Skip to main content

Table 3 Comparison of the percentage of computed distances that are equal to transposition distance, given by different algorithms (WDM [15], M [23], BPwh [34] and DD [9]), in comparison to the EH algorithm and ours

From: A new 1.375-approximation algorithm for sorting by transpositions

n

WDM

M

BPwh

DD

EH

Alg1

2

100.00

100.00

100.00

100.00

3

100.00

100.00

100.00

100.00

4

100.00

100.00

100.00

100.00

100.00

5

100.00

100.00

100.00

100.00

100.00

6

99.17

100.00

100.00

100.00

99.86

100.00

7

98.58

100.00

100.00

100.00

94.90

95.47

8

97.11

99.69

99.91

100.00

91.64

92.65

9

96.05

99.17

99.72

99.99

86.62

88.54

10

94.12

98.09

99.97

83.80

86.53

11

92.81

96.90

79.40

82.98

12

76.67

80.91

  1. Decimal values are truncated to 2 places