Note on omega-limit set of a graph map
Let G be a graph and f : G -> G be continuous. Denote by   and omega(f) the closure of the set of recurrent points and omega-limit set of f respectively. In this paper, we show that: (1) If x is an element of omega(f) -  , then omega(x, f) is an infinite minimal set. (2) If f is piecewise monotone, then omega(f) =  .
omega-limit set graph map recurrent point