Publication:
Gregarious GDDs with Two Associate Classes

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0

Issued Date

2010

Resource Type

Article

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application/pdf

ISSN

9110119

DOI

10.1007/s00373-010-0951-8

Other identifier(s)

2-s2.0-77958453563

Rights Holder(s)

Scopus

Bibliographic Citation

Graphs and Combinatorics. Vol 26, No.6 (2010), p.775-780

Suggested Citation

El-Zanati S.I., Punnim N., Rodger C.A. Gregarious GDDs with Two Associate Classes. Graphs and Combinatorics. Vol 26, No.6 (2010), p.775-780. doi:10.1007/s00373-010-0951-8 Retrieved from: https://hdl.handle.net/20.500.14740/7578

Title

Gregarious GDDs with Two Associate Classes

Author(s)

El-Zanati S.I.
 Punnim N.
 Rodger C.A.

Abstract

The existence of group divisible designs with two associate classes has been studied for over 50 years. Probably the most difficult cases to solve are those in which the number of groups is less than the size of the blocks. Recently, such an existence problem was solved in the case where the groups have the same size and the blocks have size 3. In this paper, we continue to focus on blocks of size 3, solving the existence problem when the required designs are gregarious (each block intersects each group). These designs are tight to construct in the sense that they satisfy equality in one of the bounds required for GDDs to exist. © 2010 Springer.

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URI

https://hdl.handle.net/20.500.14740/7578

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Scopus: Year 1983-2021

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