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Multiple-edge-fault tolerance with respect to hypercubes

By Ting-yi Sung, Men-yang Lin and Tung-yang Ho


Abstract—Previous works on edge-fault tolerance with respect to hypercubes Q n are mainly focused on 1-edge fault and 2- or 3-edge fault with limited size of n. We give a construction scheme for 2-EFT(Q n) graphs and 3-EFT(Q n) graphs, where n is arbitrarily large. In our constructions, approximately log n extra degree is added to the vertices of Q n for 2-edge-fault tolerance, and one more degree for 3-edge-fault tolerance

Topics: Index Terms—Edge-fault tolerance, reconfigurations, hypercubes, interconnection networks, linear algebra
Year: 1997
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