Eigenvalues of multipart matrices and their applications
A square matrix is called a multipart matrix if all its diagonal entries are zero and all other entries in each column are constant. In this paper, we describe various interesting spectral properties of multipart matrices. We provide suitable bounds for the spectral radius of a multipart matrix. La...
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| Language: | English |
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American Journal of Combinatorics
2023-09-01
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| Series: | The American Journal of Combinatorics |
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| Online Access: | https://ajcombinatorics.org/ojs/index.php/AmJC/article/view/12 |
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| _version_ | 1849715705667125248 |
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| author | Ranjit Mehatari |
| author_facet | Ranjit Mehatari |
| author_sort | Ranjit Mehatari |
| collection | DOAJ |
| description |
A square matrix is called a multipart matrix if all its diagonal entries are zero and all other entries in each column are constant. In this paper, we describe various interesting spectral properties of multipart matrices. We provide suitable bounds for the spectral radius of a multipart matrix. Later on, we show applications of multipart matrices in spectral graph theory.
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| format | Article |
| id | doaj-art-e1ccf8d76c69499f935f127ff01c9040 |
| institution | DOAJ |
| issn | 2768-4202 |
| language | English |
| publishDate | 2023-09-01 |
| publisher | American Journal of Combinatorics |
| record_format | Article |
| series | The American Journal of Combinatorics |
| spelling | doaj-art-e1ccf8d76c69499f935f127ff01c90402025-08-20T03:13:14ZengAmerican Journal of CombinatoricsThe American Journal of Combinatorics2768-42022023-09-01210.63151/amjc.v2i.12Eigenvalues of multipart matrices and their applicationsRanjit Mehatari A square matrix is called a multipart matrix if all its diagonal entries are zero and all other entries in each column are constant. In this paper, we describe various interesting spectral properties of multipart matrices. We provide suitable bounds for the spectral radius of a multipart matrix. Later on, we show applications of multipart matrices in spectral graph theory. https://ajcombinatorics.org/ojs/index.php/AmJC/article/view/12Multipart matrixComplete multipartite graphEquitable partitionEigenvalue bound |
| spellingShingle | Ranjit Mehatari Eigenvalues of multipart matrices and their applications The American Journal of Combinatorics Multipart matrix Complete multipartite graph Equitable partition Eigenvalue bound |
| title | Eigenvalues of multipart matrices and their applications |
| title_full | Eigenvalues of multipart matrices and their applications |
| title_fullStr | Eigenvalues of multipart matrices and their applications |
| title_full_unstemmed | Eigenvalues of multipart matrices and their applications |
| title_short | Eigenvalues of multipart matrices and their applications |
| title_sort | eigenvalues of multipart matrices and their applications |
| topic | Multipart matrix Complete multipartite graph Equitable partition Eigenvalue bound |
| url | https://ajcombinatorics.org/ojs/index.php/AmJC/article/view/12 |
| work_keys_str_mv | AT ranjitmehatari eigenvaluesofmultipartmatricesandtheirapplications |