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math.CO2026
Bipartite cuts in Ramsey-Turán style
József Balogh, Ce Chen, Bernard Lidický
We prove that every -free -vertex graph with sublinear independence number can be made bipartite by removing at most edges, where the constant is be…
math.CO2026
Forbidding Exactly One Hamming Distance
József Balogh, Ce Chen, Bowen Li
Addressing questions raised in recent papers, we study the -distance graph on the Boolean cube , where two vertices are adjacent if their Hamming distance is…