@article {1790, title = {Laplacian matrices and Alexandrov topologies of digraphs}, journal = {Linear Algebra and its Applications}, volume = {481}, year = {2015}, month = {2015/09/15}, pages = {174 - 185}, 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.}, keywords = {Laplacian matrix}, issn = {0024-3795}, doi = {http://dx.doi.org/10.1016/j.laa.2015.04.031}, url = {http://www.sciencedirect.com/science/article/pii/S0024379515002840}, author = {Aaron Ostrander} }