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arXiv · 2302.12628

Minimizing the effective graph resistance by adding links is NP-hard

Robert E. Kooij·Massimo A. Achterberg
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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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Robert E. Kooij, Massimo A. Achterberg. 2023-02-24. Minimizing the effective graph resistance by adding links is NP-hard. https://doi.org/10.1016/j.orl.2023.10.002

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