Geodesic
On a characterization of graphs by average labellings
Discussiones Mathematicae. Graph Theory, Tome 17 (1997) no. 1, pp. 133-136

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The additive hereditary property of linear forests is characterized by the existence of average labellings.
Keywords: property of graphs, additive, hereditary, linear forest 
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Harminc, Matúš. On a characterization of graphs by average labellings. Discussiones Mathematicae. Graph Theory, Tome 17 (1997) no. 1, pp. 133-136. http://geodesic.mathdoc.fr/item/DMGT_1997_17_1_a9/