. P. (2009). Domino tilings of Aztec diamonds and squares. Journal of Mathematical Sciences, 158(6), 868-894. https://doi.org/10.1007/s10958-009-9421-3

Vancouver

Kokhas KP. Domino tilings of Aztec diamonds and squares. Journal of Mathematical Sciences. 2009 May 1;158(6):868-894. https://doi.org/10.1007/s10958-009-9421-3

Author

Kokhas, K. P. / Domino tilings of Aztec diamonds and squares. In: Journal of Mathematical Sciences. 2009 ; Vol. 158, No. 6. pp. 868-894.

BibTeX

@article{b9c61a9bd6304de897624571d0bca4a1,
title = "Domino tilings of Aztec diamonds and squares",
abstract = "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.",
author = "Kokhas, {K. P.}",
year = "2009",
month = may,
day = "1",
doi = "10.1007/s10958-009-9421-3",
language = "English",
volume = "158",
pages = "868--894",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "6",

}

RIS

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