Fig. 1.

4 non-isomorphic graphs on $N=11$ vertices which are transient amplifiers of death–Birth updating and have maximum degree $\Delta (\mathcal{G})=4$. a $N_{\text{eff}}=11.0008$, $\delta (\mathcal{G})=3$, $\overline{k}=3.8182$, ${\lambda }_2=0.0567$. b $N_{\text{eff}}=11.0128$, $\delta (\mathcal{G})=2$, $\overline{k}=2.9091$, ${\lambda }_2=0.0399$. c $N_{\text{eff}}=11.0056$, $\delta (\mathcal{G})=2$, $\overline{k}=3.0909$, ${\lambda }_2=0.0451$. d $N_{\text{eff}}=11.0952$, $\delta (\mathcal{G})=2$, $\overline{k}=2.9091$, ${\lambda }_2=0.0481$. This graph can be obtained by removing the edge depicted in red of the graph in Fig. 1c