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arXiv · 1605.04160

Searching Lattice Data Structures of Varying Degrees of Sortedness

Mohammad Obiedat
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Abstract

Lattice data structures are space efficient and cache-suitable data structures. The basic searching, insertion, and deletion operations are of time complexity $O(\sqrt{N})$. We give a jump searching algorithm of time complexity $O(J(L)\log(N))$, where $J(L)$ is the jump factor of the lattice. $J(L)$ approaches $4$ when the degree of sortedness of the lattice approaches $\sqrt{N}$. A sorting procedure of time complexity $O(\sqrt{N})$ that can be used, during the system idle time, to increase the degree of sortedness of the lattice is given.

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Mohammad Obiedat. 2016-05-13. Searching Lattice Data Structures of Varying Degrees of Sortedness. https://arxiv.org/abs/1605.04160

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