K_8和K_9图式流形的拓扑分类的下界

The low bounds of topological classes in K_8 and K_9 graphlike manifolds

利用图式流形的2个拓扑不变量,即伴随矩阵的特征多项式与积和式,分别得到了K8和K9图式流形的拓扑分类数的下界.如果改进算法,对于更大的自然数n,可以得到Kn图式流形的类似结果.

The low bounds of topological classes in Ks and K9 graphlike manifolds were obtained by using the characteristic polynomial and the permanent of associated matrices. Results of other Ko graphlike manifolds for n 〉 9 could be similarly derived through generalizing the presented algorithm.