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Electronic Journal of Combinatorics
Article . 1999 . Peer-reviewed
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Electronic Journal of Combinatorics
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https://dx.doi.org/10.37236/14...
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Tilings of Diamonds and Hexagons with Defects

descriptionPublicationkeyboard_double_arrow_right Article 23 Feb 1999Publisher:The Electronic Journal of CombinatoricsJournal:The Electronic Journal of Combinatorics, volume 6 (eissn: 1077-8926, Copyright policy )
Authors: Harald Helfgott; Ira M. Gessel;

doi: 10.37236/1448

Tilings of Diamonds and Hexagons with Defects

Abstract

We show how to count tilings of Aztec diamonds and hexagons with defects using determinants. In several cases these determinants can be evaluated in closed form. In particular, we obtain solutions to open problems 1, 2, and 10 in James Propp's list of problems on enumeration of matchings.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
12
Average
Top 10%
Top 10%
gold