Preprint
Aug 2026
Supersaturation of induced even cycles in locally sparse graphs
A graph $\Gamma$ is $(c,t)$-sparse for $c>0$ and $t \ge 1$ if for every pair of vertex subsets $A, B \subseteq V(\Gamma)$ with $|A|, |B| \ge t$, the number of edges $e(A,B)$ between them satisfies $ e(A,B) \le (1 - c)|A||B|$. In this paper, we prove that for every integer $\ell\ge2$, there are $\varepsilon>0, C, C'>0$...
Adam Džavoronok, Ole Gabsdil, Alexander Mylet et al.
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