推广的几乎可分解的26圈系  

Generalized Almost Resolvable 26-Cycle Systems

作　　者：蒲利群[1] 方佳[1] 马俊[2] 

机构地区：[1]郑州大学数学系,河南郑州450001 [2]上海交通大学数学系,上海200240

出　　处：《华侨大学学报（自然科学版）》2013年第2期236-240,共5页Journal of Huaqiao University(Natural Science)

基　　金：国家自然科学基金资助项目(11071163)

摘　　要：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.

关 键 词：圈系 可分解圈系 几乎可分解圈系 推广的几乎可分解圈系 平行类 

分 类 号：O157.2[理学—数学]