IDEAS home Printed from https://ideas.repec.org/a/spr/jcomop/v36y2018i4d10.1007_s10878-018-0274-x.html
   My bibliography  Save this article

Broadcasting multiple messages in the 1-in port model in optimal time

Author

Listed:
  • Petr Gregor

    (Charles University)

  • Riste Škrekovski

    (University of Ljubljana
    Faculty of Information Studies
    FAMNIT, University of Primorska)

  • Vida Vukašinović

    (Jožef Stefan Institute)

Abstract

In the 1-in port model, every vertex of a synchronous network can receive at most one message in each time unit. We consider simultaneous broadcasting of multiple messages from the same source or from distinct sources in such networks with an additional restriction that every received message can be sent out to neighbors only in the next time unit and never to already informed vertex. We use a general concept of level-disjoint partitions developed for this scenario. Here we introduce a subgraph extension technique for efficient spreading information within this concept. Surprisingly, this approach with so called biwheels leads to simultaneous broadcasting of optimal number of messages on a wide class of graphs in optimal time. In particular, we provide tight results for bipartite tori, meshes, hypercubes, Knödel graphs, circulant graphs. We also propose several open problems and conjectures.

Suggested Citation

  • Petr Gregor & Riste Škrekovski & Vida Vukašinović, 2018. "Broadcasting multiple messages in the 1-in port model in optimal time," Journal of Combinatorial Optimization, Springer, vol. 36(4), pages 1333-1355, November.
    • Handle: RePEc:spr:jcomop:v:36:y:2018:i:4:d:10.1007_s10878-018-0274-x
    DOI: 10.1007/s10878-018-0274-x
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10878-018-0274-x
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10878-018-0274-x?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. Gregor, Petr & Škrekovski, Riste & Vukašinović, Vida, 2015. "Rooted level-disjoint partitions of Cartesian products," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 244-258.
    2. Gregor, Petr & Škrekovski, Riste & Vukašinović, Vida, 2018. "Modelling simultaneous broadcasting by level-disjoint partitions," Applied Mathematics and Computation, Elsevier, vol. 325(C), pages 15-23.
    Full references (including those not matched with items on IDEAS)

    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. Gregor, Petr & Škrekovski, Riste & Vukašinović, Vida, 2018. "Modelling simultaneous broadcasting by level-disjoint partitions," Applied Mathematics and Computation, Elsevier, vol. 325(C), pages 15-23.
    2. Fister, Iztok & Tepeh, Aleksandra & Fister Jr., Iztok, 2016. "Epistatic arithmetic crossover based on Cartesian graph product in ensemble differential evolution," Applied Mathematics and Computation, Elsevier, vol. 283(C), pages 181-194.

    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:spr:jcomop:v:36:y:2018:i:4:d:10.1007_s10878-018-0274-x. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.