Geodesic
K\"onig graphs with respect to $3$-paths
Diskretnyj analiz i issledovanie operacij, Tome 19 (2012) no. 4, pp. 3-14

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We characterize the graphs whose each induced subgraph has the property: the packing number of induced $3$-paths is equal to the corresponding vertex cover number. Ill. 2, bibliogr. 4.
Keywords: subgraph packing, subgraph vertex covering, König graph, $3$-path, forbidden subgraph. 
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V. E. Alekseev; D. B. Mokeev. K\"onig graphs with respect to $3$-paths. Diskretnyj analiz i issledovanie operacij, Tome 19 (2012) no. 4, pp. 3-14. http://geodesic.mathdoc.fr/item/DA_2012_19_4_a0/