冠状系统的边界顶点的特征

Some features of boundary vertices of coronoid systems

就冠状系统和广义的单冠状系统,由欧拉公式给出了其边界上的2度顶点与3度顶点的关系:冠状系统G边界上的3度顶点数等于边界上的2度顶点数加6倍的非六角形内面数,然后减6;广义的单冠状系统H边界上的2度顶点数大于其3度顶点数加2.

In this paper, we investigate the features of vertices with degree 2 and vertices with degree 3 on the boundary of coronoid system and generalized single coronoid system： the number of vertices with degree 3, on the boundary of coronoid system G, is equal to the number of ver-tices with degree 2 adds the number of nonhexagonal interior faces of G multiplied by 6, and minus 6; meantime, for a generalized single coronoid system H, the number of vertices with degree 2, on the boundary of generalized single coronoid system H, is more than or equal to the number of vertices with degree 3 adds 2.