Distribution of signless Laplacian eigenvalues and graph invariants
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866916268479610880 |
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| author | Xu, Leyou Zhou, Bo |
| author_facet | Xu, Leyou Zhou, Bo |
| contents | For a simple graph on $n$ vertices, any of its signless Laplacian eigenvalues is in the interval $[0, 2n-2]$. In this paper, we give relationships between the number of signless Laplacian eigenvalues in specific intervals in $[0, 2n-2]$ and graph invariants including matching number and diameter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_04797 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Distribution of signless Laplacian eigenvalues and graph invariants Xu, Leyou Zhou, Bo Combinatorics For a simple graph on $n$ vertices, any of its signless Laplacian eigenvalues is in the interval $[0, 2n-2]$. In this paper, we give relationships between the number of signless Laplacian eigenvalues in specific intervals in $[0, 2n-2]$ and graph invariants including matching number and diameter. |
| title | Distribution of signless Laplacian eigenvalues and graph invariants |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2312.04797 |