提出一种新的紧优双环网络无限族的构造方法.该方法从一个具体的不含k(0≤k≤m)紧优双环网络的N0出发,通过求一个同余方程方程组的所有解,构造不含k(0≤k≤m)紧优双环网络的无限族.从一个具体的可实现L形瓦出发,利用其h和y互素条件,构造可实现L形瓦的无限族.作为应用,给出若干7紧优和8紧优双环网络无限族;解决了几个关于紧优双环网络无限族的公开问题.
A new approach was derived to construct infinite families of k-tight(k≥0) optimal double loop networks.By constructing a group of congruence equations,an infinite family of k-tight(k>m) optimal double loop networks can be constructed starting from a k0-tight(k0>m) optimal double loop network.With the co-prime property of h and y,an infinite family of realizable L-shaped tiles can be constructed starting from a realizable L-shaped tile.As applications,some infinite families of 7-tight and 8-tight optim...