Complexity of majority monopoly and signed domination problems
نویسندگان
چکیده
منابع مشابه
Complexity of majority monopoly and signed domination problems
Article history: Received 29 January 2010 Received in revised form 2 December 2011 Accepted 7 December 2011 Available online 13 December 2011
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The open neighborhood NG(e) of an edge e in a graph G is the set consisting of all edges having a common end-vertex with e and its closed neighborhood is NG[e] = NG(e) ∪ {e}. Let f be a function on E(G), the edge set of G, into the set {−1, 1}. If ∑x∈NG[e] f(x) ≥ 1 for at least a half of the edges e ∈ E(G), then f is called a signed edge majority dominating function of G. The minimum of the val...
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Let G = (V, E) be a simple graph with vertex set V and edge set E. A function f from V to a set {-1, 1} is said to be a nonnegative signed dominating function (NNSDF) if the sum of its function values over any closed neighborhood is at least zero. The weight of f is the sum of function values of vertices in V. The nonnegative signed domination number for a graph G equals the minimum weight of a...
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ژورنال
عنوان ژورنال: Journal of Discrete Algorithms
سال: 2012
ISSN: 1570-8667
DOI: 10.1016/j.jda.2011.12.019