
Accession Number : AD0640304
Title : MAXIMAL CONSISTENT FAMILIES OF TRIPLES,
Corporate Author : RAND CORP SANTA MONICA CALIF
Personal Author(s) : Spencer,Joel
Report Date : SEP 1966
Pagination or Media Count : 20
Abstract : A family F of three element subsets of an nelement set Sn is called nconsistent if the intersection of any two sets of F contain at most one element of Sn. We find maximal (in number of elements) F for all n. For certain n the F are Steiner Triple Systems. The construction of the F is constructive. Structure Theorems are given determining the graph of doublets not covered by triplets in F. (Author)
Descriptors : (*SET THEORY, EXPERIMENTAL DESIGN), SYSTEMS ENGINEERING, GRAPHICS
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE