对角元为零的本原矩阵指标计算

本文对于一类对角元为零的本原矩阵的指标计算问题进行了研究。反映在图上,即一类无环本原轮形指标计算,指标集为{n十2,n+3,n+4}。另一类无环本原扇形的指标为(n-k)与不超过(n-1)/k的最小整数的乘积加k。这里k为本原扇形辐的条数.k=1时,达到所有本原矩阵的指标上界(n-1)~2+1。

Index Calculation of Primitive Matrices with Null Diagonal Elements

Studies the index calculation of a class of primitive matrices with null diagonal elements or, graphically, that of a class of no-ring primitive wheels with an index set of {n+2, n + 3, n+4). In addition, a class of no-ring primitive sectors are discussed that the indices can be calculated as a product of (n -k) and the minimum integral number not over (n-1)/k plus k(the number of spokes in the sector). In case 4 = 1, the index reaches the upper bound for all primitive matrices, i.e. (n-1)2 + 1.