Information Diffusion and Dissipative Effect on Social Networks - IT Enabled Services - page 54

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Time Steps

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Fig. 3.9 The result of diffusion process with the initial value of u 768

Figure 3.9 shows the case of diffusion process with the initial value of u 768 . The
population remains 3 or below until the growth of 3-9 at time step 1,232. There is a
quantum leap of 30-53 at time step 3,074 and a critical quantum leap of 114-203 at
time step 4,097. The population reaches the saturation point at time step 5,109.
Figure 3.10 shows the case of diffusion process with the initial value of u 896 . The
population remains 7 or below until the growth gets up to 10 at time step 3,179.
There is a quantum leap of 40-69 at time step 6,146 or 69-111 at time step 6,150.
A quantum leap occurs also at time step 7,169 (694-753). The population reaches
the saturation point at time step 8,181.
Figure 3.11 shows the diffusion process with a case whose initial value was
u 1024 . The population remains 3 or below until the growth gets up to 23 at time step
1,026. There is a critical quantum leap of 79-138 at time step 2,049. The population
reaches the saturation point at time step 3,061.

3.6.3 Results for Dissipative Effect

Figure 3.12 indicates the result of dissipative effect if the main hub with 60 links is
eliminated from the network. Since there no main hub exists, the major quantum
leap cannot occur in the simulation. The saturation point of the diffusion population
is 694 which cannot exceed the number of diffused users when there is the main hub
in the social network.