具有缩影K_n的图式流形  

Graphlike manifolds with contraction K_n

作　　者：钱有华[1] 翁云杰[2] 陈胜敏[1] 

机构地区：[1]浙江师范大学数理学院,浙江金华321004 [2]浙江大学宁波理工学院,浙江宁波315104

出　　处：《浙江师范大学学报（自然科学版）》2004年第4期334-337,共4页Journal of Zhejiang Normal University:Natural Sciences

摘　　要：给出了以Kn(n≥3)为缩影的图式流形的伴随矩阵所有特征多项式个数的算法,并利用Matlab软件求出了缩影为K8和K9的图式流形的伴随矩阵不同特征多项式为235和1824个,从而得到它们同胚分类的下界为235和1824.An algorithm for caculating the total number of the characteristic polynomials of the associated matrices of the graphlike manifolds with contraction K_n(n≥3) was presented. It was caculated that |P_8|=235, |P_9|=1 824 by using Matlab, that is the low bound of homeomorphic class of G_8 and G_9 were 235 and 1 824 respectively.

关 键 词：流形 伴随矩阵 特征多项式 同胚 下界 个数 算法 图式 分类 Matlab软件 

分 类 号：O151.21[理学—数学] O189[理学—基础数学]