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Titlebook: Algorithms and Computation; 8th International Sy Hon Wai Leong,Hiroshi Imai,Sanjay Jain Conference proceedings 1997 Springer-Verlag Berlin

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Formulation of the addition-shift-sequence problem and its complexity,tion, and it will be called the . problem. As a fundamental result on computational complexity, we show that the addition-shift-sequence problem is NP-complete. Then, we show lower and upper bounds of the number of operations for some particular sequence, where some techniques specific to our model are demonstrated.
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Multi-color routing in the undirected hypercube,y one of the . colors so that the paths of the same color are edge disjoint (each edge of . appears at most once in the paths of each single color). Let .. denote the .-dimensional hypercube, for arbitrary . ≥ 1. We show that a routing problem (.., .) always admits a four-colorable solution when . is a matching, i.e., its maximum degree is one.
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Competitive source routing on tori and meshes,e system load distribution. The cost we concern about is the maximum load among the edges. We use . to measure the performance of algorithms. We show that the competitive ratio for any algorithm is ,Ω(log .), and we provide an algorithm whose competitive ratio is .(log .).
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