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On group-divisible designs with block size four and group-type <f>6um1</f>

Authors :
Ge, Gennian
Rees, R.
Source :
Discrete Mathematics. Mar2004, Vol. 279 Issue 1-3, p247. 19p.
Publication Year :
2004

Abstract

We determine, up to 13 possible exceptions, the spectrum for &lt;f&gt;{4}&lt;/f&gt;-GDDs with group-type &lt;f&gt;6um1&lt;/f&gt;. As an application, we construct a new class of Kirkman frames and use these to complete the spectrum for incomplete nearly Kirkman triple systems &lt;f&gt;INKTS(v,w)&lt;/f&gt; where &lt;f&gt;v−w≡0 mod 12&lt;/f&gt;. [Copyright &amp;y&amp; Elsevier]

Details

Language :
English
ISSN :
0012365X
Volume :
279
Issue :
1-3
Database :
Academic Search Index
Journal :
Discrete Mathematics
Publication Type :
Academic Journal
Accession number :
12379127
Full Text :
https://doi.org/10.1016/S0012-365X(03)00272-3