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Weakly distance-regular digraphs of valency three, I

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arxiv 1502.02825 v1 pith:OKNA6OEL submitted 2015-02-10 math.CO

Weakly distance-regular digraphs of valency three, I

classification math.CO
keywords digraphsdistance-regularweaklyclassifiedclassifygirthprojectvalency
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Suzuki (2004) [7] classified thin weakly distance-regular digraphs and pro- posed the project to classify weakly distance-regular digraphs of valency 3. The case of girth 2 was classified by the third author (2004) [9] 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.

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