Almost resolvable cycle systems—an analogue of Hanani triple systems

AbstractThe purpose of this paper is the initiation of an attack on the general existence problem for almost resolvable 2k‐cycle systems. We give a complete solution for 2k=6 as well as a complete solution modulo one possible exception for 2k=10 and 14. We also show that the existence question for almost resolvable 2k‐cycle systems can be settled if we can show the existence for the two smallest possible orders 4k+1 and 8k+1. © 2009 Wiley Periodicals, Inc. J Combin Designs 17: 404–410, 2009

Almost resolvable cycle systems—an analogue of Hanani triple systems Journal Articles