IDEAS home Printed from https://ideas.repec.org/a/ibn/jmrjnl/v11y2019i2p20.html
   My bibliography  Save this article

Strong Geodetic Number in Some Networks

Author

Listed:
  • Huifen Ge
  • Zhao Wang
  • Jinyu Zou

Abstract

A vertex subset S of a graph is called a strong geodetic set if there exists a choice of exactly one geodesic for each pair of vertices of S in such a way that these (|S| 2) geodesics cover all the vertices of graph G. The strong geodetic number of G, denoted by sg(G), is the smallest cardinality of a strong geodetic set. In this paper, we give an upper bound of strong geodetic number of the Cartesian product graphs and study this parameter for some Cartesian product networks.

Suggested Citation

  • Huifen Ge & Zhao Wang & Jinyu Zou, 2019. "Strong Geodetic Number in Some Networks," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 11(2), pages 20-29, April.
    • Handle: RePEc:ibn:jmrjnl:v:11:y:2019:i:2:p:20
    as

    Download full text from publisher

    File URL: http://www.ccsenet.org/journal/index.php/jmr/article/download/0/0/38529/39145
    Download Restriction: no
    File URL: http://www.ccsenet.org/journal/index.php/jmr/article/view/0/38529
    Download Restriction: no
    ---><---

    Citations

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


    Cited by:

    1. Wadud, Zia, 2020. "The effects of e-ridehailing on motorcycle ownership in an emerging-country megacity," Transportation Research Part A: Policy and Practice, Elsevier, vol. 137(C), pages 301-312.

    More about this item

    Keywords

    strong geodetic number; cartesian product; hyper Peterson network; torus network; cube;
    All these keywords.

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

    Statistics

    Access and download statistics

    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:ibn:jmrjnl:v:11:y:2019:i:2:p:20. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Canadian Center of Science and Education (email available below). General contact details of provider: https://edirc.repec.org/data/cepflch.html .

    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.