Table 2 Fraction of significant communities identified by the S–test, the L–test, the (qmod, s)–test, the (qint, s)–test, the (qexp, s)–test and the (qcnd, s)–test in the 12 empirical networks.

From: A generalised significance test for individual communities in networks

Network

S

L

\({{\boldsymbol{q}}}_{{\boldsymbol{c}}}^{{\bf{mod}}}\)

\({{\boldsymbol{q}}}_{{\boldsymbol{c}}}^{{\bf{int}}}\)

\({{\boldsymbol{q}}}_{{\boldsymbol{c}}}^{\exp }\)

\({{\boldsymbol{q}}}_{{\boldsymbol{c}}}^{{\bf{cnt}}}\)

n c

vol c

n c

vol c

n c

vol c

n c

vol c

Karate

1.00

0.33

0.67

1.00

0.00

0.00

0.00

0.00

0.00

0.33

Dolphin

1.00

0.50

1.00

0.75

0.00

0.00

0.00

0.00

0.50

0.50

Les Misérables

0.40

0.40

0.40

0.60

0.20

0.40

0.00

0.00

0.50

0.40

Enron

1.00

0.00

1.00

1.00

0.33

0.67

0.00

0.00

1.00

1.00

Jazz

0.67

0.67

0.67

1.00

0.67

0.83

0.00

0.00

1.00

1.00

Netscience

1.00

0.64

1.00

1.00

0.91

0.82

0.09

0.09

0.91

1.00

Blog

0.00

1.00

1.00

1.00

0.50

0.50

0.00

0.00

1.00

1.00

Airport

0.00

0.60

0.70

0.80

0.15

0.55

0.00

0.00

0.40

0.20

Protein

0.00

0.35

0.14

0.22

0.03

0.12

0.01

0.01

0.00

0.00

Chess

0.00

0.25

0.13

0.15

0.36

0.58

0.00

0.00

0.01

0.03

Astro-ph

0.61

0.24

0.53

1.00

1.00

0.00

0.00

0.33

0.12

Internet

0.55

0.65

0.60

0.00

0.18

0.00

0.00

0.00

0.02

  1. The hyphen indicates that the test did not terminate within 64 days on our computer (Intel 2.6 GHz Sandy Bridge processors and 4GB of memory).