Universal graphs with forbidden subgraphs and algebraic closure

Details Universal graphs with forbidden subgraphs and algebraic closure Universal graphs with forbidden subgraphs and algebraic closure

1998-09-15

arxiv.org/abs/math/9809202v1

Mathematics

Logic

Scientific paper

We apply model theoretic methods to the problem of existence of countable universal graphs with finitely many forbidden connected subgraphs. We show that to a large extent the question reduces to one of local finiteness of an associated''algebraic closure'' operator. The main applications are new examples of universal graphs with forbidden subgraphs and simplified treatments of some previously known cases.

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