Almost Resolvable Cycle Systems-An Analogue of Hanani Triple Systems

作者:Lindner C C*; Meszka M; Rosa A
来源:Journal of Combinatorial Designs, 2009, 17(5): 404-410.
DOI:10.1002/jcd.20204

摘要

The 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.

  • 出版日期2009-9