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Further results on large set of disjoint pure Mendelsohn triple systems
Author(s) -
Lei Jianguo
Publication year - 2000
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 - 10.1002/1520-6610(2000)8:4<274::aid-jcd5>3.0.co;2-h
Subject(s) - disjoint sets , generalization , mathematics , combinatorics , set (abstract data type) , discrete mathematics , computer science , programming language , mathematical analysis
In this article, we study a large set of disjoint pure Mendelsohn triple systems “with holes” (briefly LPHMTS), which is a generalization of large set of disjoint pure Mendelsohn triple systems (briefly LPMTS), and give some recursive constructions on LPHMTS. Using these constructions, we show that there exists LPMTS(2 n + 2) for any n ≠ 2. © 2000 John Wiley & Sons, Inc. J Combin Designs 8: 274–290, 2000