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3+ε Approximation of Tree Edit Distance in Truly Subquadratic Time

Authors Masoud Seddighin, Saeed Seddighin

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ACM Subject Classification
  • Theory of computation → Design and analysis of algorithms
Keywords
  • tree edit distance
  • approximation
  • subquadratic
  • edit distance

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Abstract

Tree edit distance is a well-known generalization of the edit distance problem to rooted trees. In this problem, the goal is to transform a rooted tree into another rooted tree via (i) node addition, (ii) node deletion, and (iii) node relabel. In this work, we give a truly subquadratic time algorithm that approximates tree edit distance within a factor 3+ε.
Our result is obtained through a novel extension of a 3-step framework that approximates edit distance in truly subquadratic time. This framework has also been previously used to approximate longest common subsequence in subquadratic time.

Cite As Get BibTex

Masoud Seddighin and Saeed Seddighin. 3+ε Approximation of Tree Edit Distance in Truly Subquadratic Time. In 13th Innovations in Theoretical Computer Science Conference (ITCS 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 215, pp. 115:1-115:22, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022) https://doi.org/10.4230/LIPIcs.ITCS.2022.115

Author Details

Masoud Seddighin
  • Institute for Research in Fundamental Sciences (IPM), School of Computer Science, Tehran, Iran
Saeed Seddighin
  • Toyota Technological Institute at Chicago, IL, USA

Acknowledgements

We would like to thank Amir Abboud for very helpful discussions. The second author was supported by a Google Research Gift.

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