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Table 1 Summary of compression rates for all the networks in our large scale dataset

From: Metabolic network alignment in large scale by network compression

Network size intervals

Average number of nodes

Average number of edges

 

c = 0

c = 1

c = 2

c = 3

c = 0

c = 1

c = 2

c = 3

[0, 100)

41.5

26.5

26.5

19.1

19.1

15

14.8

83.5

55.2

55.5

36.3

36.5

23.6

23.5

[100, 200)

154.8

92.4

92.2

61.3

61.5

48.6

48.6

310.1

174.9

174

116.5

118.1

96.3

94.6

[200, 300)

240.5

139.1

139.4

89.2

89.1

69.4

69.7

508.1

296.5

298.4

230.5

228.4

187.8

188.1

[300, 400]

344.9

207.3

207.6

133.1

133.8

103

104.5

585.7

372.9

373.5

302.7

300.4

261.6

259.9

[850, 1250]

1080.5

623.2

623.7

406.8

407.9

311.3

311.9

3727

2269

2280.6

1732.7

1733.8

1584.8

1587.5

[1500, 1615]

1576.5

909

910

582

583

447.8

444.6

4740

2955.2

2964.3

2283.5

2279.3

2128.8

2129.6

  1. We create six intervals according to number of reactions in these networks. Each row, corresponding to one such interval, shows the average number of nodes and edges before compression (i.e., c = 0) and after compression of different levels (i.e., c ∈ {1, 2, 3}). For each row, top entries correspond to numbers obtained with the M D S method which selects the first node from the list of nodes with minimum degree at each intermediate step and compresses it with its first neighbor from the list of its neighbors. The bottom entries that are in bold correspond to the averages of 100 different compressions which are gathered by randomizing the step at which a node is selected among the set of minimum degree nodes.