奇异k紧优双环网络无限族的构造

Construction of Infinite Families of Singular k-Tight Optimal Double Loop Networks

提出构造任意奇异k紧优双环网络无限族的一种方法.对于整数k>12m+3+(2i-1)224,m≥i-i2-13,设N(t)=3t2+(2i-1)t+B,其中B=k2+k-m,1≤i≤3且N(t)∈Ii(t),证明了对于若干组i和m,可以构造奇异k紧优双环网络无限族.

A new approach is presented to construct infinite families of singular k-tight optimal double loop networks. As its applications, the authors give some infinite families of singular k-tight optimal double loop networks when N（t）=3t^2＋（2i-1）t＋B,B=k^2＋k-m,1≤i≤3 and N（t）∈Ii（t） for integers k〉1/2m＋3＋（2i-1）^2/24,m≥i-i^2-1/3.