The cd-indices of intervals in the uncrossing partial order on matchings

نویسنده

  • Younghwan Kim
چکیده

We study flag enumeration in intervals in the uncrossing partial order on matchings. We produce a recursion for the cd-indices of intervals in the uncrossing poset Pn. We explicitly describe the matchings by constructing an order-reversing bijection. We obtain a recursion for the ab-indices of intervals in the poset P̂n, the poset Pn with a unique minimum 0̂ adjoined.

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تاریخ انتشار 2017