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- Sergio Bermudo, José M. Rodríguez, Jose Maria Sigarreta, Jean-Marie Vilaire
- Discrete Mathematics
- 2013

- Sergio Bermudo, José M. Rodríguez, Jose Maria Sigarreta, Eva Tourís
- Appl. Math. Lett.
- 2011

- Sergio Bermudo, José M. Rodríguez, Jose Maria Sigarreta
- Computers & Mathematics with Applications
- 2011

- Sergio Bermudo, Juan A. Rodríguez-Velázquez, Jose Maria Sigarreta, Ismael González Yero
- Appl. Math. Lett.
- 2010

We investigate the relationship between global offensive k-alliances and some characteristic sets of a graph including r-dependent sets, τ-dominating sets and standard dominating sets. In addition, we discuss the close relationship that exist among the (global) offensive k i-alliance number of Γ i , i ∈ {1, 2} and the (global) offensive k-alliance number of… (More)

- Ismael G. YERO, Sergio BERMUDO, Juan A. RODRı́GUEZ-VELÁZQUEZ, José M. SIGARRETA
- 2009

A defensive k-alliance in a graph is a set S of vertices with the property that every vertex in S has at least k more neighbors in S than it has outside of S. A defensive k-alliance S is called global if it forms a dominating set. In this paper we study the problem of partitioning the vertex set of a graph into (global) defensive k-alliances. The (global)… (More)

- Jose Maria Sigarreta, Ismael González Yero, Sergio Bermudo, Juan A. Rodríguez-Velázquez
- Discrete Applied Mathematics
- 2011

A defensive k-alliance in a graph is a set S of vertices with the property that every vertex in S has at least k more neighbors in S than it has outside of S. A defensive k-alliance S is called global if it forms a dominating set. In this paper we study the problem of partitioning the vertex set of a graph into (global) defensive k-alliances. The (global)… (More)

- Sergio Bermudo, Henning Fernau
- Discrete Mathematics
- 2012

- Sergio Bermudo, Henning Fernau
- Discrete Applied Mathematics
- 2014

- Sergio Bermudo, Henning Fernau
- Theor. Comput. Sci.
- 2015

- Jose Maria Sigarreta, Sergio Bermudo, Henning Fernau
- Discrete Applied Mathematics
- 2009