CM2021:P000059

Y_{k,b} -tiling and Hamilton \ell -cycles in k-uniform hypergraphs

*孙琳 (山东大学)

In this lecture, I will give an edge condition for the existence of a Y_{k,b}-tiling with a fixed size which leads to some new results on d-degree Hamilton \ell-cycle problem. For all k≥3, 1≤\ell<k/2 and max{k-\ell,\ell+1} ≤d≤k-1, I will give an asymptotic bound on the minimum d-degree for the existence of Hamilton \ell -cycles in k-graphs, where k-\ell divides n. This asymptotic bound is the best possible for some cases.

In this lecture, I will give an edge condition for the existence of a Y_{k,b}-tiling with a fixed size which leads to some new results on d-degree Hamilton \ell-cycle problem. For all k≥3, 1≤\ell

第十二届中国数学会计算机数学大会 (CM2021)

Y_{k,b} -tiling and Hamilton \ell -cycles in k-uniform hypergraphs