Mathematics, Volume 11, Issue 10
May-2 2023 - 189 articles
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Cover Story: 2-rainbow domination is a variant of domination where two colors are assigned to vertices. It is used in models where two distinct resources are to be provided to customers, i.e., uncolored vertices. A vertex is said to be 2RD-dominated if it is allocated a non-empty set of colors or if two colors are assigned to the vertices in its locality. New results on 2-rainbow domination numbers, denoted by γrt(G), of generalized Petersen graphs, P(ck,k), are provided, including the exact values for all infinite families where the general lower bound \({\frac{4}{5}}\)ck is attained. In all other cases, lower and upper bounds with small gaps are given. View this paper