Genericity of chaos for colored graphs-Reference-Cited by-同舟云学术

Genericity of chaos for colored graphs

Published:2021-01-01 Issue:1 Volume:9 Page:37-52
ISSN:2299-3231
Container-title:Topological Algebra and its Applications
language:en
Short-container-title:

Author:

Lijó Ramón Barral¹,Nozawa Hiraku²

Affiliation:

1. Research Organization of Science and Technology , Ritsumeikan University , Nojihigashi 1-1-1, Kusatsu, Shiga, 525-8577 , Japan

2. Department of Mathematical Sciences, Colleges of Science and Engineering , Ritsumeikan University , Nojihigashi 1-1-1, Kusatsu, Shiga, 525-8577 , Japan

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Geometry and Topology,Algebra and Number Theory

Link

https://www.degruyter.com/document/doi/10.1515/taa-2020-0105/pdf

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