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Nonnegativity of the $g$-polynomial of split matroids

Gao, Alice L. L. et al.
arXiv (All) · Papers
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combinatorics
We prove that the $g$-polynomial of every split matroid has nonnegative coefficients, establishing Speyer's conjecture for a class closed under taking minors and containing all paving and copaving matroids. Our proof uses a deletion--contraction identity obtained by constructing an auxiliary split m
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