Abstract. Given a set P of points and a set S of pairwise disjoint axis-parallel line segments in the plane, we construct a straight line spanning tree T on P such that every segme...
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
Soss proved that it is NP-hard to find the maximum flat span of a fixed-angle polygonal chain: the largest distance achievable between the endpoints in a planar embedding. These f...
Origami is the centuries-old art of folding paper, and recently, it is investigated as science. In this paper, another hundreds-old art of folding paper, a pop-up book, is studied...
Given a simple polygon P with m vertices and a set S of n points in the plane, we consider the problem of finding a rigid motion placement of P that contains the maximum number of...
We study the problem of finding small weak -nets in three dimensions and provide new upper and lower bounds on the value of for which a weak -net of a given small constant size e...
A path from s to t on a polyhedral terrain is descending if the height of a point p never increases while we move p along the path from s to t. No efficient algorithm is known to ...
Geometric constraints solving often relies on graphbased methods to decompose systems of geometric constraints. These methods have intrinsic and unavoidable limitations which are ...