Geodesic
A partition of a~planar graph with girth~6 into two forests containing no path of length greater than~4
Diskretnyj analiz i issledovanie operacij, Tome 21 (2014) no. 2, pp. 33-51

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We prove that every planar graph with girth at least 6 has a vertex partition into two forests containing no path of length greater than 4. Ill. 7, bibliogr. 9.
Keywords: planar graph, girth, path partition. 
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A. N. Glebov; D. Zh. Zambalaeva. A partition of a~planar graph with girth~6 into two forests containing no path of length greater than~4. Diskretnyj analiz i issledovanie operacij, Tome 21 (2014) no. 2, pp. 33-51. http://geodesic.mathdoc.fr/item/DA_2014_21_2_a2/