Geodesic
The cd-indices of intervals in the uncrossing partial order on matchings
Younghwan Kim1
1Arizona State University
The electronic journal of combinatorics, Tome 26 (2019) no. 1
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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 $P_n$. We explicitly describe the matchings by constructing an order-reversing bijection. We obtain a recursion for the ab-indices of intervals in the poset $\hat{P}_n$, the poset $P_n$ with a unique minimum $\hat0$ adjoined.
DOI : 10.37236/7429
Classification : 06A07, 06A11, 05D15

Younghwan Kim  1

1 Arizona State University 
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Younghwan Kim. The cd-indices of intervals in the uncrossing partial order on matchings. The electronic journal of combinatorics, Tome 26 (2019) no. 1. doi: 10.37236/7429

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