The cd-Indices of Intervals in the Uncrossing Partial Order on Matchings
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.
2019 ◽
Vol 7
(1)
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pp. 424-430
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2021 ◽
Vol 1764
(1)
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pp. 012046
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2017 ◽
Vol 16
(2)
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pp. 1-34
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2014 ◽
Vol 91
(1)
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pp. 104-115
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1984 ◽
pp. 403-413
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