Discrete Morse theory and the consecutive pattern poset

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Discrete Morse theory and the consecutive pattern poset

We use discrete Morse theory to provide another proof of Bernini, Ferrari, and Steingrímsson’s formula for the Möbius function of the consecutive pattern poset. In addition, we are able to determine the homotopy type of this poset. Earlier, Björner determined the Möbius function and homotopy type of factor order and the results are remarkably similar to those in the pattern case. In his thesis,...

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ژورنال

عنوان ژورنال: Journal of Algebraic Combinatorics

سال: 2012

ISSN: 0925-9899,1572-9192

DOI: 10.1007/s10801-012-0347-3