A set of n nonconcurrent lines in the projective plane (called an arrangement) divides the plane into polygonal cells. It has long been a problem to find a nontrivial upper bound on the number of triangular regions. We show that &n(n -1) is such a bound. We also show that if no three lines are concu
Arrangements of lines and pseudolines without adjacent triangles
✍ Scribed by Dragoslav Ljubić; Jean-Pierre Roudneff; Bernd Sturmfels
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 421 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0097-3165
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