Abstract We explore the spectral properties of digraph Laplacians and how they relate to topological properties of digraphs (such as openness, closure, and strong connectedness) under the Alexandrov topology. Publication Details Author Aaron Ostrander Publication Type Journal Article Year of Publication 2015 Volume 481 Number of Pages 174 – 185 ISSN Number 0024-3795 DOI 10.1016/j.laa.2015.04.031 URL http://www.sciencedirect.com/science/article/pii/S0024379515002840 Journal Linear Algebra and its Applications DOIGoogle Scholar Contributors Groups QuICS Date Published 09/2015