Improved local algorithms for spanner construction

  • Authors:
  • Iyad A. Kanj;Ge Xia

  • Affiliations:
  • School of Computing, DePaul University, 243 S. Wabash Avenue, Chicago, IL 60604, USA;Department of Computer Science, Acopian Engineering Center, Lafayette College, Easton PA 18042, USA

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2012

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Abstract

Let S be a set of n points in the plane, let E be the complete Euclidean graph whose point set is S, and let G be the Delaunay triangulation of S. We present a very simple local algorithm that, given G, constructs a subgraph of G of degree at most 11 that is a geometric spanner of G with stretch factor 2.86, and hence a geometric spanner of E with stretch factor