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Mathematics in Computer Science

, Volume 11, Issue 2, pp 219–232 | Cite as

Palindromic Subsequence Automata and Longest Common Palindromic Subsequence

  • Md. Mahbubul Hasan
  • A. S. M. Sohidull Islam
  • M. Sohel Rahman
  • Ayon Sen
Article
  • 85 Downloads

Abstract

In this paper, we present a novel weighted finite automaton called palindromic subsequence automaton (PSA) that is a compact representation of all the palindromic subsequences of a string. Then we use PSA to solve the longest common palindromic subsequence problem. Our automata based algorithms are efficient both in theory and in practice.

Keywords

Finite automata Palindromes Palindromic subsequences Algorithms 

Mathematics Subject Classification

68Q45 68W32 

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Copyright information

© Springer International Publishing 2017

Authors and Affiliations

  • Md. Mahbubul Hasan
    • 1
    • 2
  • A. S. M. Sohidull Islam
    • 1
    • 3
  • M. Sohel Rahman
    • 1
  • Ayon Sen
    • 1
    • 4
  1. 1.AℓEDA Group, Department of CSEBUETDhakaBangladesh
  2. 2.GoogleZurichGermany
  3. 3.School of Computational Science and EngineeringMcMaster UniversityHamiltonCanada
  4. 4.Department of Computer SciencesUniversity of Wisconsin-MadisonMadisonUSA

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