2 citations · 6 across the 12 of their papers we have counts for
20 papers
Co-degree threshold for rainbow perfect matchings in uniform hypergraphs
Hongliang Lu, Yan Wang, Xingxing Yu
Let and be two integers, with , , and sufficiently large. We determine the -degree threshold for the existence of a rainbow perfect ma…
Rainbow perfect matchings for 4-uniform hypergraphs
Hongliang Lu, Yan Wang, Xingxing Yu
Let be a sufficiently large integer with and let where . We show that if each vertex of is contained in more…
Number of Hamiltonian cycles in planar triangulations
Xiaonan Liu, Xingxing Yu
Whitney proved in 1931 that 4-connected planar triangulations are Hamiltonian. Hakimi, Schmeichel, and Thomassen conjectured in 1979 that if is a 4-connected planar triangulati…
A note on exact minimum degree threshold for fractional perfect matchings
Hongliang Lu, Xingxing Yu
Rödl, Ruciński, and Szemerédi determined the minimum -degree threshold for the existence of fractional perfect matchings in -uniform hypergrahs, and Kühn, Osthus, and Tow…
On the rainbow matching conjecture for 3-uniform hypergraphs
Jun Gao, Hongliang Lu, Jie Ma +1
Aharoni and Howard, and, independently, Huang, Loh, and Sudakov proposed the following rainbow version of Erdős matching conjecture: For positive integers with , i…
Partitioning digraphs with outdegree at least 4
Guanwu Liu, Xingxing Yu
Scott asked the question of determining such that if is a digraph with arcs and minimum outdegree then has a partition such that $\min\left…