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
Publication statusPublished - 1 Dec 2019


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


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