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Table 4 Distances for the IRTD problem with and without the use of our partition algorithm

From: Approximation algorithm for rearrangement distances considering repeated genes and intergenic regions

OP

\({|\Sigma |}\)

With partition

Without partition

Minimum distance

Average distance

Time

Minimum distance

Average distance

Time

Min.

Avg.

Max.

Min.

Avg.

Max.

 

Min.

Avg.

Max.

Min.

Avg.

Max.

 

25

10

34

42.01

52

35.07

43.70

52.51

6.86

95

97.08

98

99.61

100.12

100.50

12.59

25

20

32

41.89

50

32.53

43.38

51.06

6.74

91

94.79

98

97.78

99.10

99.84

12.53

25

30

34

41.79

48

34.74

43.18

49.83

6.76

85

92.07

96

95.73

97.69

99.68

12.39

25

40

34

41.39

47

35.55

42.60

48.38

6.78

81

89.38

94

91.59

95.91

98.63

12.31

25

50

35

41.97

48

35.00

43.03

50.70

6.68

79

87.64

94

89.88

94.51

98.58

12.28

25

60

37

41.65

48

37.00

42.60

48.27

6.64

77

85.67

93

87.68

93.16

97.16

12.07

25

70

34

41.73

49

34.98

42.68

49.44

6.73

73

82.57

92

85.13

90.79

97.24

11.84

25

80

37

42.26

49

37.54

43.05

50.05

6.83

69

81.44

89

79.81

89.54

95.94

11.73

25

90

35

41.57

48

35.76

42.34

48.57

6.62

71

79.51

89

79.79

87.65

95.32

11.54

25

100

35

41.84

48

36.00

42.57

49.22

6.71

66

79.31

89

77.86

87.45

94.45

11.43

50

10

59

66.72

75

60.61

67.91

76.42

10.13

95

97.64

99

99.91

100.26

100.50

12.59

50

20

57

66.93

74

58.60

68.14

74.67

10.03

94

96.08

98

98.93

99.63

100.39

12.50

50

30

60

67.11

76

61.56

68.25

77.61

10.10

90

94.31

97

97.01

98.73

99.85

12.45

50

40

56

66.21

73

56.47

67.35

74.62

9.97

86

92.72

96

95.12

97.72

99.91

12.36

50

50

59

66.79

74

60.41

67.96

75.60

10.04

87

91.76

96

94.44

96.98

99.49

12.29

50

60

57

66.32

75

57.74

67.39

76.48

10.12

81

89.80

94

92.17

95.72

98.76

12.33

50

70

53

66.66

75

53.77

67.86

76.61

9.88

83

89.43

95

88.72

94.97

98.51

12.16

50

80

59

66.69

72

59.68

67.74

73.50

9.84

77

88.68

95

89.37

94.34

98.27

12.25

50

90

53

66.24

75

54.56

67.30

76.58

10.09

80

87.89

94

87.04

93.64

97.91

12.16

50

100

59

66.36

76

59.44

67.33

76.59

9.85

80

87.03

94

87.12

92.81

96.63

12.06

75

10

71

79.44

86

72.64

80.61

86.68

11.86

96

97.82

99

100.07

100.35

100.61

12.62

75

20

74

79.92

88

74.53

81.05

88.75

11.84

95

96.88

99

98.85

99.94

100.45

12.55

75

30

71

79.72

87

72.55

80.99

88.57

11.94

92

95.69

98

97.62

99.37

100.19

12.50

75

40

69

79.47

88

70.51

80.64

89.64

11.84

90

94.72

97

96.37

98.67

99.91

12.43

75

50

70

80.38

88

70.72

81.49

89.60

12.00

86

93.89

97

95.04

98.09

100.15

12.44

75

60

72

80.04

89

72.59

81.13

89.67

11.88

88

93.55

97

94.59

97.71

99.60

12.43

75

70

72

80.72

89

72.52

81.78

89.68

12.00

88

92.89

97

93.54

97.06

99.82

12.29

75

80

71

79.91

89

72.68

81.05

89.76

11.86

87

91.95

97

93.33

96.27

99.12

12.44

75

90

73

79.81

88

73.65

80.84

88.63

11.98

88

91.74

96

92.58

96.00

99.04

12.37

75

100

73

80.26

89

73.63

81.32

90.53

11.84

85

91.36

96

90.71

95.55

99.20

12.18

100

10

80

86.23

95

80.56

87.44

96.71

13.20

97

98.18

99

100.13

100.42

100.72

12.62

100

20

81

86.61

94

81.70

87.78

94.59

13.26

95

97.20

99

99.28

100.09

100.56

12.54

100

30

79

87.14

93

80.63

88.39

93.81

13.29

94

96.59

98

98.59

99.73

100.30

12.59

100

40

80

87.15

92

81.57

88.31

93.67

13.19

93

95.84

98

97.28

99.29

100.17

12.50

100

50

79

86.92

93

80.53

88.02

94.68

13.18

91

95.26

97

96.09

98.81

100.18

12.47

100

60

79

87.14

93

80.47

88.27

94.56

13.15

90

94.89

98

96.08

98.52

100.15

12.42

100

70

81

87.61

92

82.67

88.71

93.64

13.21

90

94.70

98

94.98

98.21

100.08

12.37

100

80

78

87.98

96

79.69

89.09

96.57

13.47

91

94.55

97

95.46

98.01

99.97

12.50

100

90

79

87.04

93

80.66

88.22

93.65

13.16

89

94.14

97

93.84

97.64

99.72

12.32

100

100

78

87.46

93

80.53

88.50

94.68

13.13

88

93.65

98

92.55

97.19

100.04

12.24