3 papers
math.CO2026
Bisections of graphs under degree constraints
Jie Ma, Hehui Wu
In this paper, we investigate the problem of finding {\it bisections} (i.e., balanced bipartitions) in graphs. We prove the following two results for {\it all} graphs : (1). …
math.CO2026
The linear Turán number of the 3-graph
Chaoliang Tang, Hehui Wu, Junchi Zhang
We prove that for any linear 3-graph on vertices without a path of length 5, the number of edges is at most , and the equality holds if and only if the graph is…
math.CO2025
Decomposition of Cliques into -Star-Forests
Jiaxi Nie, Yibo Ren, Hehui Wu
A -star-forest is a forest with at most connected components where each component is a star. Let be the minimum integer such that the complete graph on vertices…