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THE JOINTS PROBLEM IN Rn.
- Source :
- SIAM Journal on Discrete Mathematics; 2009, Vol. 23 Issue 4, p2211-2213, 3p
- Publication Year :
- 2009
-
Abstract
- We show that given a collection of A lines in ℝ<superscript>n</superscript>, n ≥ 2, the maximum number of their joints (points incident to at least n lines whose directions form a linearly independent set) is O(A<superscript>n/(n-1)</superscript>). An analogous result for smooth algebraic curves is also proven. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 08954801
- Volume :
- 23
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- SIAM Journal on Discrete Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 51789541
- Full Text :
- https://doi.org/10.1137/090763160