竞赛图的广义本原指数及其极图

Generalized Primitive Exponent and Their Extreme Tournaments

证明了n(n≥7)阶本原竞赛图D的第1个广义本原指数expD(1)=3,并给出了第k(1≤k≤n)个广义本原指数expD(k)的最大值和最小值及广义指数达到最大值和最小值的极图刻画.

It is proved the first generalized exponent expD（1） ： 3 for primitive tournaments of order n （n≥7） . Also the maximum and minimum of the generalized primitive exponent expD（k） are determined, and the characterizations of the extreme tournaments as generalized exponent obtains its maximum and minimum are given.