IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v306y2017icp49-55.html
   My bibliography  Save this article

On tetravalent symmetric dihedrants

Author

Listed:
  • Li, Jingjian
  • Xu, Shangjin
  • Cao, Mengyue
  • Kang, Zhe

Abstract

Let Γ be a tetravalent X-arc-transitive Cayley graph of dihedral group for X ≤ AutΓ. Let Xv be the stabilizer of X on v ∈ VΓ. Γ has been determined when it is 2-arc-transitive or one-regular. This paper studies the case where Γ is one-transitive but not one-regular, and gives it an exactly characterization. As an application of this result, we give a compete classification of such graphs when |Xv| ≤ 24. By production, a compete classification is given for the stabilizers of tetravalent symmetric Cayley graphs whenever its order is less than 25.

Suggested Citation

  • Li, Jingjian & Xu, Shangjin & Cao, Mengyue & Kang, Zhe, 2017. "On tetravalent symmetric dihedrants," Applied Mathematics and Computation, Elsevier, vol. 306(C), pages 49-55.
    • Handle: RePEc:eee:apmaco:v:306:y:2017:i:c:p:49-55
    DOI: 10.1016/j.amc.2017.02.027
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300317301315
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2017.02.027?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. Li, Shasha & Li, Xueliang & Shi, Yongtang, 2015. "Note on the complexity of deciding the rainbow (vertex-) connectedness for bipartite graphs," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 155-161.
    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. Li, Jing Jian & Ling, Bo & Liu, Guodong, 2018. "A characterisation on arc-transitive graphs of prime valency," Applied Mathematics and Computation, Elsevier, vol. 325(C), pages 227-233.

    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. Chen, Lin & Li, Xueliang & Liu, Jinfeng, 2017. "The k-proper index of graphs," Applied Mathematics and Computation, Elsevier, vol. 296(C), pages 57-63.
    2. Yue, Jun & Zhang, Shiliang & Zhang, Xia, 2016. "Note on the perfect EIC-graphs," Applied Mathematics and Computation, Elsevier, vol. 289(C), pages 481-485.
    3. Li, Jing Jian & Ling, Bo & Liu, Guodong, 2018. "A characterisation on arc-transitive graphs of prime valency," Applied Mathematics and Computation, Elsevier, vol. 325(C), pages 227-233.
    4. 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.

    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:306:y:2017:i:c:p:49-55. 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.