Kobayashi discussed some kinds of standard embeddings into 3-manifolds of spatial graphs. He introduced the concept of book presentation, which is a standard embedding of spatial graphs with good properties, and prove...Kobayashi discussed some kinds of standard embeddings into 3-manifolds of spatial graphs. He introduced the concept of book presentation, which is a standard embedding of spatial graphs with good properties, and proved that the book presentation of minimum sheets of Kn is unique up to the sheet translation and the ambient isotopy. In this present paper we give the definition of skeleton presentation presentation of minimum floors of a complete isotopy. of spatial graphs, and prove that the skeleton bipartite graph Km, is unique up to ambient.展开更多
基金Supported by the National Natural Science Foundation of China(Grant No.11271063)
文摘Kobayashi discussed some kinds of standard embeddings into 3-manifolds of spatial graphs. He introduced the concept of book presentation, which is a standard embedding of spatial graphs with good properties, and proved that the book presentation of minimum sheets of Kn is unique up to the sheet translation and the ambient isotopy. In this present paper we give the definition of skeleton presentation presentation of minimum floors of a complete isotopy. of spatial graphs, and prove that the skeleton bipartite graph Km, is unique up to ambient.