Grid Graphs, Gorenstein Polytopes, and Domino Stackings

We examine domino tilings of rectangular boards, which are in natural bijection with perfect matchings of grid graphs. This leads to the study of their associated perfect matching polytopes, and we present some of their properties, in particular, when these polytopes are Gorenstein. We also introduc...

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Bibliographic Details
Main Authors: Beck, Matthias, Haase, Christian, Sam, Steven V.
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Springer Science + Business Media B.V. 2011
Online Access:http://hdl.handle.net/1721.1/66090