Maximum and Minimum Spectral Radii in an Exceptional Family for Edge-Disjoint Spanning Trees

Xuanyu Cao, Chunxiang Wang

For a connected graph $G$, let $\tau (G)$ denote the maximum number of pairwise edge-disjoint spanning trees, and let $\rho (G)$ be its adjacency spectral radius. For integers $n\ge 1$, $k\…