Academic Journal
On the eigenvalues of the distance signless Laplacian matrix of graphs
| العنوان: | On the eigenvalues of the distance signless Laplacian matrix of graphs |
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| المؤلفون: | Jahanbani, Akbar, Shooshtari, Hajar, Haq, Mohd Abrar Ul, Pirzada, Shariefuddin |
| المصدر: | Proyecciones (Antofagasta, On line); Vol. 43 No. 5 (2024); 1253-1267 ; Proyecciones. Revista de Matemática; Vol. 43 Núm. 5 (2024); 1253-1267 ; 0717-6279 ; 10.22199/issn.0717-6279-2024-05 |
| بيانات النشر: | Universidad Católica del Norte. |
| سنة النشر: | 2024 |
| مصطلحات موضوعية: | Distance signless Laplacian eigenvalues, distance signless Laplacian energy, spread, 05C50 |
| الوصف: | Let G be a connected graph and let DQ(G) be the distance signless Laplacian matrix of G with eigenvalues ρ1≥ ρ2≥…≥ ρn. The spread of the matrix DQ}(G) is defined as s(DQ(G)) := maxi,j| ρi-ρj| = ρ1- ρn. We derive new bounds for the distance signless Laplacian spectral radius ρ1 of G. We establish a relationship between the distance signless Laplacian energy and the spread of DQ(G). For a real number α ≠ 0, the graph invariant mα (G) is the sum of the α -th power of the distance signless Laplacian eigenvalues of G. Finally, we obtain various bounds for the graph invariant mα(G). |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | application/pdf |
| اللغة: | English |
| Relation: | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/6247/4590; https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/6247 |
| DOI: | 10.22199/issn.0717-6279-6247 |
| الاتاحة: | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/6247 https://doi.org/10.22199/issn.0717-6279-6247 |
| Rights: | Derechos de autor 2024 Akbar Jahanbani, Xuewu Zuo, Mohd Abrar Ul Haq, Shariefuddin Pirzada ; https://creativecommons.org/licenses/by/4.0 |
| رقم الانضمام: | edsbas.71FF2E09 |
| قاعدة البيانات: | BASE |
| DOI: | 10.22199/issn.0717-6279-6247 |
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