Compact Routing on Euclidian Metrics

  • I. Abraham ,
  • Dahlia Malkhi

Twenty-Third Annual ACM SIGACT-SIGOPS Symposium on Principles of Distributed Computing (PODC 2004) |

We consider the problem of designing a compact communication network that supports efficient routing in an Euclidean plane. Our network design and routing scheme achieves 1 +  stretch, logarithmic diameter, and constant out degree. This improves upon the best known result so far that requires a logarithmic out-degree. Furthermore, our scheme is asymptotically optimal in Euclidean metrics whose diameter is polynomial.