IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-642-01960-9_1.html
   My bibliography  Save this book chapter

Loops, Latin Squares and Strongly Regular Graphs: An Algorithmic Approach via Algebraic Combinatorics

In: Algorithmic Algebraic Combinatorics and Gröbner Bases

Author

Listed:
  • Aiso Heinze

    (Leibniz Institute for Science Education, Department of Mathematics)

  • Mikhail Klin

    (Ben-Gurion University of the Negev)

Abstract

Summary Using in conjunction computer packages GAP and COCO we establish an efficient algorithmic approach for the investigation of automorphism groups of geometric Latin square graphs. With the aid of this approach an infinite series of proper loops is presented which have a sharply transitive group of collineations. The interest in such loops was expressed by A. Barlotti and K. Strambach.

Suggested Citation

  • Aiso Heinze & Mikhail Klin, 2009. "Loops, Latin Squares and Strongly Regular Graphs: An Algorithmic Approach via Algebraic Combinatorics," Springer Books, in: Mikhail Klin & Gareth A. Jones & Aleksandar Jurišić & Mikhail Muzychuk & Ilia Ponomarenko (ed.), Algorithmic Algebraic Combinatorics and Gröbner Bases, pages 3-65, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-01960-9_1
    DOI: 10.1007/978-3-642-01960-9_1
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;
    ;
    ;

    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:spr:sprchp:978-3-642-01960-9_1. 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: 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.