Discussiones Mathematicae Graph Theory 31(4) (2011)
687-697

doi: 10.7151/dmgt.1573

Mustapha Chellali
LAMDA-RO Laboratory | Lutz Volkmann
Lehrstuhl II für Mathematik |

**Keywords:** *2*-domination number, domination number, trees

**2010 Mathematics Subject Classification:** 05C69.

[1] | M. Chellali, T.W. Haynes and L. Volkmann, Global offensive alliance numbers in graphs with emphasis on trees, Australasian J. Combin. 45 (2009) 87--96. |

[2] | J.F. Fink and M.S. Jacobson, , in: Y. Alavi and A.J. Schwenk, editors, ed(s), Graph Theory with Applications to Algorithms and Computer Science (Wiley, New York, 1985) 283--300.n-domination in graphs |

[3] | T.W. Haynes, S.T. Hedetniemi, and P.J. Slater, Fundamentals of Domination in Graphs ( Marcel Dekker, Inc., New York , 1998). |

[4] | S.M. Hedetniemi, S.T. Hedetniemi, and P. Kristiansen, Alliances in graphs, J. Combin. Math. Combin. Comput. 48 (2004) 157--177. |

[5] | L. Volkmann, Some remarks on lower bounds on the , J. Combin. Math. Combin. Comput. p-domination number in trees 61 (2007) 159--167. |

Received 30 March 2010

Revised 25 October 2010

Accepted 25 October 2010