Geodesic
A Note on Uniquely Embeddable Forests
Discussiones Mathematicae. Graph Theory, Tome 33 (2013) no. 1, pp. 193-201

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Let F be a forest of order n. It is well known that if F S_n, a star of order n, then there exists an embedding of F into its complement F̅. In this note we consider a problem concerning the uniqueness of such an embedding.
Keywords: packings of graphs, uniquely embeddable graphs 
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Otfinowska, Justyna; Woźniak, Mariusz. A Note on Uniquely Embeddable Forests. Discussiones Mathematicae. Graph Theory, Tome 33 (2013) no. 1, pp. 193-201. http://geodesic.mathdoc.fr/item/DMGT_2013_33_1_a15/