3 papers
math.CO2026
Large odd induced subgraphs via odd cuts
Qinghou Zeng
Gallai proved that every graph can be partitioned into two sets, each inducing a subgraph with all degrees even. We show that if a graph admits a bipartition in which every vertex…
math.CO2026
Graded discrepancy of graphs and hypergraphs
Yanling Chen, Shuping Huang, Qinghou Zeng
This paper studies the following question of Bollobás and Scott: Let be a graph with vertices and edges. What is the smallest such that there is…
math.CO2025
Max-Bisections of graphs without even cycles
Jianfeng Hou, Siwei Lin, Qinghou Zeng
For an integer , let be a graph with edges and without cycles of length . The pivotal Alon-Krivelevich-Sudakov Theorem on Max-Cuts states that has a biparti…