2-perfect \(m\)-cycle systems
type: Item
instance of: scholarly article
title: 2-perfect \(m\)-cycle systems
zbMATH Open document ID: 0766.05045
DOI: 10.1016/0012-365X(92)90626-Q
author: C. A. Rodger
author: C. C. Lindner
published in: Discrete Mathematics
publication date: 1993-01-16T00:00:00Z
review text: The spectrum for 2-perfect \(m\)-cycle systems of \(K_ n\) has been considered by several authors in the case \(m\leq 7\); see, for example, \textit{C. C. Lindner}, \textit{K. T. Phelps} and \textit{C. A. Rodger} [The spectrum for 2-perfect 6-cycle systems, J. Comb. Theory, Ser. A 57, No. 1, 76-85 (1991; Zbl 0758.05015)]. In the present paper the authors essentially solve the problem in the case where \(m\) is prime and \(2m+1\) is a prime power. In particular, they settle the problem for \(m=11\) and \(m=13\), except for two and one possible exceptions, respectively. They also consider the problem for \(m=9\).
reviewed by: E. J. F. Primrose
Mathematics Subject Classification ID: 05C38
zbMATH DE Number: 89882
zbMATH Keywords: \(m\)-cycle systems
zbMATH Keywords: spectrum
MaRDI profile type: Publication
cites work: Q3358739
cites work: On the construction of odd cycle systems
cites work: Neighbor designs
cites work: Q3342588
cites work: Q3983102
cites work: The spectrum for 2-perfect 6-cycle systems
cites work: Steiner pentagon systems
cites work: Q3981348
cites work: Q3983103
cites work: On the existence of MOLS with equal-sized holes
full work available at URL: 0012-365x(92)90626-q
OpenAlex ID: W2133873582
description: scientific article; zbMATH DE number 89882