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Table 2 Vulnerability measures

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

Neptun

\(E\)

\(V_{MEAN}\)

\(V_{MAX}\)

Algebraic connectivity

\(G\)

\(0.068608\)

\(0.018927\)

\(0.072646\)

\(0.0018\)

\(G{\prime }\)(removing \(e_{2}\))

\(0.065390\)

\(0.024181\)

\(0.211362\)

\(0.0007\)

\(G{\prime \prime }\)(removing \(e_{1}\))

\(0.064486\)

\(0.024796\)

\(0.194813\)

\(0.0006\)

\(G{\prime \prime \prime }\)(disconnected)

\(0.051924\)

\(0.016642\)

\(0.068246\)

\(0.0000\)

Abbiategrasso

\(E\)

\(V_{MEAN}\)

\(V_{MAX}\)

Algebraic connectivity

\(G\)

\(0.047557\)

\(0.003436\)

\(0.150390\)

\(0.0004\)

\(G^{\prime}\)(removing \(e_{2}\))

\(0.045019\)

\(0.003935\)

\(0.181174\)

\(0.0003\)

\(G^{\prime\prime}\)(removing \(e_{3}\))

\(0.046385\)

\(0.003642\)

\(0.205294\)

\(0.0004\)

\(G^{\prime\prime\prime}\)(removing \(e_{1}\))

\(0.040405\)

\(0.002628\)

\(0.060728\)

\(0.0000\)

\(G^{^{\prime\prime\prime\prime}}\)(disconnected)

\(0.031077\)

\(0.002251\)

\(0.057007\)

\(0.0000\)