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Classification of arrangements by the number of their cells

✍ Scribed by Nicola Martinov


Publisher
Springer
Year
1993
Tongue
English
Weight
294 KB
Volume
9
Category
Article
ISSN
0179-5376

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The complexity of cells in three-dimensi
✍ H. Edelsbrunner; D. Haussler πŸ“‚ Article πŸ“… 1986 πŸ› Elsevier Science 🌐 English βš– 439 KB

A set of m planes dissects E3 into cells, facets, edges and vertices. Letting deg(c) be the number of facets that bound a cell c, we give exact and asymptotic bounds on the maximum of Crincdeg(c), if C is a family of cells of the arrangement with fixed cardinality. \* Research reported in the paper