Proves γ_rk(G) ≥ ⌈kn/2d⌉ for d-regular graphs with d≤k≤2d, gives equality conditions, and computes exact values for all cubic Cayley graphs on abelian groups.
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On k-rainbow domination in regular graphs
Proves γ_rk(G) ≥ ⌈kn/2d⌉ for d-regular graphs with d≤k≤2d, gives equality conditions, and computes exact values for all cubic Cayley graphs on abelian groups.