The spectra of subKautz and cyclic Kautz digraphs

In this paper we propose a new method to obtain the complete spectra of subKautz sK(d,2) and cyclic Kautz CK(d,3) digraphs, for all d≥3, through the Hoffman-McAndrew polynomial and regular partitions. This approach can be useful to find the spectra of other families of digraphs with high regularity.