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Showing 2012 · math.COShow all
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math.CO2012★ 19 cited
Permutations with given peak set
Sara Billey, Krzysztof Burdzy, Bruce Sagan
Let Sym_n denote the symmetric group of all permutations pi = a_1...a_n of {1,...,n}. An index i is a peak of pi if a_{i-1} < a_i > a_{i+1} and we let P(pi) be the set of peaks of…
math.CO2012★ 1 cited
General Eulerian Numbers and Eulerian Polynomials
Tingyao Xiong, Hung-ping Tsao, Jonathan I. Hall
In this paper, we will define general Eulerian numbers and Eulerian polynomials based on general arithmetic progressions. Under the new definitions, we have been successful in exte…