5 papers · 1 filter
A Note On Edge Connectivity and Parity Factor
Hongliang Lu
In this paper, we investigate some parity factors by using Lovász's (g,f)-parity theorem. Let be an integer. Firstly, we obtain a sufficient and necessary condition for some…
An Extension of Cui-Kano's Characterization Problem on Graph Factors
Hongliang Lu
Let be a graph with vertex set and let be a set function associating with . An -factor of graph is a spanning subgraphs such that $…
On the Existence of General Factors in Regular Graphs
Hongliang Lu, David G. L. Wang, Qinglin Yu
Let be a graph, and a set function associated with . A spanning subgraph of is called an -factor if the degree of any vertex in…
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 …