Environmental Engineering Reference
In-Depth Information
The other extreme to the fully looped layout L4 is to have a node with ten connections, six
nodes with two connections and four nodes with one connection; this layout (L5) is shown in
Figure 6.3, on the left. Reconnecting P8 of this layout to N9, instead of N8, creates layout L6
and making the connection between N7 and N10 with P8, instead of N8 and N11, creates
layout L7. The connectivity of layouts L5 to L7 using the NCF values is summarised in
Tables 6.4 and 6.5, respectively. Based on the applied approach, the results will differ but
show the same trend in all three cases.
Figure 6.3 Network layouts L5-L7 of 13 links and 11 nodes
Table 6.4 Connectivity of network layouts L5 to L7
No. conn.
1
2
3
10
2m
n
L5
4
6
0
1
26
11
L6
5
4
1
1
26
11
L7
6
2
2
1
26
11
Table 6.5a NCF 1 values, based on two largest numbers of nodes
No. conn.
1
2
3
4
NCF
L5
0.36
1.09
0.00
0.91
1.45
L6
0.45
0.73
0.27
0.91
1.18
L7
0.55
0.36
0.55
0.91
1.09
Table 6.5b NCF 2 values, based on two largest values of in
No. conn.
1
2
3
4
NCF
L5
0.36
1.09
0.00
0.91
2.00
L6
0.45
0.73
0.27
0.91
1.64
L7
0.55
0.36
0.55
0.91
1.46
Table 6.5c NCF 3 values, based on average nodal connectivity
No. conn.
1
2
3
4
NCF
L5
0.36
1.09
0.00
0.91
1.09
L6
0.45
0.73
0.27
0.91
1.00
L7
0.55
0.36
0.55
0.91
0.91
The NCF values in Tables 6.5a-c indicate the layout L7 with three adjacent loops to be the
least connected, which is a fair assumption in view of the fact that (a) this layout has the
largest number of nodes with single connection (6), and (b) the node N2 connecting all three
loops of L5, enables combination of these loops into complex loops i.e. the connectivity of
 
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