23 research outputs found

    (2,3)-Cordial Oriented Hypercubes

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    L. B. Beasley recently defined a digraph labeling called (2,3)-cordial. Digraphs for which a (2,3)-cordial labeling can be applied are called (2,3)-cordial digraphs. Herein, we consider the existence and identification of (2,3)-cordial oriented hypercubes. We demonstrate that for every nonzero dimension, there exists a (2,3)-cordial oriented hypercube. Additionally, we demonstrate that not all oriented hypercubes of nonzero dimension are (2,3)-cordial. Finally, we present preliminary results regarding the identification of (2,3)-cordial oriented hypercubes, particularly for dimension 3.Comment: 14 pages, 6 figure
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