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arXiv · 2206.01188

Control hubs of complex networks and a polynomial-time identification algorithm

Xizhe Zhang·Chunyu Pan·Weixiong Zhang
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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.

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Xizhe Zhang, Chunyu Pan, Weixiong Zhang. 2022-06-01. Control hubs of complex networks and a polynomial-time identification algorithm. https://arxiv.org/abs/2206.01188

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