IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v369y2020ics0096300319308094.html
   My bibliography  Save this article

Domination in hexagonal chains

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300319308094
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.amc.2019.124817?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Banerjee, S. & Henning, Michael A. & Pradhan, D., 2021. "Perfect Italian domination in cographs," Applied Mathematics and Computation, Elsevier, vol. 391(C).
    2. Ma, Yuede & Cai, Qingqiong & Yao, Shunyu, 2019. "Integer linear programming models for the weighted total domination problem," Applied Mathematics and Computation, Elsevier, vol. 358(C), pages 146-150.
    3. Darja Rupnik Poklukar & Janez Žerovnik, 2023. "Double Roman Domination: A Survey," Mathematics, MDPI, vol. 11(2), pages 1-20, January.
    4. Liu, Xiaoxiao & Sun, Shiwen & Wang, Jiawei & Xia, Chengyi, 2019. "Onion structure optimizes attack robustness of interdependent networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    5. 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.
    6. S. Banerjee & Michael A. Henning & D. Pradhan, 2020. "Algorithmic results on double Roman domination in graphs," Journal of Combinatorial Optimization, Springer, vol. 39(1), pages 90-114, January.
    7. Hao Guan & Waheed Ahmad Khan & Amna Fida & Khadija Ali & Jana Shafi & Aysha Khan, 2024. "Dominations in Intutionistic Fuzzy Directed Graphs with Applications towards Influential Graphs," Mathematics, MDPI, vol. 12(6), pages 1-14, March.
    8. Gao, Zhipeng & Lei, Hui & Wang, Kui, 2020. "Rainbow domination numbers of generalized Petersen graphs," Applied Mathematics and Computation, Elsevier, vol. 382(C).
    9. Samadi, B. & Soltankhah, N. & Abdollahzadeh Ahangar, H. & Chellali, M. & Mojdeh, D.A. & Sheikholeslami, S.M. & Valenzuela-Tripodoro, J.C., 2023. "Restrained condition on double Roman dominating functions," Applied Mathematics and Computation, Elsevier, vol. 438(C).
    10. Zehui Shao & Rija Erveš & Huiqin Jiang & Aljoša Peperko & Pu Wu & Janez Žerovnik, 2021. "Double Roman Graphs in P (3 k , k )," Mathematics, MDPI, vol. 9(4), pages 1-18, February.
    11. Enrico Enriquez & Grace Estrada & Carmelita Loquias & Reuella J Bacalso & Lanndon Ocampo, 2021. "Domination in Fuzzy Directed Graphs," Mathematics, MDPI, vol. 9(17), pages 1-14, September.
    12. Li, Shasha & Zhao, Yan & Li, Fengwei & Gu, Ruijuan, 2019. "The generalized 3-connectivity of the Mycielskian of a graph," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 882-890.
    13. Frank Werner, 2019. "Discrete Optimization: Theory, Algorithms, and Applications," Mathematics, MDPI, vol. 7(5), pages 1-4, May.
    14. Chen, He & Jin, Zemin, 2017. "Coupon coloring of cographs," Applied Mathematics and Computation, Elsevier, vol. 308(C), pages 90-95.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:369:y:2020:i:c:s0096300319308094. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.