On global offensive k-alliances in graphs

Details On global offensive k-alliances in graphs On global offensive k-alliances in graphs

2008-12-08

arxiv.org/abs/0812.1528v2

Mathematics

Combinatorics

Scientific paper

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.

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