Minimizing the effective graph resistance by adding links is NP-hard
Physics and Society
2024-04-29 v1
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.
Keywords
Cite
@article{arxiv.2302.12628,
title = {Minimizing the effective graph resistance by adding links is NP-hard},
author = {Robert E. Kooij and Massimo A. Achterberg},
journal= {arXiv preprint arXiv:2302.12628},
year = {2024}
}