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NODE-TO-SET DISJOINT PATHS ROUTING IN METACUBE

机译:在METACUBE中进行节点到设置的分离路径路由

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摘要

The metacube interconnection network targeting large par-rnallel computers has been introduced a few years ago. Keep-rning its diameter short, similar to that of the hypercube,rnthis network has a degree much lower than that of a hy-rnpercube of the same size. For example, with only 6 linksrnper node, the corresponding metacube is able to connectrnmore than one hundred of millions of nodes. We in-rntroduce in this paper a routing algorithm for finding inrna metacube MC(k;m) disjoint paths between one sourcernnode and a maximum of m + k destination nodes. Wernshow that for any source node s, and any destination nodesrnD = {d_1,…,d_n}; n ≤ m + k, we can find n dis-rnjoint paths from s to di (1 ≤ i ≤ n) of maximal lengthrn(m2~k + n)(k + 1) + k + 4 in O(nm2~k(log n + k)) timerncomplexity.
机译:面向大型并行计算机的metacube互连网络已于几年前引入。保持其直径短,类似于超立方体的直径,该网络的程度远低于相同大小的超立方体的程度。例如,在每个节点只有6个链接的情况下,相应的metacube可以连接超过一亿个节点。我们在本文中介绍了一种路由算法,用于查找一个源节点和最多m + k个目标节点之间的内部元立方体MC(k; m)不相交的路径。 Wernshow对于任何源节点s和任何目标节点rnD = {d_1,…,d_n}; n≤m + k,我们可以找到从s到最大长度的di(1≤i≤n)的n个不相交路径rn(m2〜k + n)(k +1)+ k + 4 in O(nm2〜k (log n + k))时间复杂度。

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