A Survey on the Set of Periods of the Graph Homeomorphisms

Márcio R.A. Gouveia; Jaume Llibre

doi:https://doi.org/10.1007/s12346-015-0132-5

A Survey on the Set of Periods of the Graph Homeomorphisms

Márcio R.A. Gouveia, Jaume Llibre

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

1 Citation (Scopus)

Abstract

© 2015, Springer Basel. In this paper we summarize the known results on the possible sets of periods of homeomorphisms defined on some classes of finite connected compact graphs, and we present new results.

Original language	English
Pages (from-to)	39-50
Journal	Qualitative Theory of Dynamical Systems
Volume	14
Issue number	1
DOIs	https://doi.org/10.1007/s12346-015-0132-5
Publication status	Published - 1 Apr 2015

Keywords

Homeomorphisms
Periodic points
Periods
Topological graph

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https://ddd.uab.cat/record/145348

Cite this

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title = "A Survey on the Set of Periods of the Graph Homeomorphisms",

abstract = "{\textcopyright} 2015, Springer Basel. In this paper we summarize the known results on the possible sets of periods of homeomorphisms defined on some classes of finite connected compact graphs, and we present new results.",

keywords = "Homeomorphisms, Periodic points, Periods, Topological graph",

author = "Gouveia, {M{\'a}rcio R.A.} and Jaume Llibre",

year = "2015",

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AU - Llibre, Jaume

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N2 - © 2015, Springer Basel. In this paper we summarize the known results on the possible sets of periods of homeomorphisms defined on some classes of finite connected compact graphs, and we present new results.

AB - © 2015, Springer Basel. In this paper we summarize the known results on the possible sets of periods of homeomorphisms defined on some classes of finite connected compact graphs, and we present new results.

KW - Homeomorphisms

KW - Periodic points

KW - Periods

KW - Topological graph

U2 - https://doi.org/10.1007/s12346-015-0132-5

DO - https://doi.org/10.1007/s12346-015-0132-5

M3 - Article

VL - 14

SP - 39

EP - 50

JO - Qualitative Theory of Dynamical Systems

JF - Qualitative Theory of Dynamical Systems

SN - 1575-5460

IS - 1

ER -

A Survey on the Set of Periods of the Graph Homeomorphisms

Abstract

Keywords

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