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Domination in hexagonal chains

Author

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  • Bermudo, Sergio
  • Higuita, Robinson A.
  • Rada, Juan

Abstract

In this paper we give bounds for the domination number in hexagonal chains and the exact value of this parameter for some particular hexagonal chains. We also find the hexagonal chains with minimum and maximum domination number, among all hexagonal chains with a fixed number of hexagons.

Suggested Citation

  • Bermudo, Sergio & Higuita, Robinson A. & Rada, Juan, 2020. "Domination in hexagonal chains," Applied Mathematics and Computation, Elsevier, vol. 369(C).
  • Handle: RePEc:eee:apmaco:v:369:y:2020:i:c:s0096300319308094
    DOI: 10.1016/j.amc.2019.124817
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    References listed on IDEAS

    as
    1. Yue, Jun & Wei, Meiqin & Li, Min & Liu, Guodong, 2018. "On the double Roman domination of graphs," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 669-675.
    2. Yongtang Shi & Meiqin Wei & Jun Yue & Yan Zhao, 2017. "Coupon coloring of some special graphs," Journal of Combinatorial Optimization, Springer, vol. 33(1), pages 156-164, January.
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    Cited by:

    1. Hong Gao & Penghui Wang & Enmao Liu & Yuansheng Yang, 2020. "More Results on Italian Domination in C n □ C m," Mathematics, MDPI, vol. 8(4), pages 1-10, March.

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