The Uniqueness of Skeleton Presentation of Complete Bipartite Graph K_(m,_n)  

作　　者：Lin XIAO Guangyan SHEN Bin LI 

机构地区：[1]School of Mathematics and Statistics, Northeast Normal University

出　　处：《Journal of Mathematical Research with Applications》2013年第5期616-624,共9页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.11271063)

摘　　要：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.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.

关 键 词：complete bipartite graph skeleton presentation FLOOR ambient isotopy. 

分 类 号：O157.5[理学—数学]