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Topological entropy of continuous self-maps on a graph
Journal article   Peer reviewed

Topological entropy of continuous self-maps on a graph

Juan Luis Garcia Guirao, Jaume Llibre and Wei Gao
Computational & applied mathematics, Vol.38(4), pp.1-10
01/12/2019
DOI: https://doi.org/10.1007/s40314-019-0969-3

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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.

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