A study of knot-graphs
John C. Turner · Bulletin of the Australian Mathematical Society · 1985
This thesis is an account of studies made of knot projections, the tools used being graph-theoretic methods and extensions of them. The basic tool is the adjacency matrix. In fact several kinds of adjacency matrix are defined for knot diagrams which are either nonoriented or are given orientations which reflect certain topological properties of the knots concerned.