TY - JOUR
T1 - Directed covering with block size 5 and v and λ Odd
AU - AbuGhneim, Omar A.
AU - Al-Halees, Hasan A.
AU - Assaf, Ahmed M.
PY - 2008/8
Y1 - 2008/8
N2 - A directed covering design, DC(v, k, λ), is a (v, k, 2λ) covering design in which the blocks axe regarded as ordered k-tuples and in which each ordered pair of elements occurs in at least λ blocks. Let DE(v, k, λ) denote the minimum number of blocks in a DC(v, k, λ). In this paper the values of the function DE(v, k, λ) are determined for all odd integers v ≥ 5 and λ odd, with the exception of (v, λ) = (53, 1), (63, 1), (73, 1), (83, 1). Further, we provide an example of a covering design that can not be directed.
AB - A directed covering design, DC(v, k, λ), is a (v, k, 2λ) covering design in which the blocks axe regarded as ordered k-tuples and in which each ordered pair of elements occurs in at least λ blocks. Let DE(v, k, λ) denote the minimum number of blocks in a DC(v, k, λ). In this paper the values of the function DE(v, k, λ) are determined for all odd integers v ≥ 5 and λ odd, with the exception of (v, λ) = (53, 1), (63, 1), (73, 1), (83, 1). Further, we provide an example of a covering design that can not be directed.
UR - http://www.scopus.com/inward/record.url?scp=78651582963&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:78651582963
SN - 0835-3026
VL - 66
SP - 237
EP - 255
JO - Journal of Combinatorial Mathematics and Combinatorial Computing
JF - Journal of Combinatorial Mathematics and Combinatorial Computing
ER -