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

Fuente: arXiv
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Main Authors: Kooij, Robert E., Achterberg, Massimo A.
Format: Preprint
Published: 2023
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author Kooij, Robert E.
Achterberg, Massimo A.
author_facet Kooij, Robert E.
Achterberg, Massimo A.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2302_12628
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Minimizing the effective graph resistance by adding links is NP-hard
Kooij, Robert E.
Achterberg, Massimo A.
Physics and Society
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.
title Minimizing the effective graph resistance by adding links is NP-hard
topic Physics and Society
url https://arxiv.org/abs/2302.12628