Approximating Layout Problems on Random Geometric Graphs

  title={Approximating Layout Problems on Random Geometric Graphs},
  author={Josep D{\'i}az and Mathew D. Penrose and Jordi Petit and Maria J. Serna},
  journal={J. Algorithms},
In this paper, we study the approximability of several layout problems on a family of random geometric graphs. Vertices of random geometric graphs are randomly distributed on the unit square and are connected by edges whenever they are closer than some given parameter. The layout problems that we consider are: Bandwidth, Minimum Linear Arrangement, Minimum Cut Width, Minimum Sum Cut, Vertex Separation and Edge Bisection. We first prove that some of these problems remain NP-complete even for… CONTINUE READING


Publications referenced by this paper.
Showing 1-10 of 70 references

Random Graphs

  • S. Janson, T. Luczak, A. Rucinski
  • John Wiley and Sons, New York
  • 2000

Vertex ordering and partitioning problems for random spatial graphs

  • M. D. Penrose
  • Ann. Appl. Probab., 10(2):517–538
  • 2000
2 Excerpts

Similar Papers

Loading similar papers…