Title
Kirkman covering designs with even-sized holes
Abstract
A Kirkman holey covering design, denoted by KHCD(g^u), is a resolvable group-divisible covering design of type g^u. Each of its parallel class contains one block of size @d, while other blocks have size 3. Here @d is equal to 2, 3 and 4 when gu=2, 3 and 4 (mod 3) in turn. In this paper, we study the existence problem of a KHCD(g^u) which has minimum possible number of parallel classes, and give a solution for most values of even g and u.
Year
DOI
Venue
2009
10.1016/j.disc.2008.02.016
Discrete Mathematics
Keywords
Field
DocType
existence,kirkman covering design,hole
Discrete mathematics,Combinatorics,Mathematics
Journal
Volume
Issue
ISSN
309
6
Discrete Mathematics
Citations 
PageRank 
References 
0
0.34
4
Authors
2
Name
Order
Citations
PageRank
Jianxing Yin137330.16
Chengmin Wang2448.30