9 citations · 37 across the 47 of their papers we have counts for
4 papers · 1 filter
Minimum co-degree condition for perfect matchings in k-partite k-graphs
Hongliang Lu, Yan Wang, Xingxing Yu
Let be a -partite -graph with vertices in each partition class, and let denote the minimum co-degree of . We characterize those with $δ_{k-1}(H) \…
An Ore-type Condition for Large -factor and Disjoint Perfect Matchings
Hongliang Lu, Bo Ning
Win [\emph{J. Graph Theory} {\bf 6}(1982), 489--492] conjectured that a graph on vertices contains disjoint perfect matchings, if the degree sum of any two nonadjacent…
The Complexity of All -Factor Problem
Hongliang Lu
Let be a graph with vertex set and let be two functions such that . We say that has all -factors if has an -f…
Characterization of 1-Tough Graphs using Factors
M. Kano, H. Lu
For a graph , let and denote the number of odd components and the number of components of , respectively. Then it is well-known that has a 1-factor if and…