Chapter 9 “ Tree graphs ”

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# Chapter 9 “ Tree graphs ” - PowerPoint PPT Presentation

Chapter 9 “ Tree graphs ”. Tree. it is graphs it have edeges and vertices but has no cycles. Traversal Tree There are 3 standard ways of traversing a tree with root R. In order traversal. Pre order traversal. Post order traversal. example: Apply traversal to print the tree:. a. b.

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Presentation Transcript

Chapter

9

“Tree graphs”

Tree

it is graphs it have edeges and vertices but has no cycles

Traversal Tree

There are 3 standard ways of traversing a tree with root R.

In order traversal

Pre order traversal

Post order traversal

example:

Apply traversal to print the tree:

a

b

c

d

e

f

g

h

solution:

• (1) In order traversal:

Left : h d b e .Root : a .Right : f c s .The result : h d b e a f c g .

(2) Pre order traversal :-

Root : a .

Left : b d h e .

Right : c f g .

The result : h d e b f g c a .

(3) Post order traversal:-

Left : h d e b .

Right : f g c .

Root : a .

The result : h d e b f g c a .

Building Tree :

• example:
• Building trees with the data set …
• (1) 50 , 60 , 40 , 30 , 20 , 45 , 65.
• . (2) 10 , 20 , 30 , 40 , 50

solution: (1)

Step1

Step2

Step3

Step4

50

50

50

50

40

60

60

60

40

30

step 5

step 6

step 7

50

50

50

40

60

40

60

40

60

30

30

45

65

30

45

20

20

20

solution: (2)

Step 1

Step 2

Step 3

Step 4

10

10

10

10

20

20

20

30

30

40

Step 5

10

20

30

40

50

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