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On Expected Factors in Reduced Decompositions in Type B
Bridget Eileen Tenner
The expected number of Yang-Baxter moves appearing in a reduced decomposition of the longest element of the Coxeter group of type B_n is computed to be 2-4/n. For the same element,…
Reduced Decompositions and Permutation Patterns
Bridget Eileen Tenner
Billey, Jockusch, and Stanley characterized 321-avoiding permutations by a property of their reduced decompositions. This paper generalizes that result with a detailed study of per…
Tiling Parity Results and the Holey Square Solution
Bridget Eileen Tenner
We prove combinatorially that the parity of the number of domino tilings of a region is equal to the parity of the number of domino tilings of a particular subregion. Using this re…
A Non-Messing-Up Phenomenon for Posets
Bridget Eileen Tenner
We classify finite posets with a particular sorting property, generalizing a result for rectangular arrays. Each poset is covered by two sets of disjoint saturated chains such that…