Bounds on the local bases of primitive, non-powerful, minimally strong signed digraphs

In this paper, we study the local bases of primitive, non-powerful, minimally strong signed digraphs of order n⩾7. We obtain the first two or three largest kth local bases, depending on whether n is odd or even, together with complete characterization of the equality cases, for primitive, non-powerful, minimally strong signed digraphs.