Fig. 1.

The 4-regular graph of order 11 used to construct a transient amplifier for $1<r<r_{\mathit{max}}\approx 1.00075$. a The vertex $v_6$ has the maximal remeeting time ${\tau }_6=17.6997$ and a transient amplifier arises if an edge from this vertex is removed. Due to the symmetry removing any of the 4 edges yields a graph with $N_{\mathit{eff}}=11.0008>11$. b The ratio between the fixation probability of the graph $\mathcal{G}$ and the complete graph which indicates a transient amplifier for ${\varrho }_{\mathcal{G}}(r)/{\varrho }_{\mathcal{N}}(r)>1$