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arXiv · 2202.02939

Distance-regular Cayley graphs over dicyclic groups

Xueyi Huang·Kinkar Chandra Das·Lu Lu
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Abstract

The characterization of distance-regular Cayley graphs originated from the problem of identifying strongly regular Cayley graphs, or equivalently, regular partial difference sets. In this paper, a classification of distance-regular Cayley graphs on dicyclic groups is obtained. More specifically, it is shown that every distance-regular Cayley graph on a dicyclic group is a complete graph, a complete multipartite graph, or a non-antipodal bipartite distance-regular graph with diameter $3$ satisfying some additional conditions.

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Xueyi Huang, Kinkar Chandra Das, Lu Lu. 2022-03-24. Distance-regular Cayley graphs over dicyclic groups. https://arxiv.org/abs/2202.02939

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