Spatial Graphs and Oriented Matroids: the Trefoil |
| |
| Authors: | J. L. Ramirez Alfonsin |
| |
| Affiliation: | (1) Instituto de Matemáticas, Universidad Nacional Autónoma de México, Area de la Investigación Cientifica, Circuito Exterior C.U., Mexico D.F. 04510, MX |
| |
| Abstract: | Let m=m(K) be the smallest positive integer such that every linear spatial representation of the complete graph with n vertices, n ≥ m , contains either the knot K or its mirror . In this paper we show that m(Trefoil)=7 . The proof uses the theory of oriented matroids. Received July 8, 1997, and in revised form January 16, 1998. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
