English

Weakly distance-regular digraphs whose underlying graphs are distance-regular,II

Combinatorics 2024-08-07 v1

Abstract

Weakly distance-regular digraphs are a natural directed version of distance-regular graphs. In [16], we classified all commutative weakly distance-regular digraphs whose underlying graphs are Hamming graphs, folded n-cubes, or Doob graphs. In this paper, we classify all commutative weakly distance-regular digraphs whose underlying graphs are Johnson graphs or folded Johnson graphs.

Keywords

Cite

@article{arxiv.2408.02931,
  title  = {Weakly distance-regular digraphs whose underlying graphs are distance-regular,II},
  author = {Qing Zeng and Yuefeng Yang and Kaishun Wang},
  journal= {arXiv preprint arXiv:2408.02931},
  year   = {2024}
}
R2 v1 2026-06-28T18:04:59.231Z