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Abstract: We characterize permutations whose Bruhat graphs can be drawn in the plane. In particular, we show this property, as well as that of having having length at most a fixed l, is characterized ...
Discrete Morse theory and the consecutive pattern poset
consecutive pattern discrete Morse theory factor order Mobius function permutation patters posets
2011/9/13
Abstract: We use discrete Morse theory to provide another proof of Bernini, Ferrari, and Steingrimson's formula for the Mobius function of the consecutive pattern poset. In addition, we are able to de...