Premium
Resolvable modified group divisible designs with block size three
Author(s) -
Wang Chengmin,
Tang Yu,
Danziger Peter
Publication year - 2007
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.20097
Subject(s) - mathematics , block size , combinatorics , block (permutation group theory) , group (periodic table) , block design , discrete mathematics , arithmetic , computer science , chemistry , computer security , organic chemistry , key (lock)
Abstract A resolvable modified group divisible design (RMGDD) is an MGDD whose blocks can be partitioned into parallel classes. In this article, we investigate the existence of RMGDDs with block size three and show that the necessary conditions are also sufficient with two exceptions. © 2005 Wiley Periodicals, Inc. J Combin Designs 15: 2–14, 2007