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The arrangement of cells in a net. II

โœ Scribed by D.A. Aboav


Publisher
Elsevier Science
Year
1983
Weight
470 KB
Volume
16
Category
Article
ISSN
0026-0800

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The complexity of cells in three-dimensi
โœ H. Edelsbrunner; D. Haussler ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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