Let G be a graph and f ： G → G be a continuous map. Denote by P（f）, R（f）, SA（f） and UF（f） the sets of periodic points, recurrent points, special α-limit points and unilateral γ-limit points of f, respectively. In this paper, we show that R（f） SA（f） = UP（f） ∪ P（f） R（f）.
