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Vertical Decomposition of a Single Cell in a Three-Dimensional Arrangement of Surfaces

โœ Scribed by Schwarzkopf, O.; Sharir, M.

Book ID
113012501
Publisher
Springer
Year
1997
Tongue
English
Weight
352 KB
Volume
18
Category
Article
ISSN
0179-5376

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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