Minimal controllability of conjunctive Boolean networks is NP-complete
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作者:
Weiss, Eyal
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Tel Aviv Univ, Dept EE Syst, IL-69978 Tel Aviv, IsraelTel Aviv Univ, Dept EE Syst, IL-69978 Tel Aviv, Israel
Weiss, Eyal
[1
]
Margaliot, Michael
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Tel Aviv Univ, Dept EE Syst, IL-69978 Tel Aviv, Israel
Tel Aviv Univ, Sagol Sch Neurosci, IL-69978 Tel Aviv, IsraelTel Aviv Univ, Dept EE Syst, IL-69978 Tel Aviv, Israel
Margaliot, Michael
[1
,2
]
Even, Guy
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Tel Aviv Univ, Dept EE Syst, IL-69978 Tel Aviv, IsraelTel Aviv Univ, Dept EE Syst, IL-69978 Tel Aviv, Israel
Even, Guy
[1
]
机构:
[1] Tel Aviv Univ, Dept EE Syst, IL-69978 Tel Aviv, Israel
[2] Tel Aviv Univ, Sagol Sch Neurosci, IL-69978 Tel Aviv, Israel
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. (C) 2018 Elsevier Ltd. All rights reserved.