Ordering graphs with cut edges by their spectral radii

Let G_n^k\mathcal{G}_n^k denote a set of graphs with n vertices and k cut edges. In this paper, we obtain an orderof the first four graphs in G_n^k\mathcal{G}_n^k in terms of their spectral radii for $6 \leqslant k \leqslant \tfrac{{n - 2}} {3}$6 \leqslant k \leqslant \tfrac{{n - 2}} {3}.