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广义等部偶圈的同构因子分解
引用本文:朱丽梅.广义等部偶圈的同构因子分解[J].沈阳航空工业学院学报,2000,17(4):69-72.
作者姓名:朱丽梅
作者单位:沈阳航空工业学院基础部
摘    要:本文证明了广义等部偶圈Cn(m)可以分解为t个同构因子的充要条件是t可以整除Cn(m)的边数,并提出猜测:上面的结果对一般广义等部圈也成立。

关 键 词:广义等部圈    同构因子分解  标准同构分解  图论

Isomorphic Factorization of Generalized Multipartite Even-Cycle
ZHU Li-mei.Isomorphic Factorization of Generalized Multipartite Even-Cycle[J].Journal of Shenyang Institute of Aeronautical Engineering,2000,17(4):69-72.
Authors:ZHU Li-mei
Abstract:This paper has proved that every generalized multipartite even-cycle can be resolved into tisomorphic factors only when the number of sides of generalized multipartite even-cycle can be divided by t; and then put forward a conjecture: the result is true for every generalized multipartite cycle.
Keywords:generalized multipartite even-cycle  isomorphic factorization  standard isomorphic factorization  singular isomorphic factor  nonsingular isomorphic factor
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