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Chen等研究了n-Star网络中的点到多点并行路由问题,对前人的工作做了很大的改进,给出了一个几乎最优的时间复杂度为O(n2)的算法.由Chen的算法所给出的n-1条路P2,…,Pn满足|Pi|dist(v1,vi)+6,其中Pi是连接vi到v1的路,|Pi|表示路Pi的长度,dist(v1,vi)表示vi到v1的最短路的长度.作者进一步改进了Chen等的结果,给出了一个新的时间复杂度仍为O(n2)的算法,然而该算法给出的内部无交路P2,…,Pn满足|Pi|dist(v1,vi)+4(2in),而且无论在时间上还是在生成路的长度上,均是最优的.
Chen et al. Studied the problem of point-to-multipoint parallel routing in n-Star networks and greatly improved the previous work. An almost optimal algorithm with time complexity of O (n2) is given. The n-1 paths P2, ..., Pn given by Chen’s algorithm satisfy | Pi | dist (v1, vi) +6, where Pi is the path connecting vi to v1, | Pi | dist (v1, vi) represents the length of the shortest path from vi to v1. The author further improves the result of Chen et al. And gives a new algorithm of time complexity O (n2). However, the internal non-intersecting P2, ..., Pn given by the algorithm satisfies | Pi | dist (v1 , Vi) +4 (2in), and is optimal both in time and length of generated path.