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.

引用

页数：19

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