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Table 1. 
Values of different structural and dynamical parameters for the graph illustrated in Figure 5 to which edges have been removed. See note below.
edgeΔL-%ΔG-pp%ΔG-pq%Δtinf%
{1,2} − 25.4 10.0 19.2 30.5 
{1,9} − 23.2 15.7 26.5 25.7 
{8,9} − 21.5 17.7 29.6 16.9 
{3,5} − 0.04 14.9 15.6 3.8 
{2,5} + 0.89 15.9 15.0 3.8 
{2,4} + 1.42 18.4 18.7 3.8 
edgeΔL-%ΔG-pp%ΔG-pq%Δtinf%
{1,2} − 25.4 10.0 19.2 30.5 
{1,9} − 23.2 15.7 26.5 25.7 
{8,9} − 21.5 17.7 29.6 16.9 
{3,5} − 0.04 14.9 15.6 3.8 
{2,5} + 0.89 15.9 15.0 3.8 
{2,4} + 1.42 18.4 18.7 3.8 

Note. The edges correspond to the labeling of the nodes in the mentioned figure. ΔL-% is the percentage of change respect to the original graph in the average communicability shortest path length. ΔG-pp% and ΔG-pq% are the percentage of change with respect to the original graph for the values of Gpp and Gpq averaged for the nodes and edges in the shortest communicability paths. Δtinf% is the time needed by a disease factor to infect all the nodes of the corresponding graph in an SI simulation by using the approximate solution described below with β = 0.005 and initial condition xi(0) = 1/9 for all i.

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