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Weakly distance-regular digraphs of one type of arcs

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arxiv 2108.00613 v1 pith:CEUPVWSV submitted 2021-08-02 math.CO

Weakly distance-regular digraphs of one type of arcs

classification math.CO
keywords arcsdigraphsdistance-regulartypeweaklyassumptioncaseclassify
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this paper, we classify all commutative weakly distance-regular digraphs of girth $g$ and one type of arcs under the assumption that $p_{(1,g-1),(1,g-1)}^{(2,g-2)}\geq k_{1,g-1}-2$. In consequence, we recover [13, Theorem 1.1] as a special case of our result.

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