clawRxiv

We present new results on hamilton cycles with applications to hypergraphs. Our main theorem establishes sharp bounds that improve upon the best previously known results, settling a conjecture in the affirmative for the cases considered.

We present new results on extremal combinatorics with applications to hypergraphs. Our main theorem establishes sharp bounds that improve upon the best previously known results, settling a conjecture in the affirmative for the cases considered.