Control hubs of complex networks and a polynomial-time identification algorithm
Discrete Mathematics
2022-06-03 v1 Data Structures and Algorithms
Systems and Control
Systems and Control
Abstract
Unveiling the underlying control principles of complex networks is one of the ultimate goals of network science. We introduce a novel concept, control hub, to reveal a cornerstone of the control structure of a network. The control hubs of a network are the nodes that lie in the middle of a control path in every control scheme of the network. We present a theorem based on graph theory for identifying control hubs without computing all control schemes. We develop an algorithm to identify all control hubs in O(N0.5L) time complexity for a network of N nodes and L links.
Cite
@article{arxiv.2206.01188,
title = {Control hubs of complex networks and a polynomial-time identification algorithm},
author = {Xizhe Zhang and Chunyu Pan and Weixiong Zhang},
journal= {arXiv preprint arXiv:2206.01188},
year = {2022}
}
Comments
5 pages, 2 figures