Artificial K-Lines and Applications - Advances in Computational Science and Engineering - page 90

K-line KL2
Event in Node Node ID

Box placed on moving belt 21

(Worker) pick up box 22

(worker) unfold box 23

Box passed through opening 24

Box appears at other side of
opening

25

Fig. 6. Assembly line K-line

Note, in Figures 5 and 6, some nodes are essentially the same, as shown in Table 1.

Table 1. Node equivalences between 2 K-lines

Node of KL1 Node of KL2

12 22

15 24

16 25

Each row of Table 1 shows two nodes, one from K-line KL1 and one from K-line
KL2. Each row of Table 1 contains nodes that are the same, or essentially equivalent,
according to the K-lines of Figures 5 and 6. Based on this observation, the two separate
K-lines are said to intersect , and they can be merged into a graph, as shown in Figure 7.

11

KL1

23

12

13

14

15

KL2

21

16

Fig. 7. Intersecting K-lines

Note, in Figure 7, the edge connecting nodes 15 and 16 belongs to both K-lines.
We argue that the knowledge conveyed by Figure 7 is superior to the knowledge con-
veyed individually by Figures 5 and 6. Next, we explain why this is the case.