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- W2023782877 abstract "Abstract Let γ ( G ) denote the domination number of a digraph G and let C m □ C n denote the Cartesian product of C m and C n , the directed cycles of length m , n ⩾ 2 . In this paper, we determine the exact values: γ ( C 2 □ C n ) = n ; γ ( C 3 □ C n ) = n if n ≡ 0 ( mod 3 ) , otherwise, γ ( C 3 □ C n ) = n + 1 ; γ ( C 4 □ C n ) = 3 n 2 if n ≡ 0 ( mod 8 ) , otherwise, γ ( C 4 □ C n ) = n + ⌈ n + 1 2 ⌉ ." @default.
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- W2023782877 date "2010-02-01" @default.
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- W2023782877 title "On domination number of Cartesian product of directed cycles" @default.
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- W2023782877 doi "https://doi.org/10.1016/j.ipl.2009.11.005" @default.
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