Topological entropy of continuous self-maps on a graph

Juan Luis García Guirao, Jaume Llibre, Wei Gao

Research output: Contribution to journalArticleResearch

1 Citation (Scopus)


© 2019, SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional. Let G be a graph and f be a continuous self-map on G. Using the Lefschetz zeta function of f, we provide a sufficient condition in order that f has positive topological entropy. Moreover, for some classes of graphs we improve this condition making it easier to check.
Original languageEnglish
Article number154
JournalComputational and Applied Mathematics
Issue number4
Publication statusPublished - 1 Oct 2019


  • Discrete dynamical systems
  • Lefschetz numbers
  • Lefschetz zeta function
  • Period
  • Periodic point
  • Topological entropy
  • Topological graph


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