%0 Journal Article %J Linear Algebra and its Applications %D 2015 %T Laplacian matrices and Alexandrov topologies of digraphs %A Aaron Ostrander %K Laplacian matrix %X 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. %B Linear Algebra and its Applications %V 481 %P 174 - 185 %8 2015/09/15 %G eng %U http://www.sciencedirect.com/science/article/pii/S0024379515002840 %R http://dx.doi.org/10.1016/j.laa.2015.04.031