Geodesic
On the factorization of reducible properties of graphs into irreducible factors
Discussiones Mathematicae. Graph Theory, Tome 15 (1995) no. 2, pp. 195-203

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A hereditary property R of graphs is said to be reducible if there exist hereditary properties P₁,P₂ such that G ∈ R if and only if the set of vertices of G can be partitioned into V(G) = V₁∪V₂ so that 〈V₁〉 ∈ P₁ and 〈V₂〉 ∈ P₂. The problem of the factorization of reducible properties into irreducible factors is investigated.
Keywords: hereditary property of graphs, additivity, reducibility, vertex partition 
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     title = {On the factorization of reducible properties of graphs into irreducible factors},
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Mihók, P.; Vasky, R. On the factorization of reducible properties of graphs into irreducible factors. Discussiones Mathematicae. Graph Theory, Tome 15 (1995) no. 2, pp. 195-203. http://geodesic.mathdoc.fr/item/DMGT_1995_15_2_a6/