Academic Journal
On the spectral radius of the generalized adjacency matrix of a digraph
| العنوان: | On the spectral radius of the generalized adjacency matrix of a digraph |
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| المؤلفون: | Baghipur, Maryam, Ganie, Hilal A., Ghorbani, Modjtaba, Andrade, Enide |
| بيانات النشر: | Elsevier |
| سنة النشر: | 2024 |
| المجموعة: | Repositório Institucional da Universidade de Aveiro (RIA) |
| مصطلحات موضوعية: | Strongly connected digraph, Adjacency matrix, Aα-spectral radius, Maximum out-degree |
| الوصف: | Let $ D$ be a strongly connected digraph and $\alpha\in [0,1].$ In [J. P. Liu, X. Z. Wu, J. S. Chen and B. L. Liu, The $ A_{\alpha} $ spectral radius characterization of some digraphs, Linear Algebra Appl. 563 (2019) 63--74] the matrix $ A_{\alpha}(D)=\alpha Deg(D)+(1-\alpha)A(D),$ where $ A(D)$ and $Deg(D)$ are the adjacency matrix and the diagonal matrix of the out-degrees of $D,$ respectively, was defined. In this paper it is established some sharp bounds on the $A_{\alpha}(D)$-spectral radius in terms of some parameters such as the out-degrees, the maximum out-degree, the second maximum out-degree, the number of vertices, the number of arcs, the average $2$-outdegrees of the vertices of $D$ and the parameter $ \alpha$ of $A_{\alpha}(D)$. The extremal digraphs attaining these bounds are characterized. It is shown that the bounds obtained improve, in some cases, some of recently given bounds presented in the literature. ; in publication |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| ردمك: | 978-0-02-437952-8 0-02-437952-2 |
| تدمد: | 0024-3795 1873-1856 |
| Relation: | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F04106%2F2020/PT; info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F04106%2F2020/PT; https://www.sciencedirect.com/science/article/pii/S0024379522002944; http://hdl.handle.net/10773/35242 |
| DOI: | 10.1016/j.laa.2022.08.017 |
| الاتاحة: | http://hdl.handle.net/10773/35242 https://doi.org/10.1016/j.laa.2022.08.017 |
| Rights: | embargoedAccess |
| رقم الانضمام: | edsbas.B6691677 |
| قاعدة البيانات: | BASE |
| ردمك: | 9780024379528 0024379522 |
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| تدمد: | 00243795 18731856 |
| DOI: | 10.1016/j.laa.2022.08.017 |