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. © 2012 Copyright Taylor and Francis Group, LLC.
Original language | English |
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Pages (from-to) | 589-598 |
Journal | Journal of Difference Equations and Applications |
Volume | 18 |
Issue number | 4 |
DOIs | |
Publication status | Published - 1 Apr 2012 |
Keywords
- graph maps
- periodic points
- periods
- topological entropy