Abstract: Given integers ▫$k$▫ and ▫$m$▫, we construct a ▫$G$▫-arc-transitive graph of valency ▫$k$▫ and an ▫$L$▫-arc-transitive oriented digraph of out-valency ▫$k$▫ such that ▫$G$▫ and ▫$L$▫ both admit blocks of imprimitivity of size ▫$m$▫.Keywords: arc-transitive digraphs, Cayley digraphs, imprimitive digraphsPublished in RUP: 28.06.2019; Views: 1657; Downloads: 126 Link to full text
