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.