Moving faces to other places: Facet derangements

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Moving faces to other places: Facet derangements

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Title: Moving faces to other places: Facet derangements
Author: Gordon, Gary; McMahon, Elizabeth
Abstract: Derangements are a popular topic in combinatorics classes. We study a generalization to face derangements of the n-dimensional hypercube. These derangements can be classified as odd or even, depending on whether the underlying isometry is direct or indirect, providing a link to abstract algebra. We emphasize the interplay between the geometry, algebra, and combinatorics of these sequences, with lots of pretty pictures.
URI: http://hdl.handle.net/10385/894
Date: 2010-12

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