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Note on power propagation time and lower bounds for the power domination number

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Abstract

We present a counterexample to a lower bound for the power domination number given in Liao (J Comb Optim 31:725–742, 2016). We also define the power propagation time, using the power domination propagation ideas in Liao and the (zero forcing) propagation time in Hogben et al. (Discrete Appl Math 160:1994–2005, 2012).

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Authors and Affiliations

  1. Department of Mathematics, Texas State University, San Marcos, TX, USA

    Daniela Ferrero

  2. Department of Mathematics, Iowa State University, Ames, IA, 50011, USA

    Leslie Hogben & Michael Young

  3. American Institute of Mathematics, 600 E. Brokaw Road, San Jose, CA, 95112, USA

    Leslie Hogben

  4. Department of Computational and Applied Mathematics, Rice University, Houston, TX, 77005, USA

    Franklin H. J. Kenter

Authors
  1. Daniela Ferrero
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  2. Leslie Hogben
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  3. Franklin H. J. Kenter
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  4. Michael Young
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Correspondence to Leslie Hogben.

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Ferrero, D., Hogben, L., Kenter, F.H.J. et al. Note on power propagation time and lower bounds for the power domination number. J Comb Optim 34, 736–741 (2017). https://doi.org/10.1007/s10878-016-0103-z

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  • DOI: https://doi.org/10.1007/s10878-016-0103-z

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