Abstract
Let be a graph, a real-valued function is said to be a dominating of G if holds for every vertex, the fractional domination function number is defined as, and the fractional total domination function number of G is analogous. In this paper we research the fractional domination problem for two classes of special graphs, obtained the fractional domination numbers of the generalized star graphs and the fractional total domination function numbers of the generalized wheel graphs.
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