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GreedyMaxCut a b w c d e 1.

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Presentation on theme: "GreedyMaxCut a b w c d e 1."— Presentation transcript:

1 GreedyMaxCut a b w c d e 1

2 GreedyMaxCut a Edges cut: 0 2

3 GreedyMaxCut a b Edges cut: 1 3

4 GreedyMaxCut a b Edges cut: 2 c 4

5 GreedyMaxCut a b Edges cut: 3 c d 5

6 GreedyMaxCut a b Edges cut: 3 c d e 6

7 GreedyMaxCut a b Edges cut: 3 w c d e 7

8 Complement Graphs a a b b c d c d e e 8

9 Independent Set  Vertex Cover
a a b b c d c d e e 9

10 Maximal matching a b c d e 10

11 Maximal matching a b c d e 11

12 Maximal matching and endpoints
b c d e 12

13 Comment cards 13

14 a b w c d e Vertex Cover ---> Max-Cut
w-b, w-c, w-e have weights 1 – 1 = 0 e 14

15 a b w c d e Vertex Cover ---> Max-Cut Edges cut: 6
Edges incident to {a, c}: a-c, c-d, a-b, a-d w c d 4 *2 - |{a, c}| = 6 e 15

16 a b w c d e Vertex Cover ---> Max-Cut Edges cut: 8
Edges incident to {a, d}: All 5 edges w c d 5 *2 - |{a, d}| = 8 e 16


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