CCCG
2010
14 years 2 months ago
2010
In the Euclidean TSP with neighborhoods (TSPN), we are given a collection of n regions (neighborhoods) and we seek a shortest tour that visits each region. In the path variant, we...
CCCG
2010
14 years 2 months ago
2010
Given k labelings of a finite d-dimensional grid, define the combined distance between two labels to be the sum of the 1-distance between the two labels in each labeling. We prese...
CCCG
2010
14 years 2 months ago
2010
The projection median of a finite set of points in R2 was introduced by Durocher and Kirkpatrick [5]. They proved the projection median in R2 provides a better approximation of th...
CCCG
2010
14 years 2 months ago
2010
We prove that any finite set of half-planes can be colored by two colors so that every point of the plane, which belongs to at least three half-planes in the set, is covered by ha...
CCCG
2010
14 years 2 months ago
2010
The cluster connecting problem inside a simple polygon is introduced in this paper. The problem is shown to be NP-complete. A log n-factor approximation algorithm is proposed.
CCCG
2010
14 years 2 months ago
2010
A dominating set of a graph G = (V, E) is a subset V V of the nodes such that for all nodes v V , either v V or a neighbor u of v is in V . Several routing protocols in ad hoc ...
CCCG
2010
14 years 2 months ago
2010
We investigate experimentally the Domatic Partition (DP) problem, the Independent Domatic Partition (IDP) problem and the Idomatic partition problem in Random Geometric Graphs (RG...
CCCG
2010
14 years 2 months ago
2010
A zone diagram is a relatively new concept which has emerged in computational geometry and is related to Voronoi diagrams. Formally, it is a fixed point of a certain mapping, and ...
CCCG
2010
14 years 2 months ago
2010
We show that the size of the perimeter of (, )-covered objects is a linear function of the diameter. Specifically, for an (, )-covered object O, per(O) c diam(O) sin2 , for a pos...