On varieties of graphs
Discussiones Mathematicae. Graph Theory, Tome 18 (1998) no. 2, pp. 209-223

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In this paper, we introduce the notion of a variety of graphs closed under isomorphic images, subgraph identifications and induced subgraphs (induced connected subgraphs) firstly and next closed under isomorphic images, subgraph identifications, circuits and cliques. The structure of the corresponding lattices is investigated.
Keywords: graph, subgraph identification, variety
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Haviar, Alfonz; Nedela, Roman. On varieties of graphs. Discussiones Mathematicae. Graph Theory, Tome 18 (1998) no. 2, pp. 209-223. http://geodesic.mathdoc.fr/item/DMGT_1998_18_2_a7/