SOME NEW INTRINSICALLY 3-LINKED GRAPHS
Garry Bowlin, Joel Foisy · Journal of Knot Theory and Its Ramifications · 2004
In [2], it was shown that every spatial embedding of K10, the complete graph on ten vertices, contains a non-split 3-component link (K10 is intrinsically 3-linked). We improve this result by exhibiting two different subgraphs of K10 that also have this property. In addition, we also exhibit several families of graphs that are intrinsically 3-linked.