Some Results on the Sandglass Conjecture
✍ Scribed by Rita Csákány
- Book ID
- 108498116
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 260 KB
- Volume
- 5
- Category
- Article
- ISSN
- 1571-0653
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
A,, be finite sers such that A,@ A, for all i \* j. Let F be an intencctlng family con&ting of sets contained in some A,. i = 1. 2. . . . n. I\_'hvital conjecl urtxl that among the largest irtersecting families. there is always a star. In Ihi\ pi per. we oNam another proof of a result of Schiinheim:
The Sendov conjecture may be stated as: If all zeros of a complex polynomial Ž . < < X Ž . < < p z lie in z F 1, then there is always a zero of p z in z y a F 1, where a is Ž . any zero of p z . We find several easy to apply conditions for which this conjecture is true for polynomials of degree n.
We present a conjecture concerning the optimal structure of a subset pair satisfying two dual requirements in a lattice that can be derived as the product of k finite length chains. The conjecture is proved for k = 2.