arXiv
Open Access
2009
Graph-Theoretic Solutions to Computational Geometry Problems
David Eppstein
Abstrak
Many problems in computational geometry are not stated in graph-theoretic terms, but can be solved efficiently by constructing an auxiliary graph and performing a graph-theoretic algorithm on it. Often, the efficiency of the algorithm depends on the special properties of the graph constructed in this way. We survey the art gallery problem, partition into rectangles, minimum-diameter clustering, rectilinear cartogram construction, mesh stripification, angle optimization in tilings, and metric embedding from this perspective.
Topik & Kata Kunci
Penulis (1)
D
David Eppstein
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2009
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