TY - JOUR 
A1 - García Guirao, Juan Luis
AU - Llibre Saló, Jaume
AU - Gao, Wei
T1 - Topological entropy of continuous self–maps on a graph
Y1 - 2019
SN - 0101-8205
UR - http://hdl.handle.net/10317/8502
AB - 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.
KW - Matemática Aplicada
KW - Topological graph
KW - Discrete dynamical systems
KW - Lefschetz numbers
KW - Lefschetz zeta function
KW - Periodic point
KW - Period
KW - Topological entropy
KW - 12 Matemáticas
LA - eng
PB - Springer Science and Business Media
ER -