149 citations · 262 across the 21 of their papers we have counts for
27 papers
Volumes and Ehrhart polynomials of flow polytopes
Karola Mészáros, Alejandro H. Morales
The Lidskii formula for the type root system expresses the volume and Ehrhart polynomial of the flow polytope of the complete graph with nonnegative integer netflows in terms…
Volumes of generalized Chan-Robbins-Yuen polytopes
Sylvie Corteel, Jang Soo Kim, Karola Mészáros
The normalized volume of the Chan-Robbins-Yuen polytope () is the product of consecutive Catalan numbers. The polytope has captivated combinatorial audiences for ove…
Flow polytopes and the space of diagonal harmonics
Ricky Ini Liu, Karola Mészáros, Alejandro H. Morales
A result of Haglund implies that the -bigraded Hilbert series of the space of diagonal harmonics is a -Ehrhart function of the flow polytope of a complete graph with…
On flow polytopes, order polytopes, and certain faces of the alternating sign matrix polytope
Karola Mészáros, Alejandro H. Morales, Jessica Striker
In this paper we study an alternating sign matrix analogue of the Chan-Robbins-Yuen polytope, which we call the ASM-CRY polytope. We show that this polytope has Catalan many vertic…
Toric matrix Schubert varieties and their polytopes
Laura Escobar, Karola Meszaros
Given a matrix Schubert variety , it can be written as (where is maximal possible). We characterize when is toric…
Calculating Greene's function via root polytopes and subdivision algebras
Karola Meszaros
Greene's rational function is a sum of certain rational functions in over the linear extensions of the poset (which has elements…