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Encyclopedia of Algorithms pp 2136–2139Cite as

Succinct Data Structures for Parentheses Matching

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Years and Authors of Summarized Original Work

  • 2001; Munro, Raman

Problem Definition

This problem is to design succinct representation of balanced parentheses in a manner in which a number of “natural” queries can be supported quickly, and use it to represent trees and graphs succinctly. The problem of succinctly representing balanced parentheses was initially proposed by Jacobson [6] in 1989, when he proposed succinct data structures, i.e., data structures that occupy space close to the information-theoretic lower bound to represent them, while supporting efficient navigational operations. Succinct data structures provide solutions to manipulate large data in modern applications. The work of Munro and Raman [8] provides an optimal solution to the problem of balanced parentheses representation under the word RAM model, based on which they design succinct trees and graphs.

Balanced Parentheses

Given a balanced parenthesis sequence of length 2n, where there are n opening parentheses and n...

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Author information

Authors and Affiliations

  1. School of Computer Science, University of Waterloo, Waterloo, ON, Canada

    Meng He

Authors
  1. Meng He
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Editor information

Editors and Affiliations

  1. Department of Electrical Engineering and Computer Science, Northwestern University, Evanston, IL, USA

    Ming-Yang Kao

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He, M. (2016). Succinct Data Structures for Parentheses Matching. In: Kao, MY. (eds) Encyclopedia of Algorithms. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-2864-4_410

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