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Table 5 Hydraulic performance indices after the dividing phase for the three tested algorithms and the five adopted pipe weights

From: Weighted spectral clustering for water distribution network partitioning

Laplacian Matrix

Weight

Nec

Nbv

Nfm

PD

PN

hmin

hmean

hmax

[-]

[-]

[-]

[kW]

[kW]

[m]

[m]

[m]

L

WA

16

11

5

1831.64

10290.47

22.78

30.46

50.07

WD

17

12

5

1875.29

10246.82

22.09

29.82

50.16

W1/L

20

15

5

1890.23

10231.88

22.23

29.93

49.87

WC

26

21

5

1954.84

10167.27

14.04

28.68

50.03

WF

15

10

5

1716.15

10405.96

21.58

30.99

50.41

Lrw

WA

16

11

5

1831.64

10290.47

22.78

30.46

50.07

WD

17

12

5

1875.29

10246.82

22.09

29.82

50.16

W1/L

19

14

5

1863.96

10258.15

22.49

30.24

49.98

WC

21

16

5

1895.35

10226.76

20.81

29.13

50.61

WF

24

19

5

1720.86

10401.25

20.79

30.81

50.50

Lsym

WA

16

11

5

1831.64

10290.47

22.78

30.46

50.07

WD

17

12

5

1875.29

10246.82

22.09

29.82

50.16

W1/L

19

14

5

1877.49

10244.62

22.36

30.09

50.11

WC

-

-

-

-

-

-

-

-

WF

-

-

-

-

-

-

-

-