提出新的无向双环网络G(N;±r,±s)的直径求解法——分步法;并得到一种新的直观图——螺旋环,研究了螺旋环的性质;给出了无向双环网络的直链d(N;±r,±s)的显式公式;给出了N,s都固定的直径算法;在N固定,且2≤r〈s≤N-1时,给出了一族无向双环网络的直径算法.利用VB6.0和SQL Server2000来仿真后者;对任意N,有不少r,s使得G(N;±r,±s)紧优或几乎紧优.验证了Boesch和Wang等提出的元向双环网络G(N;±r,±s)的直径下界;给出了一个新的直径上界公式.
A new method, step-search-diameter, is presented to calculate the diameter of undirected double-loop networks G(N;±r, ±s). A new intuitional diagram, spiral ring, is obtained by this method and its attributes were studied. A simple formula for expressing d(N;±r, ±s) of this network is presented. The algorithm to calculate the network with fixed N and s and the one to calculate the diameter of the networks with fixed N and r,s(r〈s) varying to N-1 from 2 are both given. The latter algorithm was simulated by VB6.0 and SQL Server2000. The results show that for any given N, many s make G(N;±r, ±s) tight optimal or nearly tight optimal. The limited bound of the diameter of the network G(N;±r,±s) presented by Boesch and Wang was certified. A new for mula for calculating the upper bound of the diameter of the networks is also given.