(2,3)-Cordial Oriented Hypercubes
Combinatorics
2023-03-13 v3
Abstract
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.
Keywords
Cite
@article{arxiv.2012.11091,
title = {(2,3)-Cordial Oriented Hypercubes},
author = {Jonathan M. Mousley and Manuel A. Santana and LeRoy B. Beasley and David E. Brown},
journal= {arXiv preprint arXiv:2012.11091},
year = {2023}
}
Comments
13 pages, 8 figures, 2021 Southeastern International Conference on Combinatorics, Graph Theory, and Computing. 2021 Mar 11. Boca Raton, FL