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On the existence of pure (v, 4, λ)‐PMD with λ = 1 and 2
Author(s) -
Qinglin Lu
Publication year - 1994
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.3180020103
Subject(s) - mathematics , integer (computer science) , combinatorics , existential quantification , discrete mathematics , computer science , programming language
In this article, we investigate the existence of pure ( v , 4, λ)‐PMD with λ = 1 and 2, and obtain the following results: (1) a pure ( v , 4, 1)‐PMD exists for every positive integer v = 0 or 1 (mod 4) with the exception of v = 4 and 8 and the possible exception of v = 12; (2) a pure ( v , 4, 2)‐PMD exists for every integer v ≥ 6. © 1994 John Wiley & Sons, Inc.
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