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Delta-matroids whose twist polynomials are monomials

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arxiv 2208.13258 v3 pith:4KGY77CC submitted 2022-08-28 math.CO

Delta-matroids whose twist polynomials are monomials

classification math.CO
keywords twistdelta-matroidsbinarydelta-matroidmonomialscharacterizationextendintroduced
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The twist polynomial of a delta-matroid was recently introduced by Yan and Jin, who proved a characterization of binary delta-matroids with twist monomials. In this paper, we extend this result to all delta-matroids by proving that any delta-matroid with a twist monomial must be binary.

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