2 papers
math.CO2025
Minimum degree conditions for Hamilton -cycles in -uniform hypergraphs
Jie Han, Lin Sun, Guanghui Wang
We show that for and sufficiently large , every 5-graph on vertices with contains a Hamilton 2-cycle. This minimum 2-degr…
math.CO2025
Tiling in dense graphs
Nannan Chen, Xizhi Liu, Lin Sun +1
We determine asymptotically the two extremal constructions for the tiling problem of the -shaped tree. In particular, the first extremal construction is close to the complement…