Weakly Distance-Regular Digraphs of Valency Three, I

Yuefeng Yang, Benjian Lv, Kaishun Wang


Suzuki (2004)  classified thin weakly distance-regular digraphs and proposed the project to classify weakly distance-regular digraphs of valency 3. The case of girth 2 was classified by the third author (2004) under the assumption of the commutativity. In this paper, we continue this project and classify these digraphs with girth more than 2 and two types of arcs.


Weakly distance-regular digraph; Cayley digraph

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