Palindromes Compression and Retrieval

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.