Now showing items 1-3 of 3

    • Guarding Terrains Via Local Search 

      Gibson, Matthew; Kanade, Gaurav; Krohn, Erik; Varadarajan, Kasturi (Journal of Computational Geometry;Vol. 5 No. 1, 2014-05-30)
      We obtain a polynomial time approximation scheme for the terrain guarding problem improving upon several recent constant factor approximations. Our algorithm is a local search algorithm inspired by the recent results of ...
    • On Clustering to Minimize the Sum of Radii 

      Gibson, Matt; Kanade, Gaurav; Krohn, Erik; Pirwani, Imran; Varadarajan, Kasturi (SIAM Journal on Computing;41(1), 2012-01-05)
      Let P be a set of n points in the plane. Consider the problem of finding k disks, each centered at a point in P, whose union covers P with the objective of minimizing the sum of the radii of the disks. We present an exact ...
    • On Isolating Points Using Unit Disks 

      Gibson, Matthew; Kanade, Gaurav; Penninger, Rainer; Varadarajan, Kasturi; Vigo, Ivo (Journal of Computational Geometry;Vol. 7 No. 1, 2016)
      Given a set of points in the plane and a set of disks which separate the points, we consider the problem of selecting a minimum size subset of the disks such that any path between any pair of points is intersected by at ...