论文标题
在广义组合网络的标量和向量解之间的差距上
On the Gap between Scalar and Vector Solutions of Generalized Combination Networks
论文作者
论文摘要
我们研究了通用组合网络的标量线性和矢量线性溶液。根据网络参数，我们在中间层的最大节点数量上得出了新的上限和下限。这些边界改善并扩展了已知边界的参数范围。使用这些新边界，我们在标量线和矢量线性溶液之间的字母大小的间隙上呈现一般的下限。
We study scalar-linear and vector-linear solutions to the generalized combination network. We derive new upper and lower bounds on the maximum number of nodes in the middle layer, depending on the network parameters. These bounds improve and extend the parameter range of known bounds. Using these new bounds we present a general lower bound on the gap in the alphabet size between scalar-linear and vector-linear solutions.
