@article{b23a4f5b22c84e29b16c761715c0ae00,
title = "Topological entropy and periods of graph maps",
abstract = "We give a complete description of the set of periods of continuous self-maps on graphs which have zero topological entropy and have all their branching points fixed. As a corollary, we get a criterion for positive topological entropy for continuous self-maps on graphs. We also prove that the results are optimal.",
keywords = "graph maps, periodic points, periods, topological entropy",
author = "Jaume Llibre and Radu Saghin",
note = "Funding Information: The first author was partially supported by MCI/FEDER grant number MTM 2008-03437, by CICYT grant number 2009SGR410 and by ICREA Academia. The second author was supported by Marie Curie IEF grant number 234559, and would like to thank CRM Barcelona for their hospitality. We would also like to thank the referees for their useful comments and suggestions.",
year = "2012",
month = apr,
doi = "10.1080/10236198.2011.561202",
language = "English",
volume = "18",
pages = "589--598",
journal = "Journal of Difference Equations and Applications",
issn = "1023-6198",
publisher = "Taylor and Francis Ltd.",
number = "4",
}