五个顶点的完全图的边同伦与delta顶点同伦分类  

Edge-Homotopy and Delta Vertex-Homotopy Classification of Spatial Complete Graphs on Five Vertices

作　　者：陈娟娟[1] 赵风群[1] 薛秋芳[1] 

机构地区：[1]西安理工大学理学院,陕西西安710048

出　　处：《西安理工大学学报》2008年第1期119-121,共3页Journal of Xi'an University of Technology

基　　金：西安理工大学科研基金资助项目(108-210715)

摘　　要：研究了五个顶点的完全图K5的边同伦分类,证明了K5的两个空间嵌入是边同伦的,当且仅当它们有相同的α-不变量。并举例说明了对存在着无限多个边同伦而非delta顶点同伦的空间嵌入。The edge-hcmotopy classification of the complete graph Ks on 5 vertices are studied in this paper. It has been proven that the two spatial emheddings of K5 are edge-homotopic, if and only if they have the same α-invariant. Also,an example is given to show that there are many infinite spatial embeddings of Ks up to delta vertex-homotopy which are mutually edge-homotopic.

关 键 词：空间嵌入 α-不变量 delta顶点同伦 边同伦 

分 类 号：O189.3[理学—数学]