matrix operations

7
Matrix Operations D C B A 0 0 1 1 0 1 0 1 1 0 1 0 0 1 1 1 0 0 1 0 1 0 0 1 1 1 C 1 1 1 1 1 1 0 1 1 0 1 0 1 1 1 1 1 0 0 1 1 1 0 0 1 0 1 0 0 1 1 1 1 0 0 1 1 1 0 0 1 0 1 0 0 1 1 1 2 C C C Replace ‘add’ by ‘OR’ and ‘Multiply’ by ‘AND’ Paths of length 2 or less

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A. B. C. D. Matrix Operations. Replace ‘add’ by ‘OR’ and ‘Multiply’ by ‘AND’. Paths of length 2 or less. A. B. C. D. Matrix operations on graphs. Replace ‘add’ by ‘OR’ and ‘Multiply’ by ‘AND’. Existence of paths containing exactly two edges. A. B. C. D. - PowerPoint PPT Presentation

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Page 1: Matrix Operations

Matrix Operations

DC

BA

0

01

10

10

110

1001

1100

1010

0111

C

1111

1101

1010

1111

1001

1100

1010

0111

1001

1100

1010

0111

2 CCC Replace ‘add’ by ‘OR’ and ‘Multiply’ by ‘AND’

Paths of length 2 or less

Page 2: Matrix Operations

Matrix operations on graphs

0001

1000

1000

0110

C

DC

BA

0110

0001

0001

1000

0001

1000

1000

0110

0001

1000

1000

0110

2 CCC

Replace ‘add’ by ‘OR’ and ‘Multiply’ by ‘AND’

Existence of paths containing exactly two edges

Page 3: Matrix Operations

Matrix operations on graphs

0001

1000

1000

0110

C

DC

BA

0110

0001

0001

2000

0001

1000

1000

0110

0001

1000

1000

0110

2 CCC

Keep ‘add’ replace ‘Multiply’ by ‘AND’

Number of paths containing exactly two edges

Page 4: Matrix Operations

Matrix operations on graphs

0001

1000

1000

0110

C

0110

0001

0001

2000

0001

1000

1000

0110

0001

1000

1000

0110

2 CCCDC

BA

Keep ‘add’ replace ‘Multiply’ by ‘AND’

Number of paths containing exactly two edges

0110

0001

0001

2000

0001

1000

1000

0110

0001

1000

1000

0110

23 CCC

Page 5: Matrix Operations

A B C D E F

A 0 3 1

B 0 4

C 6 0

D 1 0

E 5 0

F 3 2 2 0

F

E

D

C

B

A

1

21

4

5

2 6

3 3

A B C D E F

A 0 1 1

B 0 1

C 1 0

D 1 0

E 1 0

F 1 1 1 0

Distance Matrix

Edge connectivity

Matrix operations

Page 6: Matrix Operations

Matrix operations

02122623

0515

0161

4606

540

431130

F

E

D

C

B

A

1

21

4

5

2 6

3 3

0223

05

01

06

40

130

0223

05

01

06

40

130

Page 7: Matrix Operations

(4,32)

(4,3,2), (5, 2,1), (6,4,5)

(2, 43)(5,12)

(2, 51)

(1,52)

(6,45)

(5,46)

(4,56)

(3,42)

table