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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,…
math.CO2005
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…