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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 - - - - - - - -