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g-Positivity for Paving Matroids

Yiyu Wang

Source record

Source: arXiv

Published: Sep 24, 2026

arXiv: 2609.30597

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Source abstract

We prove that the g-polynomial of every paving matroid has nonnegative coefficients. Our proof combines a deletion-contraction argument with an elementary coefficient inequality for the g-polynomials of uniform matroids.

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g-Positivity for Paving Matroids — Mathematical Frontier Network