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The peak statistics on simsun permutations | Shi-Mei Ma
; Yeong-Nan Yeh
; | Date: |
25 Jan 2016 | Abstract: | In this paper, we study the relationship among left peaks, interior peaks and
up-down runs of simsun permutations. Properties of the generating polynomials,
including the recurrence relation, generating function and real-rootedness are
studied. Moreover, we give a constructive proof of a connection between the
number of simsun permutations of length n with k descents and the number of
permutations of {1,2,...,n+1} with k interior peaks. | Source: | arXiv, 1601.6505 | Services: | Forum | Review | PDF | Favorites |
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