اشترك بالحزمة الذهبية واحصل على وصول غير محدود شمرا أكاديميا
تسجيل مستخدم جديدAvoiding long Berge cycles, the missing cases $k=r+1$ and $k = r+2$
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The maximum size of an $r$-uniform hypergraph without a Berge cycle of length at least $k$ has been determined for all $k ge r+3$ by Furedi, Kostochka and Luo and for $k<r$ (and $k=r$, asymptotically) by Kostochka and Luo. In this paper, we settle the remaining cases: $k=r+1$ and $k=r+2$, proving a conjecture of Furedi, Kostochka and Luo.
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