Name
Abstract | ||
|---|---|---|
The normalized volume of the Chan–Robbins–Yuen polytope (\(CRY_n\)) is the product of consecutive Catalan numbers. The polytope \(CRY_n\) has captivated combinatorial audiences for over a decade, as there is no combinatorial proof for its volume formula. In their quest to understand \(CRY_n\) better, the third author and Morales introduced two natural generalizations of it and conjectured that their volumes are certain powers of 2 multiplied by a product of consecutive Catalan numbers. Zeilberger proved one of these conjectures. In this paper we present proofs of both conjectures. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1007/s00454-019-00066-1 | Discrete & Computational Geometry |
Keywords | DocType | Volume |
Flow polytope, Kostant partition function, Constant term identity, 52A38 | Journal | 65 |
Issue | ISSN | Citations |
2 | 1432-0444 | 0 |
PageRank | References | Authors |
0.34 | 1 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sylvie Corteel | 1 | 266 | 36.33 |
| Jang Soo Kim | 2 | 25 | 10.72 |
| Karola Mészáros | 3 | 13 | 4.71 |