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- W2022602967 abstract "The Narayana numbers are N(n,k)=(1/n)nknk+1. There are several natural statistics on Dyck paths with a distribution given by N(n,k). We show the equidistribution of Narayana statistics by computing the flag h-vector of J(2×n) in different ways. In the process we discover new Narayana statistics and provide co-statistics for the Narayana statistics so that the bi-statistics have a distribution given by Fürlinger and Hofbauer's q-Narayana numbers. We interpret the flag h-vector in terms of semi-standard Young tableaux, which enables us to express the q-Narayana numbers in terms of Schur functions. We also introduce what we call pre-shellings of simplicial complexes." @default.
- W2022602967 created "2016-06-24" @default.
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- W2022602967 date "2004-04-01" @default.
- W2022602967 modified "2023-10-05" @default.
- W2022602967 title "q-Narayana numbers and the flag h-vector of J(2×n)" @default.
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- W2022602967 doi "https://doi.org/10.1016/j.disc.2003.07.006" @default.
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