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arXiv · 2009.04590

New Upper Bound on Extremal Number of Even Cycles

Zhiyang He
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Abstract

In this paper, we prove $\text{ex}(n, C_{2k})\le (16\sqrt{5}\sqrt{k\log k} + o(1))\cdot n^{1+1/k}$. We improved on Bukh--Jiang's method used in their 2017 publication, thereby reducing the best known upper bound by a factor of $\sqrt{5\log k}$.

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Zhiyang He. 2020-09-09. New Upper Bound on Extremal Number of Even Cycles. https://arxiv.org/abs/2009.04590

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