Geodesic
Improved bounds for the extremal number of subdivisions
Oliver Janzer1
1University of Cambridge
The electronic journal of combinatorics, Tome 26 (2019) no. 3
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

Let $H_t$ be the subdivision of $K_t$. Very recently, Conlon and Lee have proved that for any integer $t\geq 3$, there exists a constant $C$ such that $\textrm{ex}(n,H_t)\leq Cn^{3/2-1/6^t}$. In this paper, we prove that there exists a constant $C'$ such that $\textrm{ex}(n,H_t)\leq C'n^{3/2-\frac{1}{4t-6}}$.
DOI : 10.37236/8262
Classification : 05C35, 05C70
Mots-clés : Füredi, Alon-Krivelevich-Sudakov theorem

Oliver Janzer  1

1 University of Cambridge 
@article{10_37236_8262,
     author = {Oliver Janzer},
     title = {Improved bounds for the extremal number of subdivisions},
     journal = {The electronic journal of combinatorics},
     year = {2019},
     volume = {26},
     number = {3},
     doi = {10.37236/8262},
     zbl = {1416.05152},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/8262/}
}
TY  - JOUR
AU  - Oliver Janzer
TI  - Improved bounds for the extremal number of subdivisions
JO  - The electronic journal of combinatorics
PY  - 2019
VL  - 26
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.37236/8262/
DO  - 10.37236/8262
ID  - 10_37236_8262
ER  - 
%0 Journal Article
%A Oliver Janzer
%T Improved bounds for the extremal number of subdivisions
%J The electronic journal of combinatorics
%D 2019
%V 26
%N 3
%U http://geodesic.mathdoc.fr/articles/10.37236/8262/
%R 10.37236/8262
%F 10_37236_8262
Oliver Janzer. Improved bounds for the extremal number of subdivisions. The electronic journal of combinatorics, Tome 26 (2019) no. 3. doi: 10.37236/8262

Cité par Sources :