TY - JOUR

T1 - On directed packing designs with block size 5 and index λ = 2

AU - Assaf, Ahmed M.

AU - Shalaby, N.

AU - Yin, J.

PY - 1996

Y1 - 1996

N2 - Let υ, κ and λ be positive integers. A (υ,κ,λ) directed packing design, denoted by DP(υ,κ,λ), is a (υ,κ,2λ) packing design in which blocks are regarded as transitively ordered κ-tuples and in which each ordered pair of elements appears in at most λ blocks. The directed parking problem is to determine the maximum number of blocks, DD(υ,κ,λ) in a directed packing design. In this paper, this problem is completely solved for the case κ = 5, λ = 2 and υ ≥ 5.

AB - Let υ, κ and λ be positive integers. A (υ,κ,λ) directed packing design, denoted by DP(υ,κ,λ), is a (υ,κ,2λ) packing design in which blocks are regarded as transitively ordered κ-tuples and in which each ordered pair of elements appears in at most λ blocks. The directed parking problem is to determine the maximum number of blocks, DD(υ,κ,λ) in a directed packing design. In this paper, this problem is completely solved for the case κ = 5, λ = 2 and υ ≥ 5.

UR - http://www.scopus.com/inward/record.url?scp=0030300319&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0030300319

VL - 50

SP - 245

EP - 254

JO - Utilitas Mathematica

JF - Utilitas Mathematica

SN - 0315-3681

ER -