中文摘要：

基于直角坐标系研究一类在一族无向双环网络G（N;±1,±s）（1〈s〈N）中直径、平均距离均达到最小值的双优双环网络DG（N;±1,±s）的仿真图形特征及其分布特性,计算出4≤N≤1 000中任意N存在的双优双环网络个数n;仿真出4≤N≤1 000的n-N紧优分布图并列出为紧优,但不存在双优双环网络的N值,发现n-N分布呈现平稳的波动特性,n不随着N递增。

英文摘要：

This paper studied the characteristics of MDD（minimum distance diagram） and the distribution of a kind of dual optimal bidirectional double-loop networks DG（N;±1,±s） which has both the least diameter and the least average distance in the group of G（N;±1,±s）（1sN） based on cartesian coordinates.It caculated the number of dual optimal double-loop networks DG（N;±1,±s） for any given N.The n-N dual optimal distribution char for N varied from 4 to 1 000 has been simulated and the N which has existed tight optimal double-loop networks but has not existed dual optimal double-loop networks was presented.The result of simulation indicates that the characteristic of n-N distribution is waving in a certain range.Compared with many existed documents which focused on the diameter of the double-loop networks only,combined the diameter and the average distance to study the ditribution of dual optimal bidirectional double-loop networks.