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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… (More)

- Gregory L. Cherlin
- Discrete Mathematics
- 2011

We discuss two combinatorial problems concerning classes of finite or countable structures of combinatorial type. We consider classes determined by a finite set of finite constraints (forbidden… (More)

- Jeffrey Burdges, Gregory L. Cherlin
- J. Mathematical Logic
- 2009

A group of finite Morley rank is a group equipped with a notion of dimension satisfying various natural axioms [BN94, p. 57]; These groups arise naturally in model theory, expecially geometrical… (More)

- Gregory L. Cherlin
- Logic Colloquium
- 1985

We discuss Lachlan’s classification theory for finite homogeneous structures and related problems on finite permutation groups. Lachlan’s theory provides a hierarchy of classifications in which… (More)

- Gregory L. Cherlin, Simon Thomas
- J. Symb. Log.
- 2002

Even Type Conjecture. Let G be a simple group of finite Morley rank of even type. Then G is a Chevalley group over an algebraically closed field of characteristic two. See [16] for an informal… (More)

- Gregory L. Cherlin, Brenda J. Latka
- J. Comb. Theory, Ser. B
- 2000

We investigate the minimal antichains (in what is essentially Nash-Williams' sense) in a well-founded quasi-order. We prove the following finiteness theorem: If Q is a well-founded quasi-order and k… (More)