论文标题

(2,3) - 定向的高管

(2,3)-Cordial Oriented Hypercubes

论文作者

Mousley, Jonathan M., Santana, Manuel A., Beasley, LeRoy B., Brown, David E.

论文摘要

在本文中,我们调查了定向高管的(2,3) - 核标记的存在。在这项调查中,我们确定存在一个(2,3)的面向尺寸的超立方体,用于任何尺寸,可除以3。 (2,3) - 核。

In this article we investigate the existence of (2,3)-cordial labelings of oriented hypercubes. In this investigation, we determine that there exists a (2,3)-cordial oriented hypercube for any dimension divisible by 3. Next, we provide examples of (2,3)-cordial oriented hypercubes of dimension not divisible by 3 and state a conjecture on existence for dimension 3k + 1. We close by presenting the only 3D oriented hypercubes up to isomorphism that are not (2,3)-cordial.

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