Efficient Construction of a Bounded Degree Spanner with Low Weight

  title={Efficient Construction of a Bounded Degree Spanner with Low Weight},
  author={Sunil Arya and Michiel H. M. Smid},
Let S be a set of n points in IR and let t be a real number A t spanner for S is a graph having the points of S as its vertices such that for any pair p q of points there is a path between them of length at most t times the Euclidean distance between p and q An e cient implementation of a greedy algorithm is given that constructs a t spanner having bounded degree such that the total length of all its edges is bounded by O logn times the length of a minimum spanning tree for S The algorithm has… CONTINUE READING
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