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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.

edge	$Δ \bar{L} (%)$	$Δ {\bar{G}}_{p p} (%)$	$Δ {\bar{G}}_{p q} (%)$	$Δ t_{inf} (%)$
{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

edge	$Δ \bar{L} (%)$	$Δ {\bar{G}}_{p p} (%)$	$Δ {\bar{G}}_{p q} (%)$	$Δ t_{inf} (%)$
{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. $Δ \bar{L} (%)$ is the percentage of change respect to the original graph in the average communicability shortest path length. $Δ {\bar{G}}_{p p} (%)$ and $Δ {\bar{G}}_{p q} (%)$ are the percentage of change with respect to the original graph for the values of G_pp and G_pq averaged for the nodes and edges in the shortest communicability paths. $Δ t_{inf} (%)$ 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 x_i(0) = 1/9 for all i.

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