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Weak epsilon-nets for points on a hypersphere

Bradford, Phillip G. and Capoyleas, Vasilis

MPI-I-95-1-029. October 1995, 8 pages. | Status: available - back from printing | Next --> Entry | Previous <-- Entry

Abstract in LaTeX format:

We present algorithms for the two layer straightline crossing
minimization problem that are able to compute exact optima.
Our computational results lead us to the conclusion that there
is no need for heuristics if one layer is fixed, even though
the problem is NP-hard, and that for the general problem with
two variable layers, true optima can be computed for sparse
instances in which the smaller layer contains up to 15 nodes.
For bigger instances, the iterated barycenter method turns out
to be the method of choice among several popular heuristics
whose performance we could assess by comparing the results
to optimum solutions.
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  AUTHOR = {Bradford, Phillip G. and Capoyleas, Vasilis},
  TITLE = {Weak epsilon-nets for points on a hypersphere},
  TYPE = {Research Report},
  INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
  ADDRESS = {Im Stadtwald, D-66123 Saarbr{\"u}cken, Germany},
  NUMBER = {MPI-I-95-1-029},
  MONTH = {October},
  YEAR = {1995},
  ISSN = {0946-011X},