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Target observation of complex networks

Author

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  • Sun, Yi-Fan
  • Sun, Zheng-Yang

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 either unfeasible or 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.

Suggested Citation

  • Sun, Yi-Fan & Sun, Zheng-Yang, 2019. "Target observation of complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 517(C), pages 233-245.
    • Handle: RePEc:eee:phsmap:v:517:y:2019:i:c:p:233-245
    DOI: 10.1016/j.physa.2018.11.015
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    References listed on IDEAS

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    3. V. Chvatal, 1979. "A Greedy Heuristic for the Set-Covering Problem," Mathematics of Operations Research, INFORMS, vol. 4(3), pages 233-235, August.
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