@inproceedings{817688d2f9e74ace8684ba97868ae0e7,
title = "Combinatorial insights and robustness analysis for clustering in dynamical networks",
abstract = "This paper studies a clustering phenomena that emerges from a dynamic network with bounded and non-linear interactions. Necessary and sufficient conditions are given describing when the network exhibits clustering. We introduce a synchronization coefficient to quantify whether a network is synchronizing or clustering and provide a robustness margin for clustering. A combinatorial description of the dynamic network clustering is provided that relates to optimal graph partitioning. Finally, the synchronization coefficient is also used for defining a set of critical disturbances that can cause the system to cluster.",
author = "Mathias Burger and Daniel Zelazo and Frank Allgower",
year = "2012",
doi = "10.1109/acc.2012.6314935",
language = "الإنجليزيّة",
isbn = "9781457710957",
series = "Proceedings of the American Control Conference",
pages = "454--459",
booktitle = "2012 American Control Conference, ACC 2012",
note = "2012 American Control Conference, ACC 2012 ; Conference date: 27-06-2012 Through 29-06-2012",
}