Introduces framed turbulence charts as a common generalization of framed DAGs and gentle algebras, with results on presentations, subdivisions, and triangulations of their unit flow polyhedra that recover the known cases.
Proof of a conjecture of Meszaros and Morales on the volume of a flow polytope
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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.
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math.CO 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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On the Common Generalization of Gentle Algebras and Framed Directed Acyclic Graphs
Introduces framed turbulence charts as a common generalization of framed DAGs and gentle algebras, with results on presentations, subdivisions, and triangulations of their unit flow polyhedra that recover the known cases.