Fast Approximation Schemes for Euclidean Multi-connectivity Problems

  title={Fast Approximation Schemes for Euclidean Multi-connectivity Problems},
  author={Artur Czumaj and Andrzej Lingas},
We present new polynomial-time approximation schemes (PTA S) for several basic minimum-cost multi-connectivity problems i n geometrical graphs. We focus on low connectivity requirements. Each of our schem es either significantly improves the previously known upper time-bound or is the first PTAS for the considered problem. We provide a randomized approximation scheme for finding a bi connected graph spanning a set of points in a multi-dimensional Euclidean sp ace and having the expected total… CONTINUE READING
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