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Table 3 Probabilistic distances versus loss of efficiency

From: Probabilistic measures of edge criticality in graphs: a study in water distribution networks

Neptun

Jensen–Shannon

Wasserstein

Loss of efficiency

\(G\), \(G{\prime }\)

\(0.1677\)

\(3.3183\)

\(0.0469\)

\(G\), \(G{\prime \prime }\)

\(0.2456\)

\(5.4704\)

\(0.0601\)

\(G\), \(G{\prime \prime \prime }\)

\(0.3286\)

\(6.5542\)

\(0.2432\)

Abbiategrasso

Jensen–Shannon

Wasserstein

Loss of efficiency

\(G\), \(G{\prime }\)

\(0.0935\)

\(3.1040\)

\(0.0534\)

\(G\), \(G{\prime \prime }\)

\(0.0528\)

\(1.5170\)

\(0.0246\)

\(G\), \(G{\prime \prime \prime }\)

\(0.1843\)

\(5.4871\)

\(0.1504\)

\(G\), \(G{\prime \prime \prime \prime }\)

\(0.3633\)

\(8.8845\)

\(0.3465\)