On 2-rainbow domination of some families of graphs

Mohammad Tariq Rahim, M Ali, M Zeb, G Ali


In this paper we find the $2-$rainbow domination number of the $4$-regular Harary graphs $H_{4,n}$, $n\geq 5$. Upper bound for the $2$-rainbow domination number of $P_1\times P_m$ is found. At the end we find the lower bound for the $2$-rainbow domination number of $k$-regular graphs.

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