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A network is shown. v u 6 2 4 5 2 3 5 4 3 What is N + (a)? (a) 7(b) 8 (c) 1(d) {b,c} (e) {u, d} (f) {u, b, c, d} a b c d.

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Presentation on theme: "A network is shown. v u 6 2 4 5 2 3 5 4 3 What is N + (a)? (a) 7(b) 8 (c) 1(d) {b,c} (e) {u, d} (f) {u, b, c, d} a b c d."— Presentation transcript:

1 A network is shown. v u 6 2 4 5 2 3 5 4 3 What is N + (a)? (a) 7(b) 8 (c) 1(d) {b,c} (e) {u, d} (f) {u, b, c, d} a b c d

2 A network is shown. v u 6 2 4 5 2 3 5 4 3 What is N - (a)? (a) 7(b) 8 (c) 1(d) {b,c} (e) {u, d} (f) {u, b, c, d} a b c d

3 A network is shown. v u 6 2 4 5 2 3 5 4 3 What is c(d,V)? (a) 6(b) 9 (c) 11(d) 5 (e) {a, b, v} (f) {c, a, b, v} a b c d

4 A network is shown. v u 6 2 4 5 2 3 5 4 3 What is c(V, b)? (a) 8(b) 9 (c) 11(d) 3 (e) {a, d} (f) {v} a b c d

5 A network is shown, with a flow f. v u 6,2 2,2 4,1 5,3 2,1 3,2 5,1 4,1 3,3 What is f(d,V)? (a) 8(b) 9 (c) 11(d) 3 (e) {a, d} (f) {v} a b c d

6 A network is shown, with a flow f. v u 6,2 2,2 4,1 5,3 2,1 3,2 5,1 4,1 3,3 What is f(V, a)? (a) 8(b) 9 (c) 11(d) 3 (e) {a, d} (f) {v} a b c d

7 A network is shown, with a flow f. v u 6,2 2,2 4,1 5,3 2,1 3,2 5,1 4,1 3,3 What is f(V, c) – f(c,V)? (a) 0(b) -3 (c) 11(d) 3 (e) {a, d} (f) {v} a b c d

8 A network is shown, with a flow f. v u 6,2 2,2 4,1 5,3 2,1 3,2 5,1 4,1 3,3 What is val(f)? (a) 0(b) -3 (c) 4(d) 3 (e) 2 (f) 8 a b c d

9 A network is shown, with a flow f. v u 6,2 2,2 4,1 5,3 2,1 3,2 5,1 4,1 3,3 Is f a maximum flow? (a) Yes (b) No (c) I have absolutely no idea a b c d

10 A network is shown, with a flow f. v u 6,2 2,2 4,1 5,3 2,1 3,2 5,1 4,1 3,3 If X = {u, a, c}, what is the capacity of the cut (a) 5 (b) 4 (c) 8 (d) 6 (e) 2(f) 10 a b c d

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