Geodesic
Generalized ramsey theory and decomposable properties of graphs
Discussiones Mathematicae. Graph Theory, Tome 19 (1999) no. 2, pp. 199-217.

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In this paper we translate Ramsey-type problems into the language of decomposable hereditary properties of graphs. We prove a distributive law for reducible and decomposable properties of graphs. Using it we establish some values of graph theoretical invariants of decomposable properties and show their correspondence to generalized Ramsey numbers.
Keywords: hereditary properties, additivity, reducibility, decomposability, Ramsey number, graph invariants 
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Burr, Stefan; Jacobson, Michael; Mihók, Peter; Semanišin, Gabriel. Generalized ramsey theory and decomposable properties of graphs. Discussiones Mathematicae. Graph Theory, Tome 19 (1999) no. 2, pp. 199-217. http://geodesic.mathdoc.fr/item/DMGT_1999_19_2_a6/

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