%0 Journal Article 
%A García Guirao, Juan Luis
%A Llibre Saló, Jaume
%A Gao, Wei
%T Topological entropy of continuous self–maps on a graph
%D 2019
%@ 0101-8205
%U http://hdl.handle.net/10317/8502
%X Let G be a graph and f be a continuous self–map on G. We provide sufficient conditions based on the Lefschetz zeta function in order that f has positive topological entropy. Moreover, for the particular graphs: p–flower graph, n-lips graph and (p+r1L1+:::+rsLs)–graph we are able to go further and state more precise conditions for having positive topological entropy.
%K Matemática Aplicada
%K Topological graph
%K Discrete dynamical systems
%K Lefschetz numbers
%K Lefschetz zeta function
%K Periodic point
%K Period
%K Topological entropy
%K 12 Matemáticas
%~ GOEDOC, SUB GOETTINGEN