Tree-weighted neighbors and geometric k smallest spanning trees

نویسنده

  • David Eppstein
چکیده

We compute the k smallest spanning trees of a point set in the planar Euclidean metric in time O(n log n log k+kmin(k, n) log(k/n)), and in the rectilinear metrics in time O(n log n + n log logn log k + kmin(k, n) log(k/n)). In three or four dimensions our time bound is O(n + kmin(k, n) log(k/n)), and in higher dimensions the bound is O(n2−2/(dd/2e+1)+2 + kn log n).

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عنوان ژورنال:
  • Int. J. Comput. Geometry Appl.

دوره 4  شماره 

صفحات  -

تاریخ انتشار 1994