We study the problem how to draw a planar graph such that every vertex is incident to an angle greater than π. In general a straightline embedding cannot guarantee this property....
Given a triangulation of n points, with some triangles marked “good”, this paper discusses the problems of computing the largest-area connected set of good triangles that (i) ...
We propose a definition of locality for properties of geometric graphs. We measure the local density of graphs using region-counting distances [8] between pairs of vertices, and w...
We investigate a question initiated in the work of Sibley and Wagon, who proved that 3 colors suffice to color any collection of 2D parallelograms glued edge-to-edge. Their proof ...
Given two sets A and B of n points each in R2 , we study the problem of computing a matching between A and B that minimizes the root mean square (rms) distance of matched pairs. W...