We introduce and analyze σ-local graphs, based on a definition of locality by Erickson [12]. We present two algorithms to construct such graphs, for any real number σ > 1 an...
We study the expected number of interior vertices of degree i in a triangulation of a point set S, drawn uniformly at random from the set of all triangulations of S, and derive va...
Abstract. The typical use of force-directed layout is to create organiclooking, straight-edge drawings of large graphs while combinatorial techniques are generally preferred for hi...
A thrackle is a drawing of a simple graph on the plane, where each edge is drawn as a smooth arc with distinct end-points, and every two arcs have exactly one common point, at whi...
Wei Li 0011, Karen Daniels, Konstantin A. Rybnikov
Most methods for generating Euler diagrams describe the detection of the general structure of the final draw as the first and most important step. This information is often depi...