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Showing 2011 · math.COShow all
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math.CO2011★ 1 cited
Discrete Morse theory and the consecutive pattern poset
Bruce Sagan, Robert Willenbring
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…
math.CO2011★ 3 cited
Counting (3+1) - Avoiding permutations
M. D. Atkinson, Bruce E. Sagan, Vincent Vatter
A poset is {\it $(\3+\1)$-free} if it contains no induced subposet isomorphic to the disjoint union of a 3-element chain and a 1-element chain. These posets are of interest because…