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articleNo Access
On Graphs with Three or Four Distinct Normalized Laplacian Eigenvalues^*
- Xueyi Huang and
- Qiongxiang Huang
Algebra Colloquium01 Mar 2019
Preview Abstract
We characterize all connected graphs with exactly three distinct normalized Laplacian eigenvalues among which one is equal to 1, and determine all connected bipartite graphs with at least one vertex of degree 1 having exactly four distinct normalized Laplacian eigenvalues. In addition, we find all unicyclic graphs with three or four distinct normalized Laplacian eigenvalues.

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