The minimum k-tuple domination problem can be approximated within ln(Δ+1)+1 and the k-domination ratio improves beyond the prior ln(2Δ)+1 bound.
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Approximation algorithms and ratios for multiple domination in graphs
The minimum k-tuple domination problem can be approximated within ln(Δ+1)+1 and the k-domination ratio improves beyond the prior ln(2Δ)+1 bound.