Laplacian eigenvalue distribution for unicyclic graphs
Sunyo Moon, Seungkook Park·2023-10-13·via math.CO updates on arXiv.org
Let $G$ be a unicyclic graph. In this paper, we provide an upper bound for the number of Laplacian eigenvalues of $G$ within the interval $[0,1)$ in terms of the diameter and the girth of $G$.