[2410.09984] Palindromes Compression and Retrieval
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Computer Science > Data Structures and Algorithms

arXiv:2410.09984 (cs)
[Submitted on 13 Oct 2024 (v1), last revised 18 Oct 2024 (this version, v2)]

Title:Palindromes Compression and Retrieval

Authors:Michael Itzhaki
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Abstract:This paper introduces a novel method for compressing palindromic structures in strings, establishing upper and lower bounds for their efficient representation. We uncover a unique relationship between the Lempel-Ziv parsing of palindromes and the alphabet size, leveraging this insight to propose a compression algorithm that improves space efficiency of Manacher array. Additionally, we present a data structure capable of storing all maximal palindromes (Manacher array) in sublinear space with near-optimal access time. Our approach reduces the memory overhead of storing palindromes, offering a new avenue for optimizing compression algorithms in text processing applications.
Subjects: Data Structures and Algorithms (cs.DS)
Cite as: arXiv:2410.09984 [cs.DS]
  (or arXiv:2410.09984v2 [cs.DS] for this version)
  https://doi.org/10.48550/arXiv.2410.09984

Submission history

From: Michael Itzhaki [view email]
[v1] Sun, 13 Oct 2024 19:59:03 UTC (20 KB)
[v2] Fri, 18 Oct 2024 14:45:19 UTC (16 KB)
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