The present paper is a review of the current state of Graph-Link Theory
(graph-links are also closely related to homotopy classes of looped
interlacement graphs), dealing with a generalisation of knots obtained by
translating the Reidemeister moves for links into the language of intersection
graphs of chord diagrams. In this paper we show how some methods of classical
and virtual knot theory can be translated into the language of abstract graphs,
and some theorems can be reproved and generalised to this graphical setting. We
construct various invariants, prove certain minimality theorems and construct
functorial mappings for graph-knots and graph-links. In this paper, we first
show non-equivalence of some graph-links to virtual links.Comment: 32 pages, 21 figure