Weakly distance-regular digraphs of valency three, II
  In this paper, we classify commutative weakly distance-regular digraphs of valency 3 with girth more than 2 and one type of arcs. Combining [8, Theorem 1.2], [10, Theorem 1.3] and [11, Theorem 1], commutative weakly distanceregular digraphs of valency 3 are completely determined. 
Yuefeng Yang, Benjian Lv, Kaishun Wang
math.CO