Insertion in a B+ Tree

Insert: 8

Insertion in a B+ Tree

8

Insert: 5

Insertion in a B+ Tree

5 8

Insert: 1

Overflow – create a new level

5

Insertion in a B+ Tree

1 5 8

Insert: 7

5

Insertion in a B+ Tree

1 5 7 8

Insert: 3

Overflow - Split

3 5

Insertion in a B+ Tree

1 3 5 7 8

Insert: 12

Overflow - Split

Propagates to a new level

5

83

Insertion in a B+ Tree

1 3 5 7 8 12

Insert: 9

5

83

Insertion in a B+ Tree

1 3 5 7 8 9 12

Insert: 6

Overflow – Split

Insertion in a B+ Tree

7 8

5

3

1 3 5 6 7 9 128

Resulting B+-tree

91 6

7

Deletion in a B+-Tree

1 5 6 7 8 9 12

Delete: 5

91 6

7

Deletion in a B+-Tree

1 7 8 9 126

Delete: 12

Underflow - redistribute

81 6

7

Deletion in a B+-Tree

1 76 98

Delete: 9

81 6

7

Deletion in a B+-Tree

1 76 8

Underflow

merge with the left propagate reduce the tree levels

1 6 7 8

1 6

Deletion in a B+-Tree