It is shown that there is an absolute positive constant δ > 0, so that for all positive integers k and d, there are sets of at least dδ log2(k+2)/log2 log2(k+2) nonzero vectors in Rd, in which any k + 1 members contain an orthogonal pair. This settles a problem of Füredi and Stanley.
|Original language||English (US)|
|Number of pages||4|
|Journal||Graphs and Combinatorics|
|State||Published - Dec 1 1999|
All Science Journal Classification (ASJC) codes
- Theoretical Computer Science
- Discrete Mathematics and Combinatorics