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Table 2 Dependence of a number of connected components, their maximal and average sizes, and edge density from similarity threshold used to construct ’CC graph’

From: Topological structure analysis of chromatin interaction networks

Similarity threshold

Number of components

Max size

Average size

Average density

0.00

48

279

63.2

0.740

0.05

65

223

49.6

0.781

0.10

72

223

46.5

0.785

0.15

85

183

42.0

0.775

0.20

98

183

38.3

0.787

0.25

110

152

34.7

0.782

0.30

128

114

31.6

0.752

0.35

151

107

27.2

0.727

0.40

183

107

22.8

0.713

0.45

220

102

21.4

0.686

0.50

280

100

18.4

0.688

0.55

344

100

16.4

0.680

0.60

450

71

14.9

0.680

0.65

580

70

14.1

0.669

0.70

732

64

12.4

0.641

0.75

959

64

9.9

0.656

0.80

1212

63

8.8

0.653

0.85

1484

55

8.0

0.663

0.90

1789

41

6.7

0.706

0.95

2072

16

5.8

0.748

  1. In ’CC graph’ components represented by vertices are connected by edges if their similarity exceeds the threshold value. The data are given for chromosome 6 but are similar for other chromosomes. The minimal component size is 1 even for similarity threshold 0. Edge density of components with n vertices and m edges is defined as 2m/n(n−1) and shows how close these components are to complete graphs. Average component sizes and average densities are computed taking into account only components with more 4 or more vertices