Total Curvature of Graphs in Space
Total Curvature of Graphs in Space
The Fáry-Milnor Theorem says that any embedding of the circle S 1 into R 3 of total curvature less than 4π is unknotted.More generally, a (finite) graph consists of a finite number of edges and vertices.Given a topological type of graphs Γ, what limitations on the isotopy class of Γ …