5 papers · 1 filter
MaxCut in graphs with sparse neighborhoods
Jinghua Deng, Jianfeng Hou, Siwei Lin +1
Let be a graph with edges and let denote the size of a largest cut of . The difference is called the surplus of $G…
Extremal graphs for the suspension of edge-critical graphs
Jianfeng Hou, Heng Li, Qinghou Zeng
The Turán number of a graph , , is the maximum number of edges in an -vertex graph that does not contain as a subgraph. For a vertex and a multi-set $…
Two stability theorems for -saturated hypergraphs
Jianfeng Hou, Heng Li, Caihong Yang +2
An -saturated -graph is a maximal -graph not containing any member of as a subgraph. Let be the collection of all -…
A bound on judicious bipartitions of directed graphs
Jianfeng Hou, Huawen Ma, Xingxing Yu +1
Judicious partitioning problems on graphs ask for partitions that bound several quantities simultaneously, which have received a lot of attentions lately. Scott asked the following…
On total colorings of 1-planar graphs
Xin Zhang, Jianfeng Hou, Guizhen Liu
A graph is 1-planar if it can be drawn on the plane so that each edge is crossed by at most one other edge. In this paper, we confirm the total-coloring conjecture for 1-planar gra…