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Table 2 Statistics of glycans, G02703, G03655, G03710, G04045, G04458, G04666, G04859, G05058,G05256, G05552, G06867, and G09054, and results on the grammar size

From: Integer programming-based method for grammar-based tree compression and its application to pattern extraction of glycan tree structures

glycan

max degree

# vertices

# distinct labels

Min SEOTG

Min SEUTG

TREE-BISECTION

size

time

size

time

size

time

G02703

3

26

3

22

3.68

22

2.9

32

0.001

G03655

3

34

3

47

0.96

47

2.32

49

0.001

G03710

3

28

3

20

0.47

20

0.51

20

0.001

G04045

3

36

3

20

1.77

20

1.98

22

0.001

G04458

3

21

2

16

1.55

16

0.69

36

0.001

G04666

3

20

4

25

1.41

25

0.94

33

0.001

G04859

3

19

5

27

0.12

27

0.25

29

0.001

G05058

3

25

5

26

3.03

26

66.28

36

0.001

G05256

3

25

2

19

3.14

19

3.98

29

0.001

G05552

3

19

5

27

0.66

23

0.23

27

0.001

G06867

3

28

3

22

2.22

22

6.46

26

0.001

G09054

4

31

5

29

2.81

29

6.71

29

0.001

  1. Statistics of glycans, G02703, G03655, G03710, G04045, G04458, G04666, G04859, G05058, G05256, G05552, G06867, and G09054, and results on the grammar size and the elapsed time (seconds) by our proposed IP-based methods for the minimum SEOTG and SEUTG problems, and TREE-BISECTION [10].