Geodesic
Remarks on the existence of uniquely partitionable planar graphs
Discussiones Mathematicae. Graph Theory, Tome 19 (1999) no. 2, pp. 159-166

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We consider the problem of the existence of uniquely partitionable planar graphs. We survey some recent results and we prove the nonexistence of uniquely (₁,₁)-partitionable planar graphs with respect to the property ₁ "to be a forest".
Keywords: property of graphs, additive, hereditary, vertex partition, uniquely partitionable graphs 
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     title = {Remarks on the existence of uniquely partitionable planar graphs},
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Borowiecki, Mieczysław; Mihók, Peter; Tuza, Zsolt; Voigt, M. Remarks on the existence of uniquely partitionable planar graphs. Discussiones Mathematicae. Graph Theory, Tome 19 (1999) no. 2, pp. 159-166. http://geodesic.mathdoc.fr/item/DMGT_1999_19_2_a3/