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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.02808 |
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Table of Contents:
- We classify rotary (orientably-regular) maps whose underlying graphs are multicycles. For the multicycle $\mathrm{C}_n^{(λ)}$ of length $n$ and edge-multiplicity $λ$, we determine all rotary embeddings for $n\geqslant 3$ and $λ\geqslant 2$. When $n$ is odd, there is a unique isomorphism class; when $n$ is even, the embeddings form a family $\mathcal{M}_n^{(λ)}(i,j)$ parameterized by integer pairs $(i,j)$ satisfying explicit congruence conditions.