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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.02474 |
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Table of Contents:
- We say a red/blue edge-coloring of the $n$-dimensional cube graph, $Q_n$, is antipodal if all pairs of antipodal edges have different colors. Norine conjectured that in such a coloring there must exist a pair of antipodal vertices connected by a monochromatic path. Previous work has proven this conjecture for $n\le 6$. Using SAT solvers we verify that the conjecture holds for $n = 7$.