9 citations · 37 across the 47 of their papers we have counts for
6 papers · 1 filter
A Note on -Factors of Regular Graphs
Hongliang Lu, David G. L. Wang
Let be an odd integer, and an even integer. In this note, we present -regular graphs which have no -factors for all . This gives a nega…
Note on parity factors of regular graphs
Hongliang Lu
In this paper, we obtain a sufficient condition for the existence of parity factors in a regular graph in terms of edge-connectivity. Moreover, we also show that our condition is s…
On Cui-Kano's Characterization Problem on Graph Factors
H. L. Lu, David G. L. Wang
An -factor of a graph is defined to be a spanning subgraph of such that each vertex has degree belonging to the set in . In this paper,…
Maximum spectral radius of graphs with given connectivity and minimum degree
Hongliang Lu, Yuqing Lin
Shiu, Chan and Chang [On the spectral radius of graphs with connectivity at most , J. Math. Chem., 46 (2009), 340-346] studied the spectral radius of graphs of order with $κ…
An Alternative Proof of the -Factor Theorem
Hongliang Lu, Qinglin Yu
Let be a set mapping for a graph . Given a spanning subgraph of , is called a {\it general factor} or an -{\it factor} of …
Simplified existence theorems on all fractional [a,b]-factors
Hongliang Lu
Let be a graph with order and let such that for all . We say that has all fractional -factors if has…