Intrinsically n-linked Complete Bipartite Graphs
Abstract
Description
We prove that every embedding of $K_{2n+1,2n+1}$ into $\R^3$ contains a non-split link of $n$-components. Further, given an embedding of $K_{2n+1,2n+1}$ in $\R^3$, every edge of $K_{2n+1,2n+1}$ is contained in a non-split $n$-component link in $K_{2n+1,2n+1}$.
8 pages, LaTex; corrected proof and added thm and cor
8 pages, LaTex; corrected proof and added thm and cor