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Resolvable candelabra quadruple systems with three groups
Author(s) -
Meng, Zhaoping,
Du Beiliang
Publication year - 2011
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.20274
Subject(s) - mathematics , combinatorics , group (periodic table) , discrete mathematics , organic chemistry , chemistry
Candelabra quadruple systems play an important role in the construction of Steiner 3‐designs. In this article, we consider resolvable candelabra quadruple systems with three groups and show that the necessary conditions on the existence of RCQS( g 3 : s ) when g is even are also sufficient. © 2011 Wiley Periodicals, Inc. J Combin Designs 19:247‐267, 2011