Knots and links in spatial graphs: A survey

A spatial representation, R(G), of a graph G, is an embedded image of G in R3. A set of cycles in R(G) can be thought of as a set of simple closed curves in R3 and thus they may be regarded as a link in R3. A recent area of research investigates the dependence (or independence) of the link types on the structure of the abstract graph G itself rather than on specific spatial representations of G. In this article, we survey what is known today.