Target observation of complex networks
arXiv:2211.17208 · doi:10.1016/j.physa.2018.11.015
Abstract
How to observe the state of a network from a limited number of measurements has become an important issue in complex networks, engineering, communication, epidemiology, etc. Under some scenarios, it is neither unfeasible nor unnecessary to observe the entire network. Therefore, we investigate the target observation of a network in this paper. We propose a target minimal dominating set problem corresponding to target observation, which is a natural generalization of classical minimal dominating set problem. Three algorithms are proposed to approximate the minimum set of occupied nodes sufficient for target observation. Extensive numerical results on computer-generated random networks and real-world networks demonstrate that the proposed algorithms offer superior performance in identification of a target minimal dominating set.
arXiv comment20 pages, 7 figures
References in corpus (9)
- Universal Behavior of Load Distribution in Scale-free Networks
- The Bethe lattice spin glass revisited
- Control Principles of Complex Networks
- Control of complex networks requires both structure and dynamics
- Minimum Dominating Sets in Scale-Free Network Ensembles
- Network Observability Transitions
- State observation and sensor selection for nonlinear networks
- Statistical Mechanics of the Minimum Dominating Set Problem
- Suppressing epidemics on networks by exploiting observer nodes