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

Simple item page
dc.contributor.authorNamyaloa, Kasifa
dc.contributor.authorSarvateb, Dinesh G.
dc.contributor.authorZhang c, Li
dc.date.accessioned2021-05-12T09:36:24Z
dc.date.available2021-05-12T09:36:24Z
dc.date.issued2017
dc.descriptionPaper presented at the 4th Strathmore International Mathematics Conference (SIMC 2017), 19 - 23 June 2017, Strathmore University, Nairobi, Kenya.en_US
dc.description.abstractThe 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.en_US
dc.description.sponsorshipMbarara University of Science and Technology,Uganda.en_US
dc.identifier.urihttp://hdl.handle.net/11071/11831
dc.language.isoenen_US
dc.publisherStrathmore Universityen_US
dc.subjectGroup Divisible Designs (GDDs)en_US
dc.subjectBlocksen_US
dc.subjectConfigurationen_US
dc.titleGDD (n1, n, n + 1, 4; λ1, λ2) for n1 = 1 or 2en_US
dc.typeArticleen_US
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
GDD (n1, n, n + 1, 4; λ1, λ2) for n1 = 1 or 2.pdf
Size:
148.15 KB
Format:
Adobe Portable Document Format
Description:
Abstract - SIMC Conference paper, 2017
Download
License bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description:
Download
Collections
SIMC 2017