Within the geographic domain, an important class of relies on geometric abstractions in the form of lines where, for instance, transportation networks and trajectories of movement...
It is shown that for a set S of n pairwise disjoint axis-parallel line segments in the plane there is a simple alternating path of length ( n). This bound is best possible in the...
To produce high quality drawings of graphs with nodes drawn as shapes it is important to find routes for the edges which do not intersect node boundaries. Recent work in this area...
Barrier coverage in a sensor network has the goal of ensuring that all paths through the surveillance domain joining points in some start region S to some target region T will inte...
We initiate an investigation of sublinear algorithms for geometric problems in two and three dimensions. We give optimal algorithms for intersection detection of convex polygons a...