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$$k$$ k -Power domination in block graphs

Author

Listed:
  • Chao Wang

    (East China Normal University)

  • Lei Chen

    (Shanghai Maritime University)

  • Changhong Lu

    (East China Normal University)

Abstract

The power system monitoring problem asks for as few as possible measurement devices to be put in an electric power system. The problem has a graph theory model involving power dominating set in graphs. The concept of $$k$$ k -power domination, first introduced by Chang et al. (Discret Appl Math 160:1691–1698, 2012), is a common generalization of domination and power domination. In this paper, we present a linear-time algorithm for $$k$$ k -power domination in block graphs.

Suggested Citation

  • Chao Wang & Lei Chen & Changhong Lu, 2016. "$$k$$ k -Power domination in block graphs," Journal of Combinatorial Optimization, Springer, vol. 31(2), pages 865-873, February.
    • Handle: RePEc:spr:jcomop:v:31:y:2016:i:2:d:10.1007_s10878-014-9795-0
    DOI: 10.1007/s10878-014-9795-0
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    References listed on IDEAS

    as
    1. Ashkan Aazami, 2010. "Domination in graphs with bounded propagation: algorithms, formulations and hardness results," Journal of Combinatorial Optimization, Springer, vol. 19(4), pages 429-456, May.
    2. Lei Chen & Changhong Lu & Zhenbing Zeng, 2010. "Labelling algorithms for paired-domination problems in block and interval graphs," Journal of Combinatorial Optimization, Springer, vol. 19(4), pages 457-470, May.
    3. Guangjun Xu & Liying Kang, 2011. "On the power domination number of the generalized Petersen graphs," Journal of Combinatorial Optimization, Springer, vol. 22(2), pages 282-291, August.
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