https://ogma.newcastle.edu.au/vital/access/ /manager/Index ${session.getAttribute("locale")} 5 https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:30377 α . We prove that all the eigenvalues of ⌈ (including multiplicities) are, in addition, eigenvalues of ⌈^α. This study is carried out by introducing several reduced matrix representations of ⌈^α. As an example of our techniques, we study some basic properties of the Alegre digraph and its base.]]> Wed 11 Apr 2018 14:19:34 AEST ]]> https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:30378 Wed 11 Apr 2018 12:26:06 AEST ]]> https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:36785 α of a voltage digraph, which has arcs weighted by the elements of a group. As a main result, when the involved group is Abelian, we completely determine the spectrum of Γ^α. As some examples of our technique, we study some basic properties of the Alegre digraph, and completely characterize the spectrum of a new family of digraphs, which contains the generalized Petersen graphs, and the Hoffman-Singleton graph.]]> Mon 06 Jul 2020 09:53:43 AEST ]]>