Table 4 Statistics about selected pairs of strategies for two campaigns: the seed set \(S_{0}^{(1)}\) (resp. \(S_{0}^{(2)}\)) computed for the first-started or “bad” (resp. second-started or “good”) campaign SS1 (resp. SS2), the spread \(|\Phi (S_{0}^{(1)})| (resp. |\Phi (S_{0}^{(2)})|\)), the Forest Wiener Index (FWI) (Krishnan et al. 2016) to measure the structural virality over the k seed-rooted diffusion trees, the fraction of spread of the bad campaign shared with the good campaign (shared column), the percentage of shared users that were activated first by the bad campaign (SS1 first column), the average time of activation of the shared users, and the average time of activation of the shared users by the bad campaign before the good campaign, and vice versa
From: Complex influence propagation based on trust-aware dynamic linear threshold models
Network | SS 1 | SS 2 | \(|\Phi (S_{0}^{(1)})|\) | \(|\Phi (S_{0}^{(2)})|\) | FWI 1 | FWI 2 | shared | SS1 first | avg. activation time | ||
|---|---|---|---|---|---|---|---|---|---|---|---|
any | SS1 first | SS2 first | |||||||||
Epinions | Stress-Triads | I-Sources | 10595 | 23321 | 8.63 | 8.61 | 0.99 | 28% | 6.03 | 0.67 | 5.27 |
M-Sources | I-Sources | 59 | 23321 | 0.12 | 8.61 | 0.01 | 100% | 4.0 | 3.0 | 0.0 | |
Slashdot | Stress-Triads | I-Sources | 3263 | 18671 | 6.54 | 10.43 | 0.98 | 40% | 6.56 | 2.54 | 7.63 |
M-Sources | I-Sources | 58 | 18671 | 0.13 | 10.43 | 0.05 | 100% | 4.0 | 5.0 | 0.0 | |
Wiki-Conflict | Stress-Triads | I-Sources | 344 | 5968 | 1.96 | 4.93 | 0.84 | 95% | 2.43 | 1.43 | 4.93 |
M-Sources | I-Sources | 203 | 5968 | 0.0 | 4.93 | 0.75 | 98% | 3.64 | 0 | 9.5 | |
Least-New | Most-New | 216 | 424 | 0.07 | 0.86 | 0.7 | 100% | 3.77 | 0 | 0 | |
Wiki-Vote | Stress-Triads | I-Sources | 727 | 394 | 5.36 | 3.35 | 0.45 | 78% | 4.32 | 0.54 | 5.87 |
M-Sources | I-Sources | 172 | 394 | 2.28 | 3.35 | 0.41 | 79% | 4.04 | 0.05 | 3.93 | |
Least-New | Most-New | 165 | 159 | 1.03 | 1.74 | 0.13 | 63% | 2.72 | 0.0 | 4.37 | |