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- W3112454003 abstract "Let $G=(V,E)$ be a graph with the vertex set $V=V(G)$ and the edge set $E=E(G)$. Let $k$ be a positive integer and $gamma_{rk}(G)$ ($gamma_{i_{rk}}(G)$) be $k$-rainbow domination (independent $k$-rainbow domination) number of a graph $G$. In this paper, we study the $k$-rainbow domination and independent $k$-rainbow domination numbers of graphs. We obtain bounds for $gamma_{rk}(G-e)$ ($gamma_{i_{rk}}(G-e)$) in terms of $gamma_{rk}(G)$ ($gamma_{i_{rk}}(G)$). Finally, the relation between weak $3$-domination and $3$-rainbow domination number of graphs will be investigated." @default.
- W3112454003 created "2020-12-21" @default.
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- W3112454003 date "2020-12-31" @default.
- W3112454003 modified "2023-09-27" @default.
- W3112454003 title "(Independent) $k$-Rainbow Domination of a Graph" @default.
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- W3112454003 doi "https://doi.org/10.47000/tjmcs.691030" @default.
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