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Table 2 The effect of Hamming distance on the candidate motif number and occurrence probability for a pair of l-mers under the DNA data

From: RefSelect: a reference sequence selection algorithm for planted (l, d) motif search

i = d H (x, x')

(13, 4)

(15, 5)

(17, 6)

(19, 7)

|M d (x, x')|

p i

|M d (x, x')|

p i

|M d (x, x')|

p i

|M d (x, x')|

p i

14

-

-

-

-

-

-

3.4 × 103

2.0 × 10−1

13

-

-

-

-

-

-

2.7 × 104

1.6 × 10−1

12

-

-

-

-

9.2 × 102

1.9 × 10−1

1.1 × 105

9.7 × 10−2

11

-

-

-

-

6.5 × 103

1.3 × 10−1

3.2 × 105

4.9 × 10−2

10

-

-

2.5 × 102

1.7 × 10−1

2.4 × 104

6.7 × 10−2

7.5 × 105

2.0 × 10−2

9

-

-

1.5 × 103

9.2 × 10−2

6.4 × 104

2.8 × 10−2

1.6 × 106

6.6 × 10−3

8

7.0 × 101

1.3 × 10−1

5.0 × 103

3.9 × 10−2

1.4 × 105

9.3 × 10−3

2.9 × 106

1.8 × 10−3

7

3.5 × 102

5.6 × 10−2

1.3 × 104

1.3 × 10−2

2.8 × 105

2.5 × 10−3

5.0 × 106

4.0 × 10−4

6

1.1 × 103

1.9 × 10−2

2.7 × 104

3.4 × 10−3

5.0 × 105

5.3 × 10−4

8.2 × 106

7.2 × 10−5

5

2.5 × 103

4.7 × 10−3

5.1 × 104

6.8 × 10−4

8.5 × 105

8.8 × 10−5

1.3 × 107

1.0 × 10−5

4

5.2 × 103

8.6 × 10−4

9.0 × 104

1.0 × 10−4

1.4 × 106

1.1 × 10−5

2.0 × 10 7

1.1 × 10 −6

3

9.3 × 103

1.2 × 10−4

1.5 × 105

1.1 × 10−5

2.1 × 10 6

1.1 × 10 −6

3.0 × 10 7

9.5 × 10 −8

2

1.7 × 104

1.1 × 10−5

2.5 × 10 5

8.8 × 10 −7

3.4 × 10 6

7.1 × 10 −8

4.6 × 10 7

5.6 × 10 −9

1

2.6 × 10 4

5.8 × 10 −7

3.7 × 10 5

4.2 × 10 −8

4.9 × 10 6

3.0 × 10 −9

6.4 × 10 7

2.1 × 10 −10

0

6.6 × 10 4

1.5 × 10 −8

8.5 × 10 5

9.3 × 10 −10

1.1 × 10 7

5.8 × 10 −11

1.3 × 10 8

3.6 × 10 −12