| Autor: |
Fallat, Shaun, Gupta, Himanshu, Lin, Jephian C. -H. |
| Rok vydání: |
2024 |
| Předmět: |
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| Druh dokumentu: |
Working Paper |
| Popis: |
For a given graph $G$, we aim to determine the possible realizable spectra for a generalized (or sometimes referred to as a weighted) Laplacian matrix associated with $G$. This specialized inverse eigenvalue problem is considered for certain families of graphs and graphs on a small number of vertices. Related considerations include studying the possible ordered multiplicity lists associated with stars and complete graphs and graphs with a few vertices. Finally, we investigate the both theoretically and numerically, the minimum variance over a family of generalized Laplacian matrices with a size-normalized weighting. |
| Databáze: |
arXiv |
| Externí odkaz: |
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