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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2408.02007 |
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- In this paper, we investigate the scalability of a given frame in $\mathbb{R}^n$ by using graphs. For each frame $ϕ$ in $\mathbb{R}^n$, we associate a simple undirected graph $G(ϕ)$ and use it to verify the scalability of $ϕ$. We provide some necessary conditions to test the scalability of a given frame. Finally, we study the scalability of some special classes of frames by using graphs.