The Lifting of Graphs to 3-uniform Hypergraphs and Some Applications to Hypergraph Ramsey Theory
نویسندگان
چکیده
Given a simple graph Γ, we describe a “lifting” to a 3-uniform hypergraph φ(Γ) that sends the complement of Γ to the complement of φ(Γ). We consider the effects of this lifting on cycles, complete subhypergraphs, and complete subhypergraphs missing a single hyperedge. Our results lead to natural lower bounds for some hypergraph Ramsey numbers.
منابع مشابه
Minimum degrees and codegrees of minimal Ramsey 3-uniform hypergraphs
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