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Table 4 Characteristics of the edge-cut set obtained with the three tested algorithms and the five assumed pipe weights

From: Weighted spectral clustering for water distribution network partitioning

Laplacian Matrix Weight Nec Multiplicity of pipe diameters D [mm]
60 80 100 110 125 150 200
L WA 16 5 1 4 1 1 2 2
WD 17 6 1 4 1 1 2 2
W1/L 20 5 1 3 0 1 3 7
WC 26 20 0 2 1 1 1 1
WF 15 4 2 4 0 1 1 3
Lrw WA 16 5 1 4 1 1 2 2
WD 17 6 1 4 1 1 2 2
W1/L 19 7 1 3 1 1 2 4
WC 21 10 3 3 1 1 3 0
WF 24 10 1 4 1 1 2 6
Lsym WA 16 5 1 4 1 1 2 2
WD 17 6 1 4 1 1 2 2
W1/L 19 6 1 4 1 1 2 4
WC - - - - - - - -
WF - - - - - - - -