%0 Journal Article
%T On global offensive k-alliances in graphs
%A Sergio Bermudo
%A Juan A. Rodriguez-Velazquez
%A Jose M. Sigarreta
%A Ismael G. Yero
%J Mathematics
%D 2008
%I arXiv
%R 10.1016/j.aml.2010.08.008
%X We investigate the relationship between global offensive $k$-alliances and some characteristic sets of a graph including $r$-dependent sets and $\tau$-dominating sets. As a consequence of the study, we obtain bounds on the global offensive $k$-alliance number in terms of several parameters of the graph.
%U http://arxiv.org/abs/0812.1528v2