On orthogonal double covers of graphs

HDOF Gronau, M Grüttmüller, S Hartmann… - Designs, codes and …, 2002 - Springer
An orthogonal double cover (ODC) is a collection of n spanning subgraphs (pages) of the
complete graph K n such that they cover every edge of the completegraph twice and the …

The existence of mixed orthogonal arrays with four and five factors of strength two

G Chen, L Ji, J Lei - Journal of Combinatorial Designs, 2014 - Wiley Online Library
Symmetric orthogonal arrays and mixed orthogonal arrays are useful in the design of
various experiments. They are also a fundamental tool in the construction of various …

[HTML][HTML] Super-simple (v, 5, 2)-designs

HDOF Gronau, DL Kreher, ACH Ling - Discrete applied mathematics, 2004 - Elsevier
Super-simple (v,5,2)-designs - ScienceDirect Skip to main contentSkip to article Elsevier
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[HTML][HTML] Super-simple balanced incomplete block designs with block size 4 and index 5

H Cao, K Chen, R Wei - Discrete mathematics, 2009 - Elsevier
In statistical planning of experiments, super-simple designs are the ones providing samples
with maximum intersection as small as possible. Super-simple designs are also useful in …

42-Decomposable super-simple (v, 4, 8)-BIBDs

J Chen, H Yu, RJR Abel, D Wu - Discrete Mathematics, 2022 - Elsevier
A design is said to be super-simple if the intersection of any two blocks has at most two
elements. A design with index λ is said to be {λ 1 s 1, λ 2 s 2,…, λ rsr}-decomposable, with∑ …

Decomposable super‐simple BIBDs with block size 4 and index 4, 6

J Chen, H Yu, RJR Abel, D Wu - Journal of Combinatorial …, 2022 - Wiley Online Library
Decomposable designs are important combinatorial designs, and have applications in
constant weight codes, perfect threshold schemes and graph decompositions. Let λ λ be an …

Super-simple balanced incomplete block designs with block size 4 and index 9

Y Zhang, K Chen, Y Sun - Journal of statistical planning and inference, 2009 - Elsevier
In statistical planning of experiments, super-simple designs are the ones providing samples
with maximum intersection as small as possible. Super-simple designs are also useful in …

[HTML][HTML] Super-simple BIBDs with block size 4 and index 7

X Sun - Discrete Mathematics, 2020 - Elsevier
Super-simple designs are used in other constructions, such as coverings, superimposed
codes and perfect hash families etc. The existence of super-simple (v, 4, λ)-BIBDs has been …

Super-simple group divisible designs with block size 4 and index λ= 7, 8

G Chen, K Chen, Y Zhang, N Jiang - Discrete Mathematics, 2021 - Elsevier
A design is said to be super-simple if the intersection of any two blocks has at most two
elements. In statistical planning of experiments, super-simple designs provide samples with …

[HTML][HTML] Super-simple balanced incomplete block designs with block size 5 and index 3

K Chen, G Chen, W Li, R Wei - Discrete Applied Mathematics, 2013 - Elsevier
Super-simple designs are useful in constructing codes and designs such as superimposed
codes and perfect hash families. In this article, we investigate the existence of a super …