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arXiv · 2501.10921

Semicomplete multipartite weakly distance-regular digraphs

Shuang Li·Yuefeng Yang·Kaishun Wang
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Abstract

A digraph is semicomplete multipartite if its underlying graph is a complete multipartite graph. As a special case of semicomplete multipartite digraphs, Jørgensen et al. \cite{JG14} initiated the study of doubly regular team tournaments. As a natural extension, we introduce doubly regular team semicomplete multipartite digraphs and show that such digraphs fall into three types. Furthermore, we give a characterization of all semicomplete multipartite commutative weakly distance-regular digraphs.

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Shuang Li, Yuefeng Yang, Kaishun Wang. 2025-01-19. Semicomplete multipartite weakly distance-regular digraphs. https://arxiv.org/abs/2501.10921

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