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Discrete Mathematics
Volume 104, Issue 1, 1 June 1992, Pages 83-90
 
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doi:10.1016/0012-365X(92)90626-Q    
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Copyright © 1992 Published by Elsevier Science B.V. All rights reserved.

2-perfect m-cycle systems

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C. C. Lindner and C. A. Rodger

Department of Algebra, Combinatotics and Analysis, 120 Mathematics Annex, Auburn University, Auburn, AL 36849-5307, USA


Received 14 November 1989; 
revised 13 August 1990. 
Available online 3 April 2002.

Abstract

The spectrum for 2-perfect m-cycle systems of Kn has been considered by several authors in the case when mless-than-or-equals, slant7. In this paper we essentially solve the problem for 2-perfect m-cycle systems of Kn in the case where m is prime and 2m+1 is a prime power. In particular we settle the problem for m = 11 and 13 except for two or one possible exceptions respectively. The problem for m = 9 is also considered.

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Discrete Mathematics
Volume 104, Issue 1, 1 June 1992, Pages 83-90
 
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