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- W2893104665 abstract "For a function $f : V(G ) rightarrow {0, 1, 2}$ we denote by $V_i$ the set of vertices to which the value $i$ is assigned by $f$, i.e. $V_i = { x in V (G ) : f(x ) = i }$. If a function $f: V(G) rightarrow {0,1,2}$ satisfying the condition that $V_i$ is independent for $i in {1,2}$ and every vertex $u$ for which $f(u) = 0$ is adjacent to at least one vertex $v$ for which $f(v) = i$ for each $i in {1,2}$, then $f$ is called a 2-rainbow independent dominating function (2RiDF). The weight $w(f)$ of a 2RiDF $f$ is the value $w(f) = |V_1|+|V_2|$. The minimum weight of a 2RiDF on a graph $G$ is called the emph{2-rainbow independent domination number} of $G$. A graph $G$ is 2-rainbow independent domination stable if the 2-rainbow independent domination number of $G$ remains unchanged under removal of any vertex. In this paper, we characterize 2-rainbow independent domination stable trees and we study the effect of edge removal on 2-rainbow independent domination number in trees." @default.
- W2893104665 created "2018-10-05" @default.
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- W2893104665 date "2018-09-29" @default.
- W2893104665 modified "2023-09-28" @default.
- W2893104665 title "Changing and unchanging 2-rainbow independent domination" @default.
- W2893104665 doi "https://doi.org/10.48550/arxiv.1810.00246" @default.
- W2893104665 hasPublicationYear "2018" @default.
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