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- W2008790560 abstract "We consider the problem of sorting a permutation using a network of data structures as introduced by Knuth and Tarjan. In general the model as considered previously was restricted to networks that are directed acyclic graphs (DAGs) of stacks and/or queues. In this paper we study the question of which are the smallest general graphs that can sort an arbitrary permutation and what is their efficiency. We show that certain two-node graphs can sort in time Θ ( n 2 ) and no simpler graph can sort all permutations. We then show that certain three-node graphs sort in time Ω ( n 3 / 2 ) , and that there exist graphs of k nodes which can sort in time Θ ( n log k n ) , which is optimal." @default.
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- W2008790560 date "2010-08-01" @default.
- W2008790560 modified "2023-10-18" @default.
- W2008790560 title "Sorting with networks of data structures" @default.
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- W2008790560 doi "https://doi.org/10.1016/j.dam.2010.06.007" @default.
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