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- W2891885186 abstract "A double Roman dominating function (DRDF) f on a given graph G is a mapping from V ( G ) to { 0 , 1 , 2 , 3 } in such a way that a vertex u for which f ( u ) = 0 has at least a neighbor labeled 3 or two neighbors both labeled 2 and a vertex u for which f ( u ) = 1 has at least a neighbor labeled 2 or 3. The weight of a DRDF f is the value w ( f ) = ∑ u ∈ V ( G ) f ( u ) . The minimum weight of a DRDF on a graph G is called the double Roman domination number γ d R ( G ) of G. In this paper, we determine the exact value of the double Roman domination number of the generalized Petersen graphs P ( n , 2 ) by using a discharging approach." @default.
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- W2891885186 date "2018-10-16" @default.
- W2891885186 modified "2023-10-16" @default.
- W2891885186 title "The Double Roman Domination Numbers of Generalized Petersen Graphs P(n, 2)" @default.
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- W2891885186 doi "https://doi.org/10.3390/math6100206" @default.
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