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A Survey on the Set of Periods of the Graph Homeomorphisms

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Abstract

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.

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Acknowledgments

The first author is partially supported by CAPES/DGU Grant number BEX 12566/12-8 and by a FAPESP Grant 2013/13344-0. The second author is partially supported by a MINECO/FEDER Grant MTM2008-03437 and MTM2013-40998-P, an AGAUR Grant number 2014SGR568, an ICREA Academia, the Grants FP7-PEOPLE-2012-IRSES 318999 and 316338, FEDER-UNAB-10-4E-378, and a CAPES Grant number 88881.030454/2013-01 from the program CSF-PVE. The first author would like to thanks for the hospitality at the Departament de Matemàtiques of Universitat Autònoma de Barcelona where this work was done.

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Authors and Affiliations

  1. Departamento de Matemática, IBILCE-UNESP, Rua Cristóvão. Colombo, 2265, São José do Rio Preto, São Paulo, CEP 15054-000, Brazil

    Márcio R. A. Gouveia

  2. Departament de Matemàtiques, Universitat Autònoma de Barcelona, Bellaterra, 08193, Barcelona, Catalonia, Spain

    Jaume Llibre

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  1. Márcio R. A. Gouveia
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  2. Jaume Llibre
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Correspondence to Márcio R. A. Gouveia.

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Gouveia, M.R.A., Llibre, J. A Survey on the Set of Periods of the Graph Homeomorphisms. Qual. Theory Dyn. Syst. 14, 39–50 (2015). https://doi.org/10.1007/s12346-015-0132-5

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

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