Geodesic
A note on uniquely embeddable graphs
Discussiones Mathematicae. Graph Theory, Tome 18 (1998) no. 1, pp. 15-21

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Let G be a simple graph of order n and size e(G). It is well known that if e(G) ≤ n-2, then there is an embedding G into its complement [G̅]. In this note, we consider a problem concerning the uniqueness of such an embedding.
Keywords: packing of graphs 
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Woźniak, Mariusz. A note on uniquely embeddable graphs. Discussiones Mathematicae. Graph Theory, Tome 18 (1998) no. 1, pp. 15-21. http://geodesic.mathdoc.fr/item/DMGT_1998_18_1_a1/