Maximum Bottleneck Paths Maximum Bottleneck Path p q

Maximum Bottleneck Paths

Maximum Bottleneck Path p q wt ------- index 0 1 2 3 4 5 6 7 8 9 parent weight 0 1 2 3 4 5 6 7 8 9 8 0 3 4 6 9 5 1 7 2 2

Maximum Bottleneck Path p q wt ------3 4 14 index 0 1 2 3 4 5 6 7 8 9 parent weight 0 1 2 3 4 5 6 7 8 9 8 0 3 4 6 9 5 1 7 2 3

Maximum Bottleneck Path p q wt ------3 4 14 index 0 1 2 3 4 5 6 7 8 9 parent weight 0 1 2 4 14 4 5 6 7 8 9 8 0 3 14 4 6 9 5 1 7 2 4

Maximum Bottleneck Path p q wt ------3 4 14 4 9 6 index 0 1 2 3 4 5 6 7 8 9 parent weight 0 1 2 4 14 4 5 6 7 8 9 8 0 3 14 4 6 9 5 1 7 2 5

Maximum Bottleneck Path p q wt ------3 4 14 4 9 6 index 0 1 2 3 4 5 6 7 8 9 parent weight 0 1 2 4 14 9 6 5 6 7 8 9 8 0 3 14 7 2 4 6 1 6 9 5 6

Maximum Bottleneck Path p q wt ------3 4 14 4 9 6 8 0 7 index 0 1 2 3 4 5 6 7 8 9 parent weight 0 1 2 4 14 9 6 5 6 7 8 9 8 0 3 14 7 2 4 6 1 6 9 5 7

Maximum Bottleneck Path p q wt ------3 4 14 4 9 6 8 0 7 index 0 1 2 3 4 5 6 7 8 9 parent weight 0 1 2 4 14 9 6 5 6 7 0 7 9 8 7 0 3 14 7 2 4 6 1 6 9 5 8

Maximum Bottleneck Path p q wt ------3 4 14 4 9 6 8 0 7 2 3 44 index 0 1 2 3 4 5 6 7 8 9 parent weight 0 1 2 4 14 9 6 5 6 7 0 7 9 8 7 0 3 14 7 2 4 6 1 6 9 5 9

Maximum Bottleneck Path p q wt ------3 4 14 4 9 6 8 0 7 2 3 44 index 0 1 2 3 4 5 6 7 8 9 parent weight 0 1 3 4 44 14 9 6 5 6 7 0 7 9 8 7 0 3 14 44 7 2 4 6 1 6 9 5 10

Maximum Bottleneck Path p q wt ------3 4 14 4 9 6 8 0 7 2 3 44 5 6 12 index 0 1 2 3 4 5 6 7 8 9 parent weight 0 1 3 4 44 14 9 6 5 6 7 0 7 9 8 7 0 3 14 44 7 2 4 6 1 6 9 5 11

Maximum Bottleneck Path p q wt ------3 4 14 4 9 6 8 0 7 2 3 44 5 6 12 index 0 1 2 3 4 5 6 7 8 9 parent weight 0 1 3 4 44 14 9 6 6 12 6 7 0 7 9 8 7 0 3 14 44 7 2 4 6 6 12 9 5 1 12

Maximum Bottleneck Path p q wt ------3 4 14 4 9 6 8 0 7 2 3 44 5 6 12 2 9 9 index 0 1 2 3 4 5 6 7 8 9 parent weight 0 1 3 4 44 14 9 6 6 12 6 7 0 7 9 8 7 0 3 14 44 7 2 4 6 6 12 9 5 1 13

Maximum Bottleneck Path p q wt ------3 4 14 4 9 6 8 0 7 2 3 44 5 6 12 2 9 9 index 0 1 2 3 4 5 6 7 8 9 parent weight 0 1 3 4 44 14 9 6 6 12 6 7 0 7 9 8 7 0 reverse 2 -3 -4 3 14 44 7 2 4 6 6 delete 12 4 -9 9 5 1 14

