Planar separators and parallel polygon triangulation

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Abstract

We show how to construct a O(√n)-separator decomposition of a planar graph in 0(n) time, and how to triangulate a simple polygon deterministi-cally in parallel in O(log n) time using O[n/log n) processors on a CRCW PRAM. Both of these results are based on exploiting more of the "tree structure" of these problems.

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Goodrich, M. T. (1992). Planar separators and parallel polygon triangulation. In Proceedings of the Annual ACM Symposium on Theory of Computing (Vol. Part F129722, pp. 507–516). Association for Computing Machinery. https://doi.org/10.1145/129712.129762

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