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 | - | - | - | - | - | - | - | - | |