c-Birkhoff polytopes are unimodularly equivalent to the order polytopes of the heap posets of the c-sorting words of the longest permutation.
Two poset polytopes
2 Pith papers cite this work. Polarity classification is still indexing.
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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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$c$-Birkhoff polytopes
c-Birkhoff polytopes are unimodularly equivalent to the order polytopes of the heap posets of the c-sorting words of the longest permutation.
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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.