Environmental Engineering Reference
In-Depth Information
The results of calculation using NDT are shown in Table 6.8 and those from NodeXL in
Table 6.9.
Table 6.8
Connectivity indices calculated by NDT - case 16 nets
Epanet
n m l Ln NGI NCF1 NCF2 NCF3 NCF
avg
NCI1 NCI2 NCI3 NSI1 NSI2 NSI3
Net01 4 3 0 0 0.00 1.50 1.50 0.75
1.50 1.00 1.00 0.50 0.00 0.00 0.00
Net02 4 3 0 0 0.00 1.50 1.50 1.50
1.50 1.00 1.00 1.00 0.00 0.00 0.00
Net03 4 3 0 0 0.00 1.50 1.50 1.50
1.50 1.00 1.00 1.00 0.00 0.00 0.00
Net04 9 8 0 0 0.00 1.78 1.78 1.78
1.78 1.00 1.00 1.00 0.00 0.00 0.00
Net05 4 4 1
1 0.00 2.00 2.00 2.00
2.00 1.00 1.00 1.00 0.00 0.00 0.00
Net06 4 5 2 3 0.33 2.50 2.50 2.50
2.50 1.00 1.00 1.00 0.33 0.33 0.33
Net07 4 5 2 3 0.33 2.50 2.50 2.50
2.50 1.00 1.00 1.00 0.33 0.33 0.33
Net08 4 6 3 7 0.57 3.00 3.00 3.00
3.00 1.00 1.00 1.00 0.57 0.57 0.57
Net09 5 8 4 13 0.69 3.20 3.20 3.20
3.20 1.00 1.00 1.00 0.69 0.69 0.69
Net10 6 7 2 3 0.33 2.33 2.33 2.33
2.33 1.00 1.00 1.00 0.33 0.33 0.33
Net11 6 7 2 3 0.33 2.33 2.33 2.33
2.33 1.00 1.00 1.00 0.33 0.33 0.33
Net12 8 10 3 7 0.57 2.50 2.50 2.50
2.50 1.00 1.00 1.00 0.57 0.57 0.57
Net13 9 12 4 13 0.69 2.22 2.22 2.22
2.67 0.83 0.83 0.83 0.58 0.58 0.58
Net14 7 12 6 31 0.81 3.43 3.43 2.57
3.43 1.00 1.00 0.75 0.81 0.81 0.60
Net15 7 12 6 31 0.81 3.43 3.43 2.57
3.43 1.00 1.00 0.75 0.81 0.81 0.60
Net16 9 16 8 57 0.86 3.56 3.56 2.67
3.56 1.00 1.00 0.75 0.86 0.86 0.64
Table 6.9
Connectivity indices calculated by NodeXL - case 16 nets
Epanet
n
m
AGD GD Deg
min
Deg
max
Deg
avg
BC
avg
Cc
avg
Cp
avg
Net02 4 3
1.25
0.5
1
2
1.5
1 0.21
0
Net03 4 3
1.25
0.5
1
2
1.5
1 0.21
0
Net01 4 3
1.13
0.5
1
3
1.5 0.75 0.23
0
Net05 4 4
1 0.67
2
2
2
0.5 0.25
0
Net06 4 5
0.88 0.83
2
3
2.5 0.25 0.29 0.83
Net07 4 5
0.88 0.83
2
3
2.5 0.25 0.29 0.83
Net08 4 6
0.75
1
3
3
3
0 0.33
1
Net09 5 8
0.96
0.8
3
4
3.2
0.4 0.21 0.67
Net10 6 7
1.39 0.47
2
3
2.33 1.67 0.12
0
Net11 6 7
1.39 0.47
2
3
2.33 1.67 0.12
0
Net14 7 12
1.22 0.57
3
6
3.43 1.29 0.12 0.63
Net15 7 12
1.22 0.57
3
6
3.43 1.29 0.12 0.63
Net12 8 10
1.5 0.36
2
3
2.5
2.5 0.08
0
Net04 9 8
2.96 0.22
1
2
1.78 9.33 0.04
0
Net13 9 12
1.78 0.33
2
4
2.67
4 0.06
0
Net16 9 16
1.38 0.44
3
8
3.56 2.22 0.08 0.62
The first conclusion analysing the results is that in neither of the two tables the indices follow
the trend corresponding to the order of the networks i.e. their growth of complexity
anticipated after observing Figure 6.9. Those are actually related to the clusters of networks
with fixed number of nodes following the trend of increase in number of links. For this
reason are the results in Table 6.9 sorted per number of nodes and then links, while in Table
6.8, the clusters of networks of 4 and 9 nodes are shown in different shades. Looking at the
results from this perspective, the increased node connectivity within a cluster of networks
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