Gorde:
| Egile Nagusiak: | , |
|---|---|
| Formatua: | Preprint |
| Argitaratua: |
2020
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| Gaiak: | |
| Sarrera elektronikoa: | https://arxiv.org/abs/2002.05694 |
| Etiketak: |
Etiketa erantsi
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Aurkibidea:
- If $v$ is an eigenvector for eigenvalue $λ$ of a graph $X$ and $α$ is an automorphism of $X$, then $α(v)$ is also an eigenvector for $λ$. Thus it is rather exceptional for an eigenvalue of a vertex-transitive graph to be simple. We study cubic vertex-transitive graphs with a non-trivial simple eigenvalue, and discover remarkable connections to arc-transitivity, regular maps and Chebyshev polynomials.