College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi 530004, China
Academic Editor: M. De la Sen
Copyright © 2011 Taixiang Sun et al. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Let a graph and
be a continuous map. Denote by
, , and the topological entropy, the set of recurrent points, and the set of special
-limit points of
, respectively. In this paper, we show that if and only if .