Coverage, fault tolerance and power consumption constraints make optimal placement of mobile sensors or other mobile agents a hard problem. We have developed a model for describin...
New tight bounds are presented on the minimum length of planar straight line graphs connecting n given points in the plane and having convex faces. Specifically, we show that the ...
Let G = (V, E) be a graph with n vertices and m ≥ 4n edges drawn in the plane. The celebrated Crossing Lemma states that G has at least Ω(m3 /n2 ) pairs of crossing edges; or ...
The crossing number, cr(G), of a graph G is the least number of crossing points in any drawing of G in the plane. According to the Crossing Lemma of Ajtai, Chv´atal, Newborn, Sze...
We describe an interactive system that models regions of an urban environment, such as a group of tall buildings. Traditional image-based modeling methods often cannot model such ...