Obama's peace offensive

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Offensive alliances in graphs

A set S is an offensive alliance if for every vertex v in its boundary N(S)−S it holds that the majority of vertices in v’s closed neighbourhood are in S. The offensive alliance number is the minimum cardinality of an offensive alliance. In this paper we explore the bounds on the offensive alliance and the strong offensive alliance numbers (where a strict majority is required). In particular, w...

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Offensive r-alliances in graphs

Let G = (V , E) be a simple graph. For a nonempty set X ⊂ V , and a vertex v ∈ V , δX (v) denotes the number of neighbors v has in X . A nonempty set S ⊂ V is an offensive r-alliance in G if δS(v) ≥ δS̄(v)+ r,∀v ∈ ∂(S), where ∂(S) denotes the boundary of S. An offensive ralliance S is called global if it forms a dominating set. The global offensive r-alliance number of G, denoted by γ o r (G), i...

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ژورنال

عنوان ژورنال: Global Change, Peace & Security

سال: 2010

ISSN: 1478-1158,1478-1166

DOI: 10.1080/14781150903488087