منابع مشابه
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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Over the years since their meager beginnings, agribusiness cooperatives in the U.S. have compiled a checkered history of both praise and condemnation. Some observers have argued that cooperatives no longer communicate with, nor represent the best interests of their farmer members. Some critics suggest that cooperatives have stymied, or at least diffused, free market transactions in the agricult...
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متن کاملOffensive 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: The American Historical Review
سال: 1950
ISSN: 0002-8762
DOI: 10.2307/1843557