most citedThe Largest Subsemilattices of the Semigroup of Transformations on a Finite Set

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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.GR2010★ 1 cited

The Largest Subsemilattices of the Semigroup of Transformations on a Finite Set

João Araújo, Janusz Konieczny

Let T(X) be the semigroup of full transformations on a finite set X with n elements. We prove that every subsemilattice of T(X) has at most 2^{n-1} elements and that there are prec…