3 papers
math.SP2019
Inertias of Laplacian matrices of weighted signed graphs
Keivan Hassani Monfared, Gary MacGillivray, Dale D. Olesky +1
We study the sets of inertias achieved by Laplacian matrices of weighted signed graphs. First we characterize signed graphs with a unique Laplacian inertia. Then we show that there…
cs.SI2018
Community structure detection and evaluation during the pre- and post-ictal hippocampal depth recordings
Keivan Hassani Monfared, Kris Vasudevan, Jordan S. Farrell +1
Detecting and evaluating regions of brain under various circumstances is one of the most interesting topics in computational neuroscience. However, the majority of the studies on d…
math.CO2016
Spectral characterization of matchings in graphs
Keivan Hassani Monfared, Sudipta Mallik
A spectral characterization of the matching number (the size of a maximum matching) of a graph is given. More precisely, it is shown that the graphs G of order n whose matching num…