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$ΔL-%$$ΔG-pp%$$ΔG-pq%$$Δtinf%$
{1,2} − 25.4 10.0 19.2 30.5
{1,9} − 23.2 15.7 26.5 25.7
{8,9} − 21.5 17.7 29.6 16.9
{3,5} − 0.04 14.9 15.6 3.8
{2,5} + 0.89 15.9 15.0 3.8
{2,4} + 1.42 18.4 18.7 3.8
edge$ΔL-%$$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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