Geodesic
Symmetric linear spaces of graphs
Diskretnaya Matematika, Tome 23 (2011) no. 2, pp. 103-107.

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We consider sets of graphs which are closed under the symmetric difference and renaming of vertices. We prove that for any $n$ there are at most 14 such sets consisting of graphs with $n$ vertices. 
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     author = {D. V. Zakharova},
     title = {Symmetric linear spaces of graphs},
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D. V. Zakharova. Symmetric linear spaces of graphs. Diskretnaya Matematika, Tome 23 (2011) no. 2, pp. 103-107. http://geodesic.mathdoc.fr/item/DM_2011_23_2_a8/

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[2] Corneil D. G., Lerchs H., Stewart-Burlingham L., “Complement reducible graphs”, Discrete Appl. Math., 13 (1981), 163–174 | DOI | MR