3

© Cengage Learning Australia Pty Ltd 2016 Nelson Senior Maths MATHS11WK01052 www.nelsonnet.com.au 1 of 3 Calculate the minimum spanning tree for each of the following graphs. 1 20 13 11 14 16 15 19 10 18 18 19 23 17 26 19 12 18 15 14 2 65 72 71 89 136 123 138 96 75 53 119 112 118 107 101 135 51 3 31 26 37 35 46 31 50 41 32 22 36 24 33 35 29 34 41 37 36 35 WORKSHEET Minimum spanning trees MATHS11WK01052.indd 1 22/02/16 11:04 AM

Worksheet Minimum spanning treeslearn.stleonards.vic.edu.au › ... › 06 › ...Minimum-Spanning-Tree-Work… · Calculate the minimum spanning tree for each of the following graphs

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Page 1: Worksheet Minimum spanning treeslearn.stleonards.vic.edu.au › ... › 06 › ...Minimum-Spanning-Tree-Work… · Calculate the minimum spanning tree for each of the following graphs

© Cengage Learning Australia Pty Ltd 2016 Nelson Senior Maths MATHS11WK01052 www.nelsonnet.com.au

1 of 3

Calculate the minimum spanning tree for each of the following graphs.

1

20

13

11 14

1615

19

10

1818

19

23

1726

19

12

18

15

14

2 65

72

71

89

136

123

13896

75

53

119112

118

107101

13551

3

31

2637

35

4631

50

41

32

2236

24

33

35

29 34

41

37

36

35

Worksheet

Minimum spanning trees

MATHS11WK01052.indd 1 22/02/16 11:04 AM

Page 2: Worksheet Minimum spanning treeslearn.stleonards.vic.edu.au › ... › 06 › ...Minimum-Spanning-Tree-Work… · Calculate the minimum spanning tree for each of the following graphs

2 of 3

© Cengage Learning Australia Pty Ltd 2016 Nelson Senior Maths MATHS11WK01052 www.nelsonnet.com.au

4 115

131 126140

122

128

201196216

122

238

173205137

125

187

247

109117

5

502370

302

611

372

355

365 351

365407

348

341 442

286

406353

437

425

388792

370336

6

391

451

388 386372

449

461

481

408

347

412

399

341

390 438

424455

328

361399

433

MATHS11WK01052.indd 2 22/02/16 11:04 AM

Page 3: Worksheet Minimum spanning treeslearn.stleonards.vic.edu.au › ... › 06 › ...Minimum-Spanning-Tree-Work… · Calculate the minimum spanning tree for each of the following graphs

3 of 3

© Cengage Learning Australia Pty Ltd 2016 Nelson Senior Maths MATHS11WK01052 www.nelsonnet.com.au

Answers

1 161

2 679

3 377

4 1545

5 4181

6 4569

MATHS11WK01052.indd 3 22/02/16 11:04 AM

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