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Zapiski Nauchnykh Seminarov POMI, 2008, Volume 360, Pages 180–230 (Mi znsl2165)  
This article is cited in 6 scientific papers (total in 6 papers)

Domino tilings of aztec diamonds and squares

K. Kokhas

Saint-Petersburg State University
Full-text PDF (612 kB) Citations (6)
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Abstract: The article gives several new combinatorial proofs of well-known theorems about domino tilings of aztec diamonds and squares. We prove also 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.
The text is self-sufficient, we give numerous illustrations to all combinatorial constructions. Bibl. – 17 titles.
Received: 19.11.2008
English version:
Journal of Mathematical Sciences (New York), 2009, Volume 158, Issue 6, Pages 868–894
DOI: https://doi.org/10.1007/s10958-009-9421-3
Bibliographic databases:
UDC: 519.148
Language: Russian
Citation: K. Kokhas, “Domino tilings of aztec diamonds and squares”, Representation theory, dynamics systems, combinatorial methods. Part XVI, Zap. Nauchn. Sem. POMI, 360, POMI, St. Petersburg, 2008, 180–230; J. Math. Sci. (N. Y.), 158:6 (2009), 868–894
Citation in format AMSBIB
\Bibitem{Kok08}
\by K.~Kokhas
\paper Domino tilings of aztec diamonds and squares
\inbook Representation theory, dynamics systems, combinatorial methods. Part~XVI
\serial Zap. Nauchn. Sem. POMI
\yr 2008
\vol 360
\pages 180--230
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl2165}
\zmath{https://zbmath.org/?q=an:1180.05027}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2009
\vol 158
\issue 6
\pages 868--894
\crossref{https://doi.org/10.1007/s10958-009-9421-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-67349122700}
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  • https://www.mathnet.ru/eng/znsl/v360/p180
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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