@article{Zelinka2002,
abstract = {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.},
author = {Zelinka, Bohdan},
journal = {Czechoslovak Mathematical Journal},
keywords = {domatic number; total domatic number; $k$-ply domatic number; generalized Petersen graph; total domatic number; -ply domatic number; generalized Petersen graph},
language = {eng},
number = {1},
pages = {11-16},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Domination in generalized Petersen graphs},
url = {http://eudml.org/doc/30680},
volume = {52},
year = {2002},
}
TY - JOUR
AU - Zelinka, Bohdan
TI - Domination in generalized Petersen graphs
JO - Czechoslovak Mathematical Journal
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 52
IS - 1
SP - 11
EP - 16
AB - 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.
LA - eng
KW - domatic number; total domatic number; $k$-ply domatic number; generalized Petersen graph; total domatic number; -ply domatic number; generalized Petersen graph
UR - http://eudml.org/doc/30680
ER -