广义奇圈的同构因子分解  

Isomorphic Factorization of Generalized Odd-circle

作　　者：田贺民[1] 朱丽梅[2] 张有君[1] 宫华[1] 

机构地区：[1]沈阳工业学院基础部,辽宁沈阳110045 [2]沈阳航空工业学院基础部,辽宁沈阳110034

出　　处：《辽宁师范大学学报（自然科学版）》2002年第2期113-115,共3页Journal of Liaoning Normal University:Natural Science Edition

摘　　要：广义圈是一个简单图G =(V ,E) ,其中点集V =V0 ∪…∪Vn - 1 ,|V0 | =… |Vn - 1 | ,边集Euν|u∈Vi,ν∈Vi + 1 ,i=0 ,…n -1,i+ 1=mod(n) .A generalized circle is a simple graph G=(V,E) in which V=V 1∪...∪V n,|V 1|=...= |V n| , and E=uν|u∈V i,ν∈V i+1 ,i=1,...,n-1,i+1 =mod (n) .This paper has proved that every generalized odd circle can be decomposed into t factors which are pair wise isomorphic if and only if the number of edges of the generalized odd cicle can be divided by t.

关 键 词：广义奇圈 同构因子分解 广义圈 简单图 可分条件 标准同构分解 奇异因子 

分 类 号：O157.5[理学—数学]