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Some new sharp bounds for the spectral radius of a nonnegative matrix and its application
In this paper, we give some new sharp upper and lower bounds for the spectral radius of a nonnegative irreducible matrix. Using these bounds, we obtain some new and improved bounds for the signless Laplacian spectral radius of a graph or a digraph.
| Autores principales: | , , , |
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
| Publicado: |
Springer International Publishing
2017
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| Materias: | |
| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5648768/ https://www.ncbi.nlm.nih.gov/pubmed/29104398 http://dx.doi.org/10.1186/s13660-017-1536-3 |
| _version_ | 1783272439195631616 |
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| author | He, Jun Liu, Yan-Min Tian, Jun-Kang Liu, Xiang-Hu |
| author_facet | He, Jun Liu, Yan-Min Tian, Jun-Kang Liu, Xiang-Hu |
| author_sort | He, Jun |
| collection | PubMed |
| description | In this paper, we give some new sharp upper and lower bounds for the spectral radius of a nonnegative irreducible matrix. Using these bounds, we obtain some new and improved bounds for the signless Laplacian spectral radius of a graph or a digraph. |
| format | Online Article Text |
| id | pubmed-5648768 |
| institution | National Center for Biotechnology Information |
| language | English |
| publishDate | 2017 |
| publisher | Springer International Publishing |
| record_format | MEDLINE/PubMed |
| spelling | pubmed-56487682017-11-01 Some new sharp bounds for the spectral radius of a nonnegative matrix and its application He, Jun Liu, Yan-Min Tian, Jun-Kang Liu, Xiang-Hu J Inequal Appl Research In this paper, we give some new sharp upper and lower bounds for the spectral radius of a nonnegative irreducible matrix. Using these bounds, we obtain some new and improved bounds for the signless Laplacian spectral radius of a graph or a digraph. Springer International Publishing 2017-10-19 2017 /pmc/articles/PMC5648768/ /pubmed/29104398 http://dx.doi.org/10.1186/s13660-017-1536-3 Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. |
| spellingShingle | Research He, Jun Liu, Yan-Min Tian, Jun-Kang Liu, Xiang-Hu Some new sharp bounds for the spectral radius of a nonnegative matrix and its application |
| title | Some new sharp bounds for the spectral radius of a nonnegative matrix and its application |
| title_full | Some new sharp bounds for the spectral radius of a nonnegative matrix and its application |
| title_fullStr | Some new sharp bounds for the spectral radius of a nonnegative matrix and its application |
| title_full_unstemmed | Some new sharp bounds for the spectral radius of a nonnegative matrix and its application |
| title_short | Some new sharp bounds for the spectral radius of a nonnegative matrix and its application |
| title_sort | some new sharp bounds for the spectral radius of a nonnegative matrix and its application |
| topic | Research |
| url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5648768/ https://www.ncbi.nlm.nih.gov/pubmed/29104398 http://dx.doi.org/10.1186/s13660-017-1536-3 |
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