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arXiv · 2312.04797

Distribution of signless Laplacian eigenvalues and graph invariants

Leyou Xu·Bo Zhou
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Abstract

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.

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Leyou Xu, Bo Zhou. 2024-06-02. Distribution of signless Laplacian eigenvalues and graph invariants. https://arxiv.org/abs/2312.04797

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