On the complexity of generalized Q2R automaton

被引：3
|
作者：
Goles, Eric [1 ]
Montalva-Medel, Marco [1 ]
Montealegre, Pedro [1 ]
Rios-Wilson, Martin [1 ,2 ,3 ]
机构：
[1] Univ Adolfo Ibanez, Fac Ingn & Ciencias, Santiago, Chile
[2] Univ Chile, Dept Ingn Matemat, FCFM, Santiago, Chile
[3] Univ Toulon & Var, Aix Marseille Univ, LIS, CNRS, Marseille, France
来源：
ADVANCES IN APPLIED MATHEMATICS | 2022年 / 138卷
关键词：
Q2R networks; Computational complexity; Limit cycles; P-complete;
D O I：
10.1016/j.aam.2022.102355
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the dynamic and complexity of the generalized Q2R automaton. We show the existence of non-polynomial cycles as well as its capability to simulate with the synchronous update the classical version of the automaton updated under a block sequential update scheme. Furthermore, we show that the decision problem consisting in determine if a given node in the network changes its state is P-Hard. (C) 2022 Elsevier Inc. All rights reserved.
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页数：19
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