Locally semicomplete weakly distance-regular digraphs

Published 6 May 2024 in math.CO | (2405.03310v2)

Abstract: A digraph is semicomplete if any two vertices are connected by at least one arc and is locally semicomplete if the out-neighbourhood (resp. in-neighbourhood) of any vertex induces a semicomplete digraph. In this paper, we characterize all locally semicomplete weakly distance-regular digraphs under the assumption of commutativity.

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