On the lattice of additive hereditary properties of finite graphs
Discussiones Mathematicae. General Algebra and Applications, Tome 22 (2002) no. 1, pp. 73-86

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In this paper it is proved that the lattice of additive hereditary properties of finite graphs is completely distributive and that it does not satisfy the Jordan-Dedekind condition for infinite chains.
Keywords: Lattice, complete distributivity, finite graph, additive hereditary property, generalized Jordan-Dedekind condition
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Jakubík, Ján. On the lattice of additive hereditary properties of finite graphs. Discussiones Mathematicae. General Algebra and Applications, Tome 22 (2002) no. 1, pp. 73-86. http://geodesic.mathdoc.fr/item/DMGAA_2002_22_1_a5/