Geodesic
A note on joins of additive hereditary graph properties
Discussiones Mathematicae. Graph Theory, Tome 26 (2006) no. 3, pp. 413-418

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Let L^a denote a set of additive hereditary graph properties. It is a known fact that a partially ordered set (L^a, ⊆ ) is a complete distributive lattice. We present results when a join of two additive hereditary graph properties in (L^a, ⊆ ) has a finite or infinite family of minimal forbidden subgraphs.
Keywords: hereditary property, lattice of additive hereditary graph properties, minimal forbidden subgraph family, join in the lattice 
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     title = {A note on joins of additive hereditary graph properties},
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Drgas-Burchardt, Ewa. A note on joins of additive hereditary graph properties. Discussiones Mathematicae. Graph Theory, Tome 26 (2006) no. 3, pp. 413-418. http://geodesic.mathdoc.fr/item/DMGT_2006_26_3_a5/