推广的几乎可分解的26圈系

Generalized Almost Resolvable 26-Cycle Systems

研究推广的几乎可分解圈系(ARCS)的存在性,利用差的方法,证明了阶为n的推广的几乎可分解圈系(GARCS)存在的充分必要条件为:n≡13(mod 52).推广了P.Adams等提出的方法构造26GARCS(n),进一步给出26GARCS(n)的谱.

By the method of differences, the paper considers the existence of generalized almost resolvable-cycle system with order n which is the extension of almost resolvable cycle system. It is proved that the necessary and sufficient condition for the existence of generalized almost resolvable 26-cycle system of order is n≡13（mod 52）. Generalizing P. Adams＇ s method to construct 26GARCS（n）, we also give its spectrum.