论文标题
$ \ mathbb {r}^3 $的polyhedra的Steinitz定理的类似物
An analogue of a theorem of Steinitz for ball polyhedra in $\mathbb{R}^3$
论文作者
论文摘要
Steinitz的定理指出，图$ g $是$ 3 $维的凸polyhedron的边缘图，并且仅当且仅当$ g $很简单，飞机和$ 3 $连接。我们证明了该定理的Ball Polyhedra定理，也就是说，对于有限的许多单位球的交集，$ \ Mathbb {r}^3 $。
Steinitz's theorem states that a graph $G$ is the edge-graph of a $3$-dimensional convex polyhedron if and only if, $G$ is simple, plane and $3$-connected. We prove an analogue of this theorem for ball polyhedra, that is, for intersections of finitely many unit balls in $\mathbb{R}^3$.
