Planar posets can have arbitrarily large dimension. However, a planar poset of height h has dimension at most 192 h + 96, while a planar poset with t minimal elements has dimension at most 2 t + 1. In particular, a planar poset with a unique minimal element has dimension at most 3. In this paper, we extend this result by showing that a planar poset has dimension at most 6 if it has a plane diagram in which every minimal element is accessible from below.

中文翻译：

---

可从下方访问的平面姿势集的维度最多为 6

平面偏序集可以具有任意大的维度。然而，高度为 h 的平面偏序集的维度最多为 192 h + 96，而具有 t 个最小元素的平面偏序集的维度最多为 2 t + 1。特别是，具有唯一最小元素的平面偏序集的维度最多为 3在本文中，我们扩展了这个结果，表明如果平面偏序集具有一个平面图，其中每个最小元素都可以从下面访问，那么它的维度最多为 6。