Automorphism groups of CD(k,q)

Determine the automorphism group of the graph CD(k,q).

Background

The paper presents a conjectural formula for the order of the automorphism group of CD(k,q), based on computational evidence and the expected stabilizer of a 3-path. It separately identifies determination of the full automorphism group as an open problem.

References

Problem 7. Determine the automorphism group of the graph CD(k, q).

— Some families of graphs, hypergraphs and digraphs defined by systems of equations  (2503.07915 - Lazebnik et al., 10 Mar 2025) in Problem 7, Section 6.2