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Table 3 Comparison of percentage error \(\Delta {R_{G}}\) between effective graph resistances in the augmented network for \(S_{1}\), \(S_{2}\), \(S_3\), \(S_{4}\) heuristics, RobGA and RobGA{\(L^{+}\)} over real-world networks. For RobGA{\(L^{+}\)}, the minimum and the average \(\Delta {R_{G+\{e\}}}\) values are reported

From: Comparative evaluation of strategies for improving the robustness of complex networks

ID

\(\Delta R_{G+\{e\}}^{S_{1}}\)

\(\Delta R_{G+\{e\}}^{S_{2}}\)

\(\Delta R_{G+\{e\}}^{S_3}\)

\(\Delta R_{G+\{e\}}^{S_{4}}\)

\(\Delta R_{G+\{e\}}^{RobGA}\)

\(\Delta R_{G+\{e\}}^{RobGA}\{L^{+}\}\)

BS

8.918

4.493

0.76

0

0

{0, 0.401}

AA

7.472

6.97

1.914

2.565

0

{0, 1.152}

ITC

15.062

10.591

1.235

1.231

0.184

{0, 0.985}

ION

9.484

7.669

1.749

3.834

0

{0.255, 0.292}

USC

19.869

15.765

5.692

10.453

0.159

{0.396, 0.7}

3980

8.938

3.018

0.386

0

0

{0, 0.77}

686

7.26

0.847

0.435

0.826

0

{0.021, 0.282}

3437

2.186

1.567

0.635

0.522

0.077

{0, 0.419}