The Spectrum and Eigenvectors of the Laplacian Matrices of the Brualdi-Li Tournament Digraphs
Let m≥1 be an integer, let ℬ2m denote the Brualdi-Li matrix of order 2m, and let ℒℬ2m denote the Laplacian matrices of Brualdi-Li tournament digraphs. We obtain the eigenvalues and eigenvectors of ℒℬ2m.
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/940834 |
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| _version_ | 1832565750303293440 |
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| author | Xiaogen Chen |
| author_facet | Xiaogen Chen |
| author_sort | Xiaogen Chen |
| collection | DOAJ |
| description | Let m≥1 be an integer, let ℬ2m denote the Brualdi-Li matrix of order 2m, and let ℒℬ2m denote the Laplacian matrices of Brualdi-Li tournament digraphs. We obtain the eigenvalues and eigenvectors of ℒℬ2m. |
| format | Article |
| id | doaj-art-e62039fcd2194f5e99f5cb5fb789f0e6 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-e62039fcd2194f5e99f5cb5fb789f0e62025-02-03T01:06:54ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/940834940834The Spectrum and Eigenvectors of the Laplacian Matrices of the Brualdi-Li Tournament DigraphsXiaogen Chen0School of Information Science and Technology, Zhanjiang Normal University, Zhanjiang, Guangdong 524048, ChinaLet m≥1 be an integer, let ℬ2m denote the Brualdi-Li matrix of order 2m, and let ℒℬ2m denote the Laplacian matrices of Brualdi-Li tournament digraphs. We obtain the eigenvalues and eigenvectors of ℒℬ2m.http://dx.doi.org/10.1155/2014/940834 |
| spellingShingle | Xiaogen Chen The Spectrum and Eigenvectors of the Laplacian Matrices of the Brualdi-Li Tournament Digraphs Journal of Applied Mathematics |
| title | The Spectrum and Eigenvectors of the Laplacian Matrices of the Brualdi-Li Tournament Digraphs |
| title_full | The Spectrum and Eigenvectors of the Laplacian Matrices of the Brualdi-Li Tournament Digraphs |
| title_fullStr | The Spectrum and Eigenvectors of the Laplacian Matrices of the Brualdi-Li Tournament Digraphs |
| title_full_unstemmed | The Spectrum and Eigenvectors of the Laplacian Matrices of the Brualdi-Li Tournament Digraphs |
| title_short | The Spectrum and Eigenvectors of the Laplacian Matrices of the Brualdi-Li Tournament Digraphs |
| title_sort | spectrum and eigenvectors of the laplacian matrices of the brualdi li tournament digraphs |
| url | http://dx.doi.org/10.1155/2014/940834 |
| work_keys_str_mv | AT xiaogenchen thespectrumandeigenvectorsofthelaplacianmatricesofthebrualdilitournamentdigraphs AT xiaogenchen spectrumandeigenvectorsofthelaplacianmatricesofthebrualdilitournamentdigraphs |