Research note: Networks for sorting multitonic sequences
Journal of Parallel and Distributed Computing
Recursive merge sort with erroneous comparisons
Discrete Applied Mathematics
On compressing permutations and adaptive sorting
Theoretical Computer Science
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The concept of presortedness and its use in sorting are studied. Natural ways to measure presortedness are given and some general properties necessary for a measure are proposed. A concept of a sorting algorithm optimal with respect to a measure of presortedness is defined, and examples of such algorithms are given. A new insertion sort algorithm is shown to be optimal with respect to three natural measures. The problem of finding an optimal algorithm for an arbitrary measure is studied, and partial results are proven.