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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) \(0.031077\) \(0.002251\) \(0.057007\) \(0.0000\)