A Mathematical Analysis of Network Controllability Through Driver Nodes

被引:5
|
作者
Chin S.P. [1 ,2 ]
Cohen J. [3 ]
Albin A. [3 ]
Hayvanovych M. [3 ]
Reilly E. [3 ]
Brown G. [1 ]
Harer J. [1 ]
机构
[1] Department of Computer Science, Boston University, Boston, 02215, MA
[2] Systems and Technology Research, Woburn, 01801, MA
[3] Johns Hopkins University Applied Physics Laboratory, Laurel, 20723, MD
关键词
Controllability; maximal matching; social network;
D O I
10.1109/TCSS.2017.2698725
中图分类号
学科分类号
摘要
A May 2011 Nature article by Liu, Slotine, and Barabasi laid a mathematical foundation for analyzing network controllability of self-organizing networks and how to identify the minimum number of nodes needed to control a network, or driver nodes. In this paper, we continue to explore this topic, beginning with a look at how Laplacian eigenvalues relate to the percentage of nodes required to control a network. Next, we define and analyze super driver nodes, or those driver nodes that survive graph randomization. Finally, we examine node properties to differentiate super driver nodes from other types of nodes in a graph. © 2014 IEEE.
引用
收藏
页码:40 / 51
页数:11
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