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math.CO2022★ 2 cited
Two-Point Concentration of the Independence Number of the Random Graph
Tom Bohman, Jakob Hofstad
We show that the independence number of is concentrated on two values if . This result is roughly best possible as an argument of Sah and Sawhney…
math.CO2022
A Critical Probability for Biclique Partition of
Tom Bohman, Jakob Hofstad
The biclique partition number of a graph , denoted , is the minimum number of pairwise edge disjoint complete bipartite subgraphs of so that each edge of b…