The Steiner Ratio for Obstacle-Avoiding Rectilinear Steiner Trees

نویسندگان

  • Mina Razaghpour
  • Anna Lubiw
چکیده

We consider the problem of finding a shortest rectilinear Steiner tree for a given set of points in the plane in the presence of rectilinear obstacles that must be avoided. We extend the Steiner ratio to the obstacle-avoiding case and show that it is equal to the Steiner ratio for the obstacle-free case.

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تاریخ انتشار 2008