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Node-disjoint paths in incomplete WK-recursive networks
Authors:Ming-Yang Su   Hui-Ling Huang   Gen-Huey Chen  Dyi-Rong Duh
Abstract:The incomplete WK-recursive networks have been recently proposed to relieve the restriction on the sizes of the WK-recursive networks. In this paper, a maximal set of node-disjoint paths is constructed between arbitrary two nodes of an incomplete WK-recursive network. The effectiveness of the constructed paths is verified by both theoretic analysis and extensive experiments. A tight upper bound on the maximal length is suggested. On the other hand, experimental results show that for arbitrary two nodes, the expected maximal length is not greater than twice their distance and about equal to the diameter. When the two nodes are the farthest pair, the maximal length is not greater than twice the diameter and the expected maximal length is not greater than 1.5 times the diameter.
Keywords:Graph-theoretic interconnection network   Incomplete WK-recursive network   Node-disjoint paths   WK-recursive network
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