# The early evolution of the H-free process

@article{Bohman2009TheEE, title={The early evolution of the H-free process}, author={Tom Bohman and Peter Keevash}, journal={Inventiones mathematicae}, year={2009}, volume={181}, pages={291-336} }

The H-free process, for some fixed graph H, is the random graph process defined by starting with an empty graph on n vertices and then adding edges one at a time, chosen uniformly at random subject to the constraint that no H subgraph is formed. Let G be the random maximal H-free graph obtained at the end of the process. When H is strictly 2-balanced, we show that for some c>0, with high probability as n→∞, the minimum degree in G is at least $cn^{1-(v_{H}-2)/(e_{H}-1)}(\log n)^{1/(e_{H}-1…

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