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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...
Using homological duality in consecutive pattern avoidance
pattern avoidance exponential generating function linear differential equations
2010/12/14
Using the approach suggested in [2] we present below a sufficient condition guaranteeing
that two collections of patterns of permutations have the same exponential generating functions for the number...
A Spectral Approach to Consecutive Pattern-Avoiding Permutations
Spectral Approach Consecutive Pattern-Avoiding Permutations
2010/12/3
We consider the problem of enumerating permutations in the symmetric group on n elements
which avoid a given set of consecutive pattern S, and in particular computing asymptotics as n
tends to infin...