Geodesic
Domination in generalized Petersen graphs
Czechoslovak Mathematical Journal, Tome 52 (2002) no. 1, pp. 11-16 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Generalized Petersen graphs are certain graphs consisting of one quadratic factor. For these graphs some numerical invariants concerning the domination are studied, namely the domatic number $d(G)$, the total domatic number $d_t(G)$ and the $k$-ply domatic number $d^k(G)$ for $k=2$ and $k=3$. Some exact values and some inequalities are stated.
Generalized Petersen graphs are certain graphs consisting of one quadratic factor. For these graphs some numerical invariants concerning the domination are studied, namely the domatic number $d(G)$, the total domatic number $d_t(G)$ and the $k$-ply domatic number $d^k(G)$ for $k=2$ and $k=3$. Some exact values and some inequalities are stated.
Classification : 05C38, 05C69
Keywords: domatic number; total domatic number; $k$-ply domatic number; generalized Petersen graph 
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Zelinka, Bohdan. Domination in generalized Petersen graphs. Czechoslovak Mathematical Journal, Tome 52 (2002) no. 1, pp. 11-16. http://geodesic.mathdoc.fr/item/CMJ_2002_52_1_a1/

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