@inproceedings{01d8dc7d1366413d90543c3e79d29215,
title = "Characterizing the positive semidefiniteness of signed Laplacians via Effective Resistances",
abstract = "A symmetric signed Laplacian matrix uniquely defines a resistive electrical circuit, where the negative weights correspond to negative resistances. The positive semidefiniteness of signed Laplacian matrices is studied in this paper using the concept of effective resistance. We show that a signed Laplacian matrix is positive semidefinite with a simple zero eigenvalue if, and only if, the underlying graph is connected, and a suitably defined effective resistance matrix is positive definite.",
author = "Wei Chen and Ji Liu and Yongxin Chen and Khong, {Sei Zhen} and Dan Wang and Tamer Ba{\c s}ar and Li Qiu and Johansson, {Karl H.}",
note = "Publisher Copyright: {\textcopyright} 2016 IEEE.; 55th IEEE Conference on Decision and Control, CDC 2016 ; Conference date: 12-12-2016 Through 14-12-2016",
year = "2016",
month = dec,
day = "27",
doi = "10.1109/CDC.2016.7798396",
language = "English (US)",
series = "2016 IEEE 55th Conference on Decision and Control, CDC 2016",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "985--990",
booktitle = "2016 IEEE 55th Conference on Decision and Control, CDC 2016",
address = "United States",
}