| Summary: | We obtain new results on 3-rainbow domination numbers of generalized Petersen graphs <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>P</mi><mo>(</mo><mn>6</mn><mi>k</mi><mo>,</mo><mi>k</mi><mo>)</mo></mrow></semantics></math></inline-formula>. In some cases, for some infinite families, exact values are established; in all other cases, the lower and upper bounds with small gaps are given. We also define singleton rainbow domination, where the sets assigned have a cardinality of, at most, one, and provide analogous results for this special case of rainbow domination.
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