IDEAS home Printed from https://ideas.repec.org/a/hin/jjmath/8200046.html
   My bibliography  Save this article

Fault-Tolerant Resolvability of Swapped Optical Transpose Interconnection System

Author

Listed:
  • Iffat Fida Hussain
  • Sheeba Afridi
  • Ahmad Mahmood Qureshi
  • Gohar Ali
  • Usman Ali
  • Francisco J. Garcia Pacheco

Abstract

Interconnection systems in computer science and information technology are mainly represented by graphs. One such instance is of swapped network simulated by the optical transpose interconnection system (OTIS). Fault tolerance has become a vital feature of optoelectronic systems. Among multiple types of faults that may take place in an interconnection system, two significant kinds are either due to malfunctioning of a node (processor in case of OG) or collapse of communication between nodes (failure of interprocessor transmission). To prevail over these faults, the unique recognition of every node is essential. In graph-theoretic interpretation, this leads to instigating the metric dimension βOG and fault-metric dimension β ′OG of the graph OG obtained from the interconnection system. This paper explores OTIS over base graph Pm (path graph over m vertices) for resolvability and fault-tolerant resolvability. Furthermore, bounds for βOG and β′OG are also imparted over G=Pm.

Suggested Citation

  • Iffat Fida Hussain & Sheeba Afridi & Ahmad Mahmood Qureshi & Gohar Ali & Usman Ali & Francisco J. Garcia Pacheco, 2022. "Fault-Tolerant Resolvability of Swapped Optical Transpose Interconnection System," Journal of Mathematics, Hindawi, vol. 2022, pages 1-6, May.
    • Handle: RePEc:hin:jjmath:8200046
    DOI: 10.1155/2022/8200046
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jmath/2022/8200046.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/jmath/2022/8200046.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/8200046?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
    ---><---

    More about this item

    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:hin:jjmath:8200046. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    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.