We prove a lower bound expressed in the increment se- quence on the average-case complexity of the number of inversions of Shellsort. This lower bound is sharp in every case where it could be checked. A special case of this lower bound yields the general Jiang-Li-Vitányi lower bound. We obtain new results, for example, determining the average- case complexity precisely in the Yao-Janson-Knuth 3-pass case.

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Keywords average-case complexity, Kolmogorov complexity, lower bound, Shellsort
Persistent URL dx.doi.org/10.1002/rsa.20737
Journal Random Structures and Algorithms
Vitányi, P.M.B. (2018). On the average-case complexity of Shellsort. Random Structures and Algorithms, 52(2), 354–363. doi:10.1002/rsa.20737