Twist monomials of binary delta-matroids

Qi Yan; Xian'an Jin

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arXiv · 2205.03487

Twist monomials of binary delta-matroids

Qi Yan·Xian'an Jin

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Abstract

Recently, we introduced the twist polynomials of delta-matroids and gave a characterization of even normal binary delta-matroids whose twist polynomials have only one term and posed a problem: what would happen for odd binary delta-matroids? In this paper, we show that a normal binary delta-matroid whose twist polynomials have only one term if and only if each connected component of the intersection graph of the delta-matroid is either a complete graph of odd order or a single vertex with a loop.

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Qi Yan, Xian'an Jin. 2022-05-06. Twist monomials of binary delta-matroids. https://arxiv.org/abs/2205.03487

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