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2011•International Journal of Mathematics and Soft ComputingRequires access

On 2-Rainbow Domination of some Families of Graphs

M. T. Rahim, Murtaza Ali, Muhammad Haider Zeb, Gohar Ali

Open publisher page 5 citations

Abstract

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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What this paper is about

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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OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

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.

Key concepts: Rainbow, Domination analysis, Combinatorics, Upper and lower bounds, Mathematics, Discrete mathematics, Graph, Physics

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