9 citations · 37 across the 47 of their papers we have counts for
4 papers · 1 filter
Vertex-deleted subgraphs and regular factors from regular graph
Hongliang Lu, Bing Bai, Wei Wang
Let , and be three integers such that . Let be a -regular, -edge-connected graph of odd order. We obtain some sufficient conditions, whi…
Vertex-Coloring 2-Edge-Weighting of Graphs
Hongliang Lu, Qinglin Yu, Cun-Quan Zhang
A -{\it edge-weighting} of a graph is an assignment of an integer weight, , to each edge . An edge weighting naturally induces a vertex colori…
L-factors and adjacent vertex-distinguishing edge-weighting
Yinghua Duan, Hongliang Lu, Qinglin yu
An edge weighting problem of a graph G is an assignment of an integer weight to each edge e. Based on edge weighting problem, several types of vertex-coloring problems are put forw…
Regular factors of regular graphs from eigenvalues
Hongliang Lu
Let m and r be two integers. Let G be a connected r-regular graph of order n and k an integer depending on m and r. For even kn, we find a best upper bound (in terms of r and m) on…