All lattice path matroids are Ehrhart positive, unifying prior results and implying positivity for Schubert matroids while supporting conjectures on positroids and Schubitopes.
Rank polynomials of fence posets are uni- modal
3 Pith papers cite this work. Polarity classification is still indexing.
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math.CO 3years
2026 3verdicts
UNVERDICTED 3representative citing papers
Multiple equivalent combinatorial expansion formulas are given for generalized cluster algebras from arcs on punctured orbifolds, generalizing prior surface and orbifold cases.
Establishes that traces of q-deformed higher continued fraction matrices equal dimer partition functions on good higher dimers of band graphs and proves lattice structure plus palindromic symmetry for certain families.
citing papers explorer
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Ehrhart positivity for lattice path matroids
All lattice path matroids are Ehrhart positive, unifying prior results and implying positivity for Schubert matroids while supporting conjectures on positroids and Schubitopes.
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Cluster Expansions from Punctured Orbifolds
Multiple equivalent combinatorial expansion formulas are given for generalized cluster algebras from arcs on punctured orbifolds, generalizing prior surface and orbifold cases.
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Higher $q$-Continued Fractions and Dimers on Band Graphs
Establishes that traces of q-deformed higher continued fraction matrices equal dimer partition functions on good higher dimers of band graphs and proves lattice structure plus palindromic symmetry for certain families.