The Library
An exact Turán result for the generalized triangle
Tools
Tools
Tools
Pikhurko, Oleg (2008) An exact Turán result for the generalized triangle. Combinatorica, Vol.28 (No.2). pp. 187-208. doi:10.1007/s00493-008-2187-2
Research output not available from this repository, contact author.
Official URL: http://dx.doi.org/10.1007/s00493-008-2187-2
Abstract
Let Σ k consist of all k-graphs with three edges D 1, D 2, D 3 such that |D 1 ∩ D 2| = k − 1 and D 1 Δ D 2 ⊆ D 3. The exact value of the Turán function ex(n, Σ k ) was computed for k = 3 by Bollobás [Discrete Math. 8 (1974), 21-24] and for k = 4 by Sidorenko [Math Notes 41 (1987), 247-259].
Let the k-graph T k ∈ Σ k have edges Frankl and Füredi [J. Combin. Theory Ser. (A) 52 (1989), 129-147] conjectured that there is n 0 = n 0(k) such that ex(n, T k ) = ex(n, Σ k ) for all n ≥ n 0 and had previously proved this for k = 3 in [Combinatorica 3 (1983), 341-349]. Here we settle the case k = 4 of the conjecture.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science > Mathematics | ||||
| Journal or Publication Title: | Combinatorica | ||||
| Publisher: | Springer | ||||
| ISSN: | 0209-9683 | ||||
| Official Date: | March 2008 | ||||
| Dates: |
|
||||
| Volume: | Vol.28 | ||||
| Number: | No.2 | ||||
| Page Range: | pp. 187-208 | ||||
| DOI: | 10.1007/s00493-008-2187-2 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
