论文标题
用顶点组合参数化富勒烯
Parameterizing Fullerenes with Vertex Combinations
论文作者
论文摘要
富勒烯图可以嵌入到分段线性的2个manifold中，每个非甲状腺碳环对应于锥顶点。相邻的两个或三个这样的顶点可以与从父圆锥形圆形圆锥形的群集结合在一起。组合顶点的位置与某些对称性分布在其父锥上。通过适当的组合，可以将富勒烯简化为母体结构，以便于参数化。然后，对于每个集群中组合的顶点的其他参数，富勒烯也可以被参数化。从类型到类型的富勒烯，此类参数可能有所不同，但是它们能够表征每种类型的特定形状。
A fullerene graph can be embedded in a piecewise linear 2-manifold with each non-hexagonal carbon ring corresponding to a cone vertex. Adjacent two or three such vertices can be combined as a cluster cut out from a parent cone round a parent vertex. The locations for the combined vertices are distributed on their parent cone with certain symmetries. With proper combinations, a fullerene can be simplified to a parent structure easily to be parameterized. And then, with additional parameters for the combined vertices in each cluster, the fullerene can also be parameterized. Such parameters may be different for fullerenes from type to type, but they are able to characterize the specific shape for each type.
