The volume of the caracol polytope

zbMath1415.52005MaRDI QIDQ2632729

Carolina Benedetti, Alejandro H. Morales, Christopher R. H. Hanusa, Apoorva Khare, Rafael S. González D'León, Pamela E. Harris, Martha Yip

Publication date: 15 May 2019

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: http://www.mat.univie.ac.at/~slc/wpapers/FPSAC2018//87-AIM2016.html

zbMATH Keywords

Catalan numberparking functionKostant partition functionflow polytopeLidskii formulalabeled Dyck path

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Length, area, volume and convex sets (aspects of convex geometry) (52A38)

Uses Software

• OEIS

Cites Work

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• Flow polytopes with Catalan volumes
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• On flow polytopes, order polytopes, and certain faces of the alternating sign matrix polytope
• A Survey of Alternating Permutations
• On the Volume of a Certain Polytope
• A combinatorial model for computing volumes of flow polytopes