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Table 1 Estimating the epidemic parameters

From: A graph exploration method for identifying influential spreaders in complex networks

Dataset

D1

D2

D3

D4

D5

D6

D7

D8

k

43.69

28.32

8.08

4.82

10.02

7.35

10.69

12.27

k 2

4656.14

4117.03

178.20

55.18

1403.62

468.42

1966.47

1837.40

SIR

 

T c

0.0095

0.0069

0.0475

0.0956

0.0072

0.0159

0.0055

0.0067

T

1.2×T c

1.5×T c

1.2×T c

1.2×T c

T c

2.5×T c

T c

T c

SIS

 

λ c

0.0094

0.0069

0.0453

0.0873

0.0071

0.01557

0.0054

0.0067

\(\widehat {\lambda }\)

λ c

1.3×λ c

λ c

1.1×λ c

1.5×λ c

λ c

1.2×λ c

1.3×λ c

λ

λ c

1.3×λ c

λ c

1.1×λ c

λ c

1.5×λ c

λ c

λ c

  1. T c and λ c are the theoretical epidemic thresholds for SIR and SIS, respectively. \(\widehat {\lambda }\) are the lowest values for which an epidemic phase occurs, that is, the density of infected nodes is non-zero, in the long run. T and λ are the values used in the experiments (see for details the “Estimating the epidemic parameters” section)