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The 2-Rainbow Domination Numbers of $${\boldsymbol{C}}_4\Box {\boldsymbol{C}}_n$$C4□Cn and $${\boldsymbol{C}}_8\Box {\boldsymbol{C}}_n$$C8□Cn

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Published in 2019 at "National Academy Science Letters"

DOI: 10.1007/s40009-018-0779-y

Abstract: A k-rainbow dominating function (kRDF) of G is a function $$f:V(G)\rightarrow {\mathcal {P}}(\{1,2,\ldots ,k\})$$f:V(G)→P({1,2,…,k}) for which $$f(v)=\emptyset $$f(v)=∅ we have $$\bigcup \nolimits _{u\in N(v)}f(u)=\{1,2,\ldots ,k\}$$⋃u∈N(v)f(u)={1,2,…,k}. The weightw(f) of a function f is defined as $$w(f)=\sum… read more here.

Keywords: boldsymbol box; box boldsymbol; boldsymbol; rainbow domination ... See more keywords