在消息传递并行机上的高效的最小生成树算法

基于传统的Borǔ vka串行最小生成树算法，提出了一个在消息传递并行机上的高效的最小生成树算法.并且采用3种方法来提高该算法的效率，即通过两趟合并及打包收缩的方法来减少通信开销，通过平衡数据分布的办法使各个处理器的计算量平衡.该算法的计算和通信复杂度分别为O(n²/p)和O((t_sp+t_wn)n/p).在曙光-1000并行机上运行的实际效果是，对于有10 000个顶点的稀疏图，通过16个节点的运行加速比是12.

An Efficient Parallel Minimum Spanning Tree Algorithm on Message Passing Parallel Machine

An efficient parallel minimum spanning tree is proposed based on the classical Borüvka's algorithm on message passing parallel machine. Three methods were used to improve its efficiency, including two-phase union and packaged contraction for reducing communication costs, and the balanced data distribution for computation balance in each processor. The computation and communication costs of the algorithm are O(n²/p) and O((t_sp+t_wn)n/p). On Dawning-1000 parallel machine, it gets a speedup of 12 on 16 processors with a sparse graph of 10 000 vertices.