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20242026
most citedThe Chow and augmented Chow polynomials of uniform matroids

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math.CO2025

Extending the ab-index

Elena Hoster, Christian Stump, Lorenzo Vecchi

We prove for finite, graded, bounded posets, that the Poincaré-extended ab-index is obtained from the ab-index via the omega-transformation. This proves a conjecture by Dorpalen-Ba…

math.CO2025

Chow polynomials of simplicial posets with positive -vector are real-rooted

Elena Hoster, Christian Stump

We prove that a finite graded simplicial poset with a top element added has real-rooted Chow and augmented Chow polynomials whenever it has a positive -vector. This class of pos…