Commutativity on Topological Sequence Entropy of Graph Maps
图映射拓扑序列熵的可交换性

In this paper, the commutativity on topological sequence entropy of graph maps is discussed. It is proved that $h_{A}(f\circ g)=h_{A}(g\circ f)$ for every increasing positive integer sequence $A=(a_{i})_{i=1}^{\infty}$ and graph maps $f,g$. This solves the conjecture proposed by Balibrea et al. in 1999.