Weakly distance-regular digraphs of one type of arcs

Weakly distance-regular digraphs of one type of arcs

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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Veröffentlicht in:arXiv.org 2021-08
Hauptverfasser: Fan, Yushuang, Wang, Zhiqi, Yang, Yuefeng
Format: Artikel
Sprache:eng
Schlagworte:
Graph theory
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Zusammenfassung: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.
ISSN:2331-8422