On the nonnegative signed domination numbers in graphs

نویسندگان

  • Maryam Atapour
  • Seyed Mahmoud Sheikholeslami
چکیده

A nonnegative signed dominating function (NNSDF) of a graph G is a function f from the vertex set V (G) to the set {−1, 1} such that ∑ u∈N [v] f(u) ≥ 0 for every vertex v ∈ V (G). The nonnegative signed domination number of G, denoted by γ s (G), is the minimum weight of a nonnegative signed dominating function on G. In this paper, we establish some sharp lower bounds on the nonnegative signed domination number of graphs in terms of their order, size and maximum and minimum degree.

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عنوان ژورنال:
  • EJGTA

دوره 4  شماره 

صفحات  -

تاریخ انتشار 2016