在L形瓦理论的基础上,结合数论中的素数理论,通过计算机搜索,首次得到9紧优双环网N(2 500 139),其中N(t)=3t2+4t-2 222 698。用理论证明N(2 500 139)是9紧优双环网,并且给出一个含有参数的9紧优双环网无限族;同时指出了参考文献中的若干错误。
Based on the theory of L-shaped tile and prime number theory,it is provedthat N(2 500 139) is 9-tight,while N(t)=3t2+4t-2 222 698.An infinite family of 9-tight optimal double loop networks with a parameter is further derived.With these results,some errata in the bibliography are corrected.