Generating successive incomplete blocks with each pair of elements in at least one block

A - Papers appearing in refereed journals

Gower, J. C. and Preece, D. A. 1972. Generating successive incomplete blocks with each pair of elements in at least one block. Journal Of Combinatorial Theory Series A. 12 (1), pp. 81-97. https://doi.org/10.1016/0097-3165(72)90085-4

Publication dates
Authors	Gower, J. C. and Preece, D. A.
Abstract	This paper examines solutions to the following combinatorial problem: Produce an ordered set of blocks of M elements chosen from N such that (i) any pair of the N elements occurs together in at least one block, and (ii) the total number of element changes in forming each new block from the previous one is minimised. For certain values of N and M, the only known solutions have no known generalisation. However, several general algorithms are described that produce sets of blocks satisfying (i) and either satisfying or nearly satisfying (ii). Other, related, combinatorial problems are outlined; all are relevant to organizing a certain type of data in a computer.
Year of Publication	1972
Journal	Journal Of Combinatorial Theory Series A
Journal citation	12 (1), pp. 81-97
Digital Object Identifier (DOI)	https://doi.org/10.1016/0097-3165(72)90085-4
Open access	Published as bronze (free) open access
Publisher's version	1-s2.0-0097316572900854-main.pdf Copyright license Publisher copyright
Output status	Published
Print	01 Jan 1972
Online	02 Sep 2004
Publisher	Academic Press Inc Elsevier Science
ISSN	0097-3165

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