Real and integer domination in graphs
نویسندگان
چکیده
For an arbitrary subset P of the reals, we define a function f :V → P to be a Pdominating function of graph G = (V,E) if the sum of the function values over any closed neighbourhood is at least 1. That is, for every v ∈ V , f(N(v) ∪ {v}) ≥ 1. The P-domination number of a graph is defined to be the infimum of f(V ) taken over all P-dominating functions f . When P = {0, 1} one obtains the standard domination number. We obtain various theoretical and computational results on the P-domination number of a graph.
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ورودعنوان ژورنال:
- Discrete Mathematics
دوره 199 شماره
صفحات -
تاریخ انتشار 1999