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Part of 1980 Miklós Schweitzer

Problems(1)

Miklos Schweitzer 1980_2

Source:

1/28/2009
Let H \mathcal{H} be the class of all graphs with at most 2ℵ0 2^{\aleph_0} vertices not containing a complete subgraph of size ℵ1 \aleph_1. Show that there is no graph H∈H H \in \mathcal{H} such that every graph in H \mathcal{H} is a subgraph of H H. F. Galvin
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