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On very strongly perfect Cartesian product graphs
AIMS Mathematics 2022, 7(2): 2634-2645
Published: 15 February 2022
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Let G 1 G 2 be the Cartesian product of simple, connected and finite graphs G 1 and G 2 . We give necessary and sufficient conditions for the Cartesian product of graphs to be very strongly perfect. Further, we introduce and characterize the co-strongly perfect graph. The very strongly perfect graph is implemented in the real-time application of a wireless sensor network to optimize the set of master nodes to communicate and control nodes placed in the field.

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