论文标题
翻转二维高三角态
Flips in Two-dimensional Hypertriangulations
论文作者
论文摘要
我们研究了平面点集的大对三角仪的翻转。在这里，飞机上$ n $点的级别 - $ k $高三角剖分是由$ k $ - hypersimplex的投影引起的，它是标准$（n-1）$ - 单纯的$（k-1）$ - 尺寸面孔的barycenters的凸壳。特别是，我们引入了四种类型的翻转，并证明了2级高三角态与这些翻转相连。
We study flips in hypertriangulations of planar points sets. Here a level-$k$ hypertriangulation of $n$ points in the planes is a subdivision induced by the projection of a $k$-hypersimplex, which is the convex hull of the barycenters of the $(k-1)$-dimensional faces of the standard $(n-1)$-simplex. In particular, we introduce four types of flips and prove that the level-2 hypertriangulations are connected by these flips.
