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Point Location in Arrangements of Hyperplanes

โœ Scribed by S. Meiser


Book ID
112252049
Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
748 KB
Volume
106
Category
Article
ISSN
0890-5401

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๐Ÿ“œ SIMILAR VOLUMES


EXTREMAL ARRANGEMENTS OF HYPERPLANES
โœ Thomas Zaslavsky ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 883 KB
Simplicial cells in arrangements of hype
โœ R. W. Shannon ๐Ÿ“‚ Article ๐Ÿ“… 1979 ๐Ÿ› Springer ๐ŸŒ English โš– 322 KB

Let ~ be an arrangement of n hyperplanes in pa, C(,~ยขt~) its cell complex, and Hany hyperplane of~Ze. It is proved: (I) If~ is not a near pencil then there are at least n -d -I simplicial d-cells of C(,,~), each having no facet in H. (2) There are at least d + I simplicial d-cells of C(~ยขt~), each h