TY - JOUR

T1 - The packing of pairs by quadruples

AU - Assaf, Ahmed M.

PY - 1991/7/17

Y1 - 1991/7/17

N2 - Let X be a finite set of size ν, further let λ be a positive integer and let σ(4,λν) denote the maximum number of quadruples such that each pair of elements of X is contained in at most λ of them. The value of σ(4, 1;ν) has been determined by Brouwer (1979) for all v≥4. The value of σ(4,λν) has been determined by Billington, Stanton and Stinson (1984) for all ν≡0 (mod 3) and λ>1. In this paper we complete the determination of σ(4,λν) for all ν≥4 and λ>1.

AB - Let X be a finite set of size ν, further let λ be a positive integer and let σ(4,λν) denote the maximum number of quadruples such that each pair of elements of X is contained in at most λ of them. The value of σ(4, 1;ν) has been determined by Brouwer (1979) for all v≥4. The value of σ(4,λν) has been determined by Billington, Stanton and Stinson (1984) for all ν≡0 (mod 3) and λ>1. In this paper we complete the determination of σ(4,λν) for all ν≥4 and λ>1.

UR - http://www.scopus.com/inward/record.url?scp=44949276430&partnerID=8YFLogxK

U2 - 10.1016/0012-365X(91)90146-S

DO - 10.1016/0012-365X(91)90146-S

M3 - Article

AN - SCOPUS:44949276430

SN - 0012-365X

VL - 90

SP - 221

EP - 231

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 3

ER -