8 papers
Balanced clique subdivisions and cycles lengths in -free graphs
Jianfeng Hou, Yindong Jin, Donglei Yang +1
Let be integers. Confirming a conjecture of Mader, Liu and Montgomery [J. Lond. Math. Soc., 2017] showed that every -free graph with average degree cont…
Transversal tilings in k-partite graphs without large holes
Xinyu He, Xiangxiang Nie, Donglei Yang
We show that for any constant and , there exists such that the following holds for sufficiently large . If is a s…
Clique factors in random samplings of regular graphs
Wanting Sun, Shunan Wei, Donglei Yang
We show that for any integer , there exists a constant such that for every sufficiently large integer , every -regular graph on vertices has a…
Dense minors and bipartite independence numbers
Xia Wang, Donglei Yang
A graph is -joined if there is an edge between every two disjoint -sets of vertices. In this paper, we prove that for any and sufficiently large $m, n\in…
Clique-factors in graphs with low -independence number
Ming Chen, Jie Han, Donglei Yang
Given with , we show that there exists such that for every , every -vertex graph with $δ(G)\geq (\frac{1}{2}+o(1))…
Perfect tilings with the generalised triangle in -graphs
Weichan Liu, Xiangxiang Nie, Donglei Yang +1
Denote by the generalised triangle, a -uniform hypergraph on vertex set with three edges , and $\{k,k+1,\dots,…