@Article{AAM-38-3,
author = {Tao, Jiang and Zilin, Jiang and Ma, Jie},
title = {Negligible Obstructions and Turán Exponents},
journal = {Annals of Applied Mathematics},
year = {2022},
volume = {38},
number = {3},
pages = {356--384},
abstract = {<p style="text-align: justify;">We show that for every rational number $r∈(1,2)$ of the form $2−a/b,$ where $a, b∈\mathbb{N}^+$ satisfy $$\lfloor b/a\rfloor ^3 ≤a≤b/(\lfloor b/a\rfloor +1)+1,$$ there exists a graph $F_r$ such that the Turán number ${\rm ex}(n,F_r)=Θ(n^r).$ Our result
in particular generates infinitely many new Turán exponents. As a byproduct,
we formulate a framework that is taking shape in recent work on the Bukh–Conlon conjecture.</p>},
issn = {},
doi = {https://doi.org/10.4208/aam.OA-2022-0008},
url = {https://global-sci.com/article/72637/negligible-obstructions-and-turan-exponents}
}