Geodesic
On congruences of paths
Prikladnaâ diskretnaâ matematika, no. 13 (2011), pp. 91-92

Voir la notice de l'article provenant de la source Math-Net.Ru

A congruence of a path is an equivalence relation on the set of path's vertices all of whose classes are independent subsets. It is shown that each connected graph is a quotient-graph of a suitable path. Valuations are established for a minimal length of a chain whose quotient-graph is a given graph. 
@article{PDM_2011_13_a46,
     author = {E. O. Karmanova},
     title = {On congruences of paths},
     journal = {Prikladna\^a diskretna\^a matematika},
     pages = {91--92},
     publisher = {mathdoc},
     number = {13},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDM_2011_13_a46/}
}
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E. O. Karmanova. On congruences of paths. Prikladnaâ diskretnaâ matematika, no. 13 (2011), pp. 91-92. http://geodesic.mathdoc.fr/item/PDM_2011_13_a46/