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This paper is one of a series of papers in which, for a family L of graphs, we describe the typical structure of graphs not containing any L∈L. In this paper, we prove sharp results about the case L={O6}, where O6 is the graph with 6 vertices and 12 edges, given by the edges of an octahedron. Among others, we prove the following results.(a) The vertex set of almost every O6-free graph can be partitioned...
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