Minimizing the effective graph resistance by adding links is NP-hard
Robert E. Kooij (TNO, TU Delft - Quantum & Computer Engineering)
Massimo A. Achterberg (TU Delft - Network Architectures and Services)
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Abstract
The effective graph resistance, also known as the Kirchhoff index, is metric that is used to quantify the robustness of a network. We show that the optimisation problem of minimizing the effective graph resistance of a graph by adding a fixed number of links, is NP-hard.
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