Commutative Weakly Distance-Regular Digraphs of Circle with Fixed Length

Zengti Li1, Suogang Gao2, Haixia Guo3
1Math. and Inf. College, Langfang Normal College, Langfang, 065000, China.
2Math. and Inf. College, Hebei Normal University, Shijiazhuang, 050016, China
3Dept. of Math. Phys., Tianjin Technology Education University, 300222, China

Abstract

We obtain some new examples of weakly distance-regular digraphs. Moreover, a class of commutative weakly distance-regular
digraphs of valency \(4\) and girth \(2\) is characterized.