6 problems
Linear-hypergraph surplus conjecture. The surplus should satisfy
Conlon–Fox–Kwan–Sudakov conjecture. The surplus should satisfy
Maximum-degree surplus conjecture. One should have
Two-thirds excess conjecture. Every -graph has an -cut of size
Square-root excess conjecture. For any fixed , the smallest maximum -cut over all -edge -graphs has excess…
Scott's conjecture. Complete -graphs have the smallest max--cut among all -edge -graphs.