New Upper Bound on the Transversal Width of T(3)-Families of Discs
✍ Scribed by Aladár Heppes
- Publisher
- Springer
- Year
- 2005
- Tongue
- English
- Weight
- 250 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0179-5376
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📜 SIMILAR VOLUMES
## Abstract It is known that a planar graph on __n__ vertices has branch‐width/tree‐width bounded by $\alpha \sqrt {n}$. In many algorithmic applications, it is useful to have a small bound on the constant α. We give a proof of the best, so far, upper bound for the constant α. In particular, for th
Let D = {B1 , B2 , . . . , B b } be a finite family of k-subsets (called blocks) of a vset X(v) = {1, 2, . . . , v} (with elements called points). Then D is a (v, k, t) covering design or covering if every t-subset of X(v) is contained in at least one block of D. The number of blocks, b, is the size