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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.20513 |
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Table of Contents:
- In this paper, we aim to study the smallest normalized signless $\infty$-Laplacian eigenvalue $μ_{\infty}$, a generalisation of the smallest signless Laplacian eigenvalue. For a non-bipartite connected graph, we show that the invariant $μ_{\infty}$ equals to the reciprocal of the minimal $\infty$-norm of the generalized inverses of the weighted signless incidence matrix. An example is also given to illustrate the result.