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Two new direct product‐type constructions for resolvable group‐divisible designs
Author(s) -
Rees Rolf S.
Publication year - 1993
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.3180010104
Subject(s) - mathematics , combinatorics , type (biology) , group (periodic table) , product (mathematics) , block (permutation group theory) , direct product , block size , discrete mathematics , computer science , ecology , chemistry , geometry , computer security , organic chemistry , key (lock) , biology
We present two direct product‐type constructions which will prove useful in the construction of resolvable designs. We use our constructions to complete the spectrum for resolvable group‐divisible designs with block size three, as well as to give a short proof of the existence of decompositions of K 6n into a one‐factors and b triangle‐factors for any a, b, n with a + 2 b = 6 n − 1 and a > 1. © 1993 John Wiley & Sons, Inc.