Maximum Bottleneck Path p q wt ------3 4 14 4 9 6 8 0 7 2 3 44 5 6 12 2 9 9 index 0 1 2 3 4 5 6 7 8 9 parent weight 0 1 9 9 2 3 6 44 14 12 6 7 0 7 9 8 7 0 3 14 44 7 2 9 4 6 1 12 9 5 15

Maximum Bottleneck Path p q wt ------3 4 14 4 9 6 8 0 7 2 3 44 5 6 12 2 9 9 5 9 11 index 0 1 2 3 4 5 6 7 8 9 parent weight 0 1 9 9 2 3 6 44 14 12 6 7 0 7 9 8 7 0 3 14 44 7 2 9 4 6 1 12 9 5 16

Maximum Bottleneck Path p q wt ------3 4 14 4 9 6 8 0 7 2 3 44 5 6 12 2 9 9 5 9 11 index 0 1 2 3 4 5 6 7 8 9 parent weight 0 1 9 9 2 3 6 44 14 12 6 7 0 7 9 8 7 0 14 4 44 7 reverse 5 -6 2 9 9 3 6 1 12 5 17

Maximum Bottleneck Path p q wt ------3 4 14 4 9 6 8 0 7 2 3 44 5 6 12 2 9 9 5 9 11 index 0 1 2 3 4 5 6 7 8 9 parent weight 0 1 9 9 2 3 9 5 44 14 11 12 7 0 7 9 8 7 0 3 14 44 7 2 9 6 4 1 12 9 11 5 18

Maximum Bottleneck Path p q wt ------3 4 14 4 9 6 8 0 7 2 3 44 5 6 12 2 9 9 5 9 11 7 3 33 index 0 1 2 3 4 5 6 7 8 9 parent weight 0 1 9 9 2 3 9 5 44 14 11 12 7 0 7 9 8 7 0 3 14 44 7 2 9 6 4 1 12 9 11 5 19

Maximum Bottleneck Path p q wt ------3 4 14 4 9 6 8 0 7 2 3 44 5 6 12 2 9 9 5 9 11 7 3 33 index 0 1 2 3 4 5 6 7 8 9 parent weight 0 1 9 9 2 3 9 5 3 44 14 11 12 33 0 7 9 8 7 0 3 14 6 4 1 33 44 7 2 9 11 5 20

Maximum Bottleneck Path p q wt ------3 4 14 4 9 6 8 0 7 2 3 44 5 6 12 2 9 9 5 9 11 7 3 33 4 8 13 index 0 1 2 3 4 5 6 7 8 9 parent weight 0 1 9 9 2 3 9 5 3 44 14 11 12 33 0 7 9 8 7 0 reverse 4 -3 -2 -9 3 14 6 4 1 33 44 7 2 9 11 5 21

Maximum Bottleneck Path p q wt ------3 4 14 4 9 6 8 0 7 2 3 44 5 6 12 2 9 9 5 9 11 7 3 33 4 8 13 index 0 1 2 3 4 5 6 7 8 9 parent weight 0 1 3 4 8 9 5 3 44 14 13 11 12 33 0 7 2 9 8 13 7 0 3 14 6 4 1 33 44 7 2 9 11 5 22

Maximum Bottleneck Path p q wt ------3 4 14 4 9 6 8 0 7 2 3 44 5 6 12 2 9 9 5 9 11 7 3 33 4 8 13 5 6 17 index 0 1 2 3 4 5 6 7 8 9 parent weight 0 1 3 4 8 9 5 3 44 14 13 11 12 33 0 7 2 9 8 13 7 0 3 14 33 44 7 2 9 6 4 delete 6 -5 9 11 1 12 5 23

Maximum Bottleneck Path p q wt ------3 4 14 4 9 6 8 0 7 2 3 44 5 6 12 2 9 9 5 9 11 7 3 33 4 8 13 5 6 17 index 0 1 2 3 4 5 6 7 8 9 parent weight 0 1 3 4 8 9 5 3 44 14 13 11 17 33 0 7 2 9 8 13 7 0 3 14 6 4 1 33 44 7 2 9 17 9 11 5 24

Maximum Bottleneck Path p q wt ------3 4 14 4 9 6 8 0 7 2 3 44 5 6 12 2 9 9 5 9 11 7 3 33 4 8 13 5 6 17 0 2 10 index 0 1 2 3 4 5 6 7 8 9 parent weight 0 1 3 4 8 9 5 3 44 14 13 11 17 33 0 7 2 9 8 13 7 0 3 14 6 4 1 33 44 7 2 9 17 9 11 5 25

Maximum Bottleneck Path p q wt ------3 4 14 4 9 6 8 0 7 2 3 44 5 6 12 2 9 9 5 9 11 7 3 33 4 8 13 5 6 17 0 2 10 index 0 1 2 7 8 9 parent weight 0 1 3 4 8 9 5 3 44 14 13 11 17 33 0 7 2 9 delete 8 -0 4 5 6 reverse 0 -8 -4 -3 -2 8 13 7 0 3 3 14 6 4 1 33 44 7 2 9 17 9 11 5 26

Maximum Bottleneck Path p q wt ------3 4 14 4 9 6 8 0 7 2 3 44 5 6 12 2 9 9 5 9 11 7 3 33 4 8 13 5 6 17 0 2 10 index 0 1 2 3 4 5 6 7 8 9 parent weight 0 1 0 2 3 9 5 3 4 10 44 14 11 17 33 13 2 9 8 13 0 3 14 6 4 1 33 10 44 7 2 9 17 9 11 5 27

Maximum Bottleneck Path p q wt ------3 4 14 4 9 6 8 0 7 2 3 44 5 6 12 2 9 9 5 9 11 7 3 33 4 8 13 5 6 17 0 2 10 6 1 22 index 0 1 2 3 4 5 6 7 8 9 parent weight 0 1 0 2 3 9 5 3 4 10 44 14 11 17 33 13 2 9 8 13 0 3 14 6 4 1 33 10 44 7 2 9 17 9 11 5 reverse 6 -5 -9 -2 -0 28

Maximum Bottleneck Path p q wt ------3 4 14 4 9 6 8 0 7 2 3 44 5 6 12 2 9 9 5 9 11 7 3 33 4 8 13 5 6 17 0 2 10 6 1 22 index 0 1 2 3 4 5 6 7 8 9 parent weight 2 10 1 9 9 2 3 6 1 3 4 5 44 14 17 22 33 13 11 8 13 0 3 14 6 4 22 1 33 10 44 7 2 9 17 9 11 5 29

Maximum Bottleneck Path p q wt ------3 4 14 4 9 6 8 0 7 2 3 44 5 6 12 2 9 9 5 9 11 7 3 33 4 8 13 5 6 17 0 2 10 6 1 22 5 8 4 index 0 1 2 3 4 5 6 7 8 9 parent weight 2 10 1 9 9 2 3 6 1 3 4 5 44 14 17 22 33 13 11 8 13 0 3 14 6 4 22 1 33 10 44 7 2 9 17 9 11 5 30

Maximum Bottleneck Path p q wt ------3 4 14 4 9 6 8 0 7 2 3 44 5 6 12 2 9 9 5 9 11 7 3 33 4 8 13 5 6 17 0 2 10 6 1 22 5 8 4 index 0 1 2 3 4 parent weight 2 10 1 9 9 2 3 6 1 3 4 5 44 14 17 22 33 13 11 8 3 14 6 7 8 9 better path 5 -9 -2 -4 -8 13 0 5 6 4 22 1 33 10 44 7 2 9 17 9 11 5 31