Correction to: Scientific Reports https://doi.org/10.1038/s41598-018-29626-w, published online 26 July 2018

In Figure 9, the graphs on the Left are incorrect duplications of the graphs in the Middle, in both rows. The correct Figure 9 appears below as Figure 1.

Figure 1
figure 1

Tolerance against the trigger of multi-attacks for our detour routing on (Left) SF networks, onionlike networks by MED-kmin of (Middle) μ = 0, and (Right) μ = 4. Line and mark distinguish the cases of simultaneously removing nm nodes selected in decreasing order of degree and load from the maximum, respectively, however there is little difference between them.