English

On global offensive k-alliances in graphs

Combinatorics 2013-12-02 v2

Abstract

We investigate the relationship between global offensive kk-alliances and some characteristic sets of a graph including rr-dependent sets and τ\tau-dominating sets. As a consequence of the study, we obtain bounds on the global offensive kk-alliance number in terms of several parameters of the graph.

Cite

@article{arxiv.0812.1528,
  title  = {On global offensive k-alliances in graphs},
  author = {Sergio Bermudo and Juan A. Rodriguez-Velazquez and Jose M. Sigarreta and Ismael G. Yero},
  journal= {arXiv preprint arXiv:0812.1528},
  year   = {2013}
}
R2 v1 2026-06-21T11:49:30.929Z