Linearly independent set families
โ Scribed by Friedhelm Eicker; Guenter Ewald
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 253 KB
- Volume
- 388
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The present paper describes an algorithm for constructing families of k-independent subsets & of {1,2, . . . , n} with &I >2ck", where c, = d/(k -1)2& and d is a certain constant. The algorithm has a polynomial complexity with respect to the size of the family constructed.
Error correcting codes are used to describe explicit collections Fk of subsets of {1, 2,... n}, with IFkl > 2 ckn (ck > 0), such that for any selections A, B of kl and k 2 of members of Fk with kl + k2 = k, there are elements in all the members of A and not in the members of B. This settles a proble
We study the minimum semidefinite rank of a graph using vector representations of the graph and of certain subgraphs. We present a sufficient condition for when the vectors corresponding to a set of vertices of a graph must be linearly independent in any vector representation of that graph, and conj