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arxiv 2405.03310 v2 pith:SWMJGGME submitted 2024-05-06 math.CO

Locally semicomplete weakly distance-regular digraphs

classification math.CO
keywords semicompletelocallydigraphdigraphsdistance-regularweaklyassumptioncharacterize
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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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