论文标题
强烈涉及的自偶联polyhedra
Strongly involutive self-dual polyhedra
论文作者
论文摘要
多面体是一个简单，平面和3连接的图形$ g $。在本说明中，我们对强烈涉及的自偶有多面体的家族进行了分类。后者是通过使用特征表征3个连接图的Tutte来完成的。我们还表明，这种特殊的Polyhedra自以为是作为对映射的拓扑表现。这些自偶有的polyhedra与凸面和离散几何形状中的几个问题有关，包括vázsonyi问题。
A polyhedron is a graph $G$ which is simple, planar and 3-connected. In this note, we classify the family of strongly involutive self-dual polyhedra. The latter is done by using a well-known result due to Tutte characterizing 3-connected graphs. We also show that this special class of polyhedra self-duality behaves topologically as the antipodal mapping. These self-dual polyhedra are related with several problems in convex and discrete geometry including the Vázsonyi problem.
