Let P be a family of simple polygons in the plane. If every three (not necessarily distinct) members of P have a simply connected union and every two members of P have a nonempty intersection, then N{P:P in P) ยข ยข. Applying the result to a finite family C of orthogonally convex polygons, the set fq{
โฆ LIBER โฆ
Helly-type theorems for polygonal curves
โ Scribed by Konrad J. Swanepoel
- Book ID
- 108315717
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 162 KB
- Volume
- 254
- Category
- Article
- ISSN
- 0012-365X
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Suppose that G ifn a graph. A l-factor is a set of edges of G such that every vertex of G meets exactly one of its edges. Suppose that we have a set Y of l-factors of G such that any two l-factors vf Y have an edge in common. We investigate the following questions: (1) How large may Y be? (2) When