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arXiv · 2504.00828

Linked Array Tree: A Constant-Time Search Structure for Big Data

Songpeng Liu
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Abstract

As data volumes continue to grow rapidly, traditional search algorithms, like the red-black tree and B+ Tree, face increasing challenges in performance, especially in big data scenarios with intensive storage access. This paper presents the Linked Array Tree (LAT), a novel data structure designed to achieve constant-time complexity for search, insertion, and deletion operations. LAT leverages a sparse, non-moving hierarchical layout that enables direct access paths without requiring rebalancing or data movement. Its low memory overhead and avoidance of pointer-heavy structures make it well-suited for large-scale and intensive workloads. While not specifically tested under parallel or concurrent conditions, the structure's static layout and non-interfering operations suggest potential advantages in such environments. This paper first introduces the structure and algorithms of LAT, followed by a detailed analysis of its time complexity in search, insertion, and deletion operations. Finally, it presents experimental results across both data-intensive and sparse usage scenarios to evaluate LAT's practical performance.

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Songpeng Liu. 2025-04-01. Linked Array Tree: A Constant-Time Search Structure for Big Data. https://arxiv.org/abs/2504.00828

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