On the sum of the powers of $ A_\alpha $ eigenvalues of graphs and $ A_\alpha $-energy like invariant
For a connected simple graph $ G $ with $ A_{\alpha} $ eigenvalues $ \rho_{1}\geq\rho_{2}\geq\dots\geq\rho_{n} $ and a real number $\beta $, let $ S_{\beta}^{\alpha}(G) =\sum\limits_{i=1}^{n}\rho_{i}^{\beta}$ be the sum of the $ \beta^{th} $ powers of the $ A_{\alpha} $ eigenvalues of graph $ G $....
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Sociedade Brasileira de Matemática
2022-02-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/52469 |