Partition of a~planar graph with girth~7 into two star forests
Diskretnyj analiz i issledovanie operacij, Tome 16 (2009) no. 3, pp. 20-46

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We prove that the vertex set of any planar graph with girth at least 7 can be partitioned into two subsets such that each subset induces a star forest, i.e. a collection of vertex disjoint paths. Bibl. 26.
Keywords: planar graph, girth, path partition.
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D. Zh. Zambalayeva. Partition of a~planar graph with girth~7 into two star forests. Diskretnyj analiz i issledovanie operacij, Tome 16 (2009) no. 3, pp. 20-46. http://geodesic.mathdoc.fr/item/DA_2009_16_3_a1/