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arXiv · 2211.12842

Extremal numbers for cycles in a hypercube

Maria Axenovich
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Abstract

Let $ex(Q_n, H)$ be the largest number of edges in a subgraph $G$ of a hypercube $Q_n$ such that there is no subgraph of $G$ isomorphic to $H$. We show that for any integer $k\geq 3$, $$ex(Q_n, C_{4k+2})= O(n^{\frac{5}{6} + \frac{1}{3(2k-2)}} 2^n).$$

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Maria Axenovich. 2022-11-28. Extremal numbers for cycles in a hypercube. https://arxiv.org/abs/2211.12842

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