Proof of a conjecture of Meszaros and Morales on the volume of a flow polytope

TL;DR

This paper provides a detailed proof of a conjecture regarding the volume of a flow polytope, confirming a result independently sketched by Zeilberger, and clarifies the proof process.

Contribution

It offers a comprehensive and detailed proof of Meszaros and Morales's conjecture on flow polytope volume, aligning with Zeilberger's independent sketch.

Findings

Confirmed the conjecture on flow polytope volume

Provided a detailed proof for clarity

Aligned with Zeilberger's independent proof

Abstract

We prove a conjecture of Meszaros and Morales on the volume of a flow polytope. Independently from our work, Zeilberger sketched a proof of their conjecture. In fact, our proof is the same as Zeilberger's proof. The purpose of this note is to give a more detailed proof of the conjecture.