Authors: | Blagojević, Pavle Bukh, Boris Karasev, Roman |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Turán numbers for Ks,t-free graphs: Topological obstructions and algebraic constructions | Journal: | Israel Journal of Mathematics | Volume: | 197 | Issue: | 1 | First page: | 199 | Last page: | 214 | Issue Date: | 1-Oct-2013 | Rank: | M22 | ISSN: | 0021-2172 | DOI: | 10.1007/s11856-012-0184-z | Abstract: | We show that every hypersurface in ℝs × ℝs contains a large grid, i.e., the set of the form S × T, with S, T ⊂ ℝs. We use this to deduce that the known constructions of extremal K 2,2-free and K 3,3-free graphs cannot be generalized to a similar construction of K s,s-free graphs for any s ≥ 4. We also give new constructions of extremal K s,t-free graphs for large t. |
Publisher: | Springer Link | Project: | European Union’s Seventh Framework Programme (FP7/2007-2013) / ERC, Grant agreement no. 247029-SDModels Advanced Techniques of Cryptology, Image Processing and Computational Topology for Information Security President’s of Russian Federation, grant MD-352.2012.1 Russian Foundation for Basic Research, grants 10-01-00096 and 10-01-00139 Russian government, project 11.G34.31.0053 |
Show full item record
SCOPUSTM
Citations
19
checked on Nov 18, 2024
Page view(s)
20
checked on Nov 19, 2024
Google ScholarTM
Check
Altmetric
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.