We prove the meridional rank conjecture for twisted links and arborescent links associated to bipartite trees with even weights. These are substantial generalizations of pretzel links and two-bridge links. Lower bounds on meridional rank are obtained via Coxeter quotients of the groups of link complements. Matching upper bounds on bridge number are obtained using the Wirtinger number of a link diagram, a combinatorial technique developed in conjunction with this work.

中文翻译：

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Coxeter 群和链接的经向等级

我们证明了与具有偶数权重的二部树相关联的扭曲链接和树状链接的经向秩猜想。这些是椒盐卷饼链接和双桥链接的实质性概括。子午秩的下限是通过链接互补组的 Coxeter 商获得的。使用链接图的 Wirtinger 数获得桥数的匹配上限，这是一种与这项工作一起开发的组合技术。