Table 4 The comparison of \({F}_{N}^{*}\), \({M}_{2}^{*}\) and \(HM_{N}\) for D1(t), D2(t) and D3(t) graphs.

From: Mathematical modeling and topological graph description of dominating David derived networks based on edge partitions

\(t\)

\({F}_{N}^{*}\)(D1)

\({F}_{N}^{*}\)(D2)

\({F}_{N}^{*}\)(D3)

\({M}_{2}^{*}\)(D1)

\({M}_{2}^{*}\)(D2)

\({M}_{2}^{*}\)(D3)

\(HM_{N}\)(D1)

\(HM_{N}\)(D2)

\(HM_{N}\)(D3)

1

1221

526

608

233

236

272

2270

1493

1152

2

5912

4626

5856

2143

2188

2720

10,084

9992

11,296

3

15,031

13,298

17,152

6231

6372

8048

26,682

27,527

33,248

4

28,578

26,542

34,496

12,497

12,788

16,256

52,064

54,098

67,008

5

46,553

44,358

57,888

20,941

21,436

27,344

86,230

89,705

112,576

6

68,956

66,746

87,328

31,563

32,316

30,512

129,180

134,348

169,952