Abstract. CAT(0) metric spaces constitute a far-reaching common generalization of Euclidean and hyperbolic spaces and simple polygons: any two points x and y of a CAT(0) metric spa...
Polygonal objects are characterized by the following well-known parameters: number of vertices, area, perimeter and so on. These parameters describe the data sets that are used in...
Thomas Brinkhoff, Hans-Peter Kriegel, Ralf Schneid...
We present a polynomial-time approximation scheme (PTAS) for the Steiner tree problem with polygonal obstacles in the plane with running time O(n log2 n), where n denotes the numb...