The cd-indices of intervals in the uncrossing partial order on matchings (Q1732037)
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scientific article; zbMATH DE number 7036509
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The cd-indices of intervals in the uncrossing partial order on matchings |
scientific article; zbMATH DE number 7036509 |
Statements
The cd-indices of intervals in the uncrossing partial order on matchings (English)
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15 March 2019
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Summary: 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 \(\hat{0}\) adjoined.
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