Minimal Controllability of Conjunctive Boolean Networks is NP-Complete

Eyal Weiss; Michael Margaliot; Guy Even

doi:10.1016/j.automatica.2018.02.014

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arXiv · 1704.07291

Minimal Controllability of Conjunctive Boolean Networks is NP-Complete

Eyal Weiss·Michael Margaliot·Guy Even

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Abstract

Given a conjunctive Boolean network (CBN) with $n$ state-variables, we consider the problem of finding a minimal set of state-variables to directly affect with an input so that the resulting conjunctive Boolean control network (CBCN) is controllable. We give a necessary and sufficient condition for controllability of a CBCN; an $O(n^2)$-time algorithm for testing controllability; and prove that nonetheless the minimal controllability problem for CBNs is NP-hard.

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BibTeX RIS

Eyal Weiss, Michael Margaliot, Guy Even. 2017-04-21. Minimal Controllability of Conjunctive Boolean Networks is NP-Complete. https://doi.org/10.1016/j.automatica.2018.02.014

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