彩色图混沌的泛型

Q3 Mathematics

Topological Algebra and its Applications Pub Date : 2019-09-04 DOI:10.1515/taa-2020-0105

Ram'on Barral Lij'o, Hiraku Nozawa

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引用次数: 2

摘要

每个彩色图都可以在点彩色图同构类的泛空间中关联它的闭包，这个子空间可以看作是一个广义子移。基于这种对应关系，我们引入了混沌(彩色)图的两个定义，其中一个类似于Devaney的定义。我们证明了混沌的两个新定义的等价性，证明了它们在泛空间的各种子集上的拓扑泛型。

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Genericity of chaos for colored graphs

Abstract To each colored graph one can associate its closure in the universal space of isomorphism classes of pointed colored graphs, and this subspace can be regarded as a generalized subshift. Based on this correspondence, we introduce two definitions for chaotic (colored) graphs, one of them analogous to Devaney’s. We show the equivalence of our two novel definitions of chaos, proving their topological genericity in various subsets of the universal space.

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来源期刊

Topological Algebra and its Applications Mathematics-Algebra and Number Theory

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

24 weeks