Tetsuo Asano and Günter Rote:

Constant-working-space algorithms for geometric problems

Manuscript, submitted for publication, Proceedings of the 21st Canadian Conference on Computational Geometry, Vancouver, August 17–19, 2009, 4 pages.


We present an algorithm for constructing the Delaunay triangulation of n given points in the plane. It runs in O(n2) time using only constant working space (more precisely, O(log n) bits in total) with input data on a read-only array. We apply it to construct the Voronoi diagram in O(n2) time and Euclidean minimum spanning tree in O(n3) time in the same model.

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Last update: May 8, 2009.