A Robust PTAS for Maximum Weight Independent Sets in Unit Disk Graphs

A unit disk graph is the intersection graph of unit disks in the euclidean plane. We present a polynomial-time approximation scheme for the maximum weight independent set problem in unit disk graphs. In contrast to previously known approximation schemes, our approach does not require a geometric representation (specifying the coordinates of the disk centers). The approximation algorithm presented is robust in the sense that it accepts any graph as input and either returns a (1 + ε)-approximate independent set or a certificate showing that the input graph is no unit disk graph. The algorithm can easily be extended to other families of intersection graphs of geometric objects.

• Type: Conference
• Year: 2004
• Where: WG
• Authors: Tim Nieberg, Johann Hurink, Walter Kern
• Keywords: Approximation Schemes, Computer Science, Intersection Graphs, Unit Disk Graph, WG 2004