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math.CO2024
On the maximum number of -cliques in graphs free of complete -partite subgraphs
József Balogh, Suyun Jiang, Haoran Luo
We estimate the maximum possible number of cliques of size in an -vertex graph free of a fixed complete -partite graph . By viewing every -c…
math.CO2024★ 1 cited
Partitioning the hypercube into smaller hypercubes
Noga Alon, Jozsef Balogh, Vladimir N. Potapov
Denote by Q_d the d-dimensional hypercube. Addressing a recent question we estimate the number of ways the vertex set of Q_d can be partitioned into vertex disjoint smaller cubes.…