Chap. 13 Optimization and Matching

1

Dijkstra’s Shortest-Path Algorithm

2

Dijkstra’s Shortest-Path Algorithm

3

Dijkstra’s Shortest-Path Algorithm

4

Dijkstra’s Shortest-Path Algorithm

5

Dijkstra’s Shortest-Path Algorithm

6

Dijkstra’s Shortest-Path Algorithm

7

Minimum Spanning Tree

8

Kruskal’s Algorithm

9

Kruskal’s Algorithm

10

Kruskal’s Algorithm

11

Kruskal’s Algorithm

12

Kruskal’s Algorithm

13

Kruskal’s Algorithm

14

Kruskal’s Algorithm

15

Kruskal’s Algorithm

16

Kruskal’s Algorithm

17

Kruskal’s Algorithm

18

Kruskal’s Algorithm

19

Kruskal’s Algorithm

20

Theorem 13.1

1.2.

3.

4.5.6.

21

Theorem 13.1

7.

8.

9.

10.

22

Theorem 13.1

11.12.13.

14.

23

(Transport) Network

24

Flow for Network

Which of the following is a flow for the given network?OX

25

Value of Flow

Which of the following edge is saturated?

26

Cut

27

Capacity of Cut

28

Theorem 13.3

1.2.3.

4.

29

Theorem 13.3

5.

30

Theorem 13.3

6.

7.

8.

31

Corollaries1.

2.

3.

32

Example 13.9

33

Semipath, Forward Edge, and Backward Edge

34

f-augmenting path

35

Tolerance on Edge

21

11

36

Theorem 13.4

37

Theorem 13.5

1.

2.

3.

38

Theorem 13.54.5.6.

7.P

39

Theorem 13.6

1.2.3.4.

40