• Login
    View Item 
    •   SU+ Home
    • Conferences / Workshops / Seminars +
    • Strathmore International Mathematics Conference
    • SIMC 2017
    • View Item
    •   SU+ Home
    • Conferences / Workshops / Seminars +
    • Strathmore International Mathematics Conference
    • SIMC 2017
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    GDD (n1, n, n + 1, 4; λ1, λ2) for n1 = 1 or 2

    Thumbnail
    View/Open
    Abstract - SIMC Conference paper, 2017 (148.1Kb)
    Date
    2017
    Author
    Namyaloa, Kasifa
    Sarvateb, Dinesh G.
    Zhang c, Li
    Metadata
    Show full item record
    Abstract
    The main subject matter for this paper is GDDs with three groups of sizes 1, n, (n≥ 2) and n + 1, respectively, and block size four. A block has Configuration (1, 1, 2), means the block has the point from the group of size 1 and one point from one of the other two groups and the remaining two points from the third group. A block has configuration (2, 2) if the block has exactly two points from each of the two groups of sizes n and n + 1. First, we prove that these GDDs do not exist if we require that the number of the blocks having Configuration (1, 1, 2) is equal to the number of block shaving Configuration (2, 2). Then we provide necessary conditions for the existence of a GDD ({1, n, n + 1}, 3, 4; λ1 , λ2) and prove that these conditions are sufficient for several families of GDDs. We also prove several nonexistence results, where these usual necessary conditions are satisfied.
    URI
    http://hdl.handle.net/11071/11831
    Collections
    • SIMC 2017 [85]

    DSpace software copyright © 2002-2016  DuraSpace
    Contact Us | Send Feedback
    Theme by 
    Atmire NV
     

     

    Browse

    All of SU+Communities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

    My Account

    Login

    DSpace software copyright © 2002-2016  DuraSpace
    Contact Us | Send Feedback
    Theme by 
    Atmire NV