Existence of Steiner seven-cycle systems

RJR Abel, FE Bennett, G Ge, L Zhu - Discrete mathematics, 2002 - Elsevier
… , the existence of which has been solved since 1847 (see [14]). … we investigate the existence
of Steiner k-cycle systems when k … We consider the existence of S7CS(v) and state the main …

[HTML][HTML] Some constructions for cyclic perfect cycle systems

M Buratti, F Rania, F Zuanni - Discrete mathematics, 2005 - Elsevier
… 1 ) / 2 } is called a Steiner k-cycle system of order v and it will … v for which there exists a Steiner
pentagon system of order v … existence of a 2-perfect (though not regular) k -cycle system of …

On perfect Γ‐decompositions of the complete graph

M Buratti, A Pasotti - Journal of Combinatorial Designs, 2009 - Wiley Online Library
… constructions for some Steiner wheel-systems, for some Steiner circulant-systems, and for a
2-… In particular, we prove the existence of a 2-transitive Kirkman Pqsystem of order qt for any …

On the existence of elementary abelian cycle systems

A Benini, A Pasotti - Graphs and Combinatorics, 2009 - Springer
… is called a Steiner k-cycle system of order v and it is denoted by SkS(v). A Kirkman k-cycle …
In what follows we will deal with the existence problem of cycle systems for the elementary …

[PDF][PDF] On Perfect Ŵ-decompositions of the Complete Graph

M Buratti, A Pasotti - 2008 - academia.edu
… some Steiner wheel-systems, for some Steiner circulant-systems, … Finally, we obtain some
results on Steiner Ŵ-systems … prove the existence of a 2-transitive Kirkman Pqsystem of order …

Authentication perpendicular arrays APA1(2, 7, ν)

G Ge, L Zhu - Journal of Combinatorial Designs, 1997 - Wiley Online Library
existence result for APA1(2, 5, v) by presenting five new orders so that such a design exists
… This construction is inspired by some known constructions for Steiner pentagon systems ([11…

Recent progress on the existence of perfect Mendelsohn designs

FE Bennett - Journal of statistical planning and inference, 2001 - Elsevier
… He first looked at the natural generalization of Steiner triple systems. These triple systems
were initially called “cyclic triple systems”, but were later renamed Mendelsohn triple …

[PDF][PDF] Effectiveness, safety, and comparative side effects

…, CB Polis, EA Micks, MJ Steiner - … technology. 22nd ed …, 2023 - samples.jblearning.com
… In Table 5-2, we have relied on life table estimates derived … of the drug and found a seven-cycle
typical-use pregnancy rate … The Phexxi health care provider website refers to seven-cycle

Effect of consumption of soy isoflavones on behavioural, somatic and affective symptoms in women with premenstrual syndrome

M Bryant, A Cassidy, C Hill, J Powell… - British journal of …, 2005 - cambridge.org
… symptoms of PMS in a seven-cycle randomised double-blind … Participants were asked to
rate the presence and severity of … in reducing PMS (Pearlstein & Steiner, 2000). These data …

The existence of 2-SOLSSOMs

RJR Abel, FE Bennett - Designs 2002: Further Computational …, 2003 - books.google.com
… two distinct vertices x and y of X there exists in C a unique k-cycle along … Steiner k-cycle
system (or HSKCS) of type (t1, t2,..., tn). Existence of an HSKCS of any type implies existence of …