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Advances, Systems and Applications

Table 1 An instance of jump sequence selection

From: Fast methods for designing circulant network topology with high connectivity and survivability

(a) Type-I

k 2

Col.

2

3

4

k 3

2

(w 2,w 3)

—

—

—

—

—

—

D sel

—

—

—

—

—

—

(w 2,w 3)

—

(48,55)

(40,55)

(32,55)

(30,55)

(24,55)

D sel

—

3.3871

3.7419

3.4516

3.5161

3.6129

3

(w 2,w 3)

—

(39,45)

(33,45)

(26,45)

(25,45)

(19,45)

D sel

—

4.0645

3.6613

3.6452

3.5161

3.3871

(w 2,w 3)

—

(31,36)

(27,36)

(20,36)

(20,36)

(15,36)

D sel

—

3.5323

3.8226

3.6613

3.6613

3.5806

4

(w 2,w 3)

—

(29,34)

(26,34)

(19,34)

(19,34)

(14,34)

D sel

—

3.8871

3.3387

3.7581

3.7581

3.3871

(w 2,w 3)

—

(22,27)

(21,27)

(15,27)

(15,27)

(11,27)

D sel

—

3.6290

3.4194

3.8871

3.8871

3.4355

(b) Type-II

k 2

Col.

2

3

4

k 3

2

(w 2,w 3)

—

(51,52)

(41,52)

(36,52)

(31,52)

(28,52)

D sel

—

4.5645

3.9677

4.1774

4.1290

3.5161

(w 2,w 3)

—

(41,46)

(33,46)

(29,46)

(26,46)

(22,46)

D sel

—

3.9516

3.9839

3.4194

3.6452

3.8710

3

(w 2,w 3)

—

(33,37)

(27,37)

(23,37)

(21,37)

(18,37)

D sel

—

3.4677

3.4194

3.4194

3.4032

4.5161

(w 2,w 3)

(30,33)

(26,33)

(22,33)

(18,33)

(17,33)

(14,33)

D sel

5.1290

3.6935

3.5968

3.5484

4.0323

3.4032

4

(w 2,w 3)

—

(25,29)

(20,29)

(17,29)

(16,29)

(13,29)

D sel

—

3.5645

3.6129

3.3710

3.5484

3.7419

(w 2,w 3)

(23,25)

(19,25)

(16,25)

(14,25)

(13,25)

(10,25)

D sel

4.5968

3.5323

3.5484

3.7097

4.5968

3.4677

  1. —: Denotes that W is out of the range of definition