Haim Hanani, Alan Hartman, et al.
Discrete Mathematics
A (v, k{cyrillic}, λ) packing design of order v, block size k{cyrillic} and index λ is a collection of k{cyrillic}-element subsets, called blocks, of a v-set V such that every 2-subset of V occurs in at most λ blocks. The packing problem is to determine the maximum number of blocks in a packing design. The only previous work on the packing problem with k{cyrillic}=6 concerns itself with the cases where the maximum packing design is in fact a balanced incomplete block design. In this paper we solve the packing problem with k{cyrillic}=6 and λ=5 and all positive integers v with the possible exceptions of v=41, 47, 53, 59, 62, 71. © 1992.
Haim Hanani, Alan Hartman, et al.
Discrete Mathematics
Ahmed M. Assaf, Alan Hartman
Discrete Mathematics
Alan Hartman, Dean G. Hoffman
European Journal of Combinatorics
Alan Hartman, Mika Katara, et al.
ESEC/FSE 2007