论文标题

二进制三角洲 - 摩曲霉的扭曲

Twist monomials of binary delta-matroids

论文作者

Yan, Qi, Jin, Xian'an

论文摘要

最近,我们介绍了三角洲 - 摩托病的扭曲多项式,并给出了即使是正常的二进制三角形 - 甲状腺的表征,它们的扭曲多项式只有一个术语,并提出了一个问题:奇数二进制二进制二元甲状腺会发生什么?在本文中,我们表明,当扭曲多项式仅具有一个术语时,只有当且仅当Delta-Matroid的相交图的每个连接的组件是一个完整的奇数序图或带有回路的单个顶点时,其扭曲多项式仅具有一个项。

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